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An inclinometer or clinometer is an instrument used for measuring angles of
slope In mathematics, the slope or gradient of a line is a number that describes both the ''direction'' and the ''steepness'' of the line. Slope is often denoted by the letter ''m''; there is no clear answer to the question why the letter ''m'' is used ...
,
elevation The elevation of a geographic location is its height above or below a fixed reference point, most commonly a reference geoid, a mathematical model of the Earth's sea level as an equipotential gravitational surface (see Geodetic datum § ...
, or depression of an object with respect to
gravity In physics, gravity () is a fundamental interaction which causes mutual attraction between all things with mass or energy. Gravity is, by far, the weakest of the four fundamental interactions, approximately 1038 times weaker than the str ...
's direction. It is also known as a ''tilt indicator'', ''tilt sensor'', ''tilt meter'', ''slope alert'', ''slope gauge'', ''gradient meter'', ''gradiometer'', ''level gauge'', ''level meter'', ''declinometer'', and ''pitch & roll indicator''. Clinometers measure both inclines and declines using three different units of measure: degrees,
percentage point A percentage point or percent point is the unit for the arithmetic difference between two percentages. For example, moving up from 40 percent to 44 percent is an increase of 4 percentage points, but a 10-percent increase in the quantity being me ...
s, and topos. The
astrolabe An astrolabe ( grc, ἀστρολάβος ; ar, ٱلأَسْطُرلاب ; persian, ستاره‌یاب ) is an ancient astronomical instrument that was a handheld model of the universe. Its various functions also make it an elaborate incli ...
is an example of an inclinometer that was used for
celestial navigation Celestial navigation, also known as astronavigation, is the practice of position fixing using stars and other celestial bodies that enables a navigator to accurately determine their actual current physical position in space (or on the surface ...
and location of
astronomical object An astronomical object, celestial object, stellar object or heavenly body is a naturally occurring physical entity, association, or structure that exists in the observable universe. In astronomy, the terms ''object'' and ''body'' are often us ...
s from ancient times to the
Renaissance The Renaissance ( , ) , from , with the same meanings. is a period in European history marking the transition from the Middle Ages to modernity and covering the 15th and 16th centuries, characterized by an effort to revive and surpass id ...
. A ''tilt sensor'' can measure the tilting in often two axes of a reference plane in two axes. In contrast, a full motion would use at least three axes and often additional sensors. One way to measure tilt angle with reference to the earth's ground plane, is to use an
accelerometer An accelerometer is a tool that measures proper acceleration. Proper acceleration is the acceleration (the rate of change of velocity) of a body in its own instantaneous rest frame; this is different from coordinate acceleration, which is acce ...
. Typical applications can be found in the industry and in game controllers. In aircraft, the "ball" in turn coordinators or turn and bank indicators is sometimes referred to as an inclinometer.


History

Inclinometers include examples such as Well's in-clinometer, the essential parts of which are a flat side, or base, on which it stands, and a hollow disc just half filled with some heavy liquid. The glass face of the disc is surrounded by a graduated scale that marks the angle at which the surface of the liquid stands, with reference to the flat base. The zero line is parallel to the base, and when the liquid stands on that line, the flat side is horizontal; the 90 degree is perpendicular to the base, and when the liquid stands on that line, the flat side is perpendicular or plumb. Intervening angles are marked, and, with the aid of simple conversion tables, the instrument indicates the rate of fall per set distance of horizontal measurement, and set distance of the sloping line. The Abney level is a handheld
surveying Surveying or land surveying is the technique, profession, art, and science of determining the terrestrial two-dimensional or three-dimensional positions of points and the distances and angles between them. A land surveying professional is ...
instrument developed in the 1870s that includes a sighting tube and inclinometer, arranged so that the surveyor may align the sighting tube (and its crosshair) with the reflection of the bubble in the
spirit level A spirit level, bubble level, or simply a level, is an instrument designed to indicate whether a surface is horizontal (level) or vertical ( plumb). Different types of spirit levels may be used by carpenters, stonemasons, bricklayers, oth ...
of the inclinometer when the line of sight is at the angle set on the inclinometer. One of the more famous inclinometer installations was on the panel of the Ryan NYP "The Spirit of St. Louis"—in 1927 Charles Lindbergh chose the lightweight Rieker Inc P-1057 Degree Inclinometer to give him climb and descent angle information.


Uses

Hand-held clinometers are used for a variety of surveying and measurement tasks. In land surveying and mapping, a clinometer can provide a rapid measurement of the slope of a geographic feature, or used for
cave survey A cave survey is a map of all or part of a cave system, which may be produced to meet differing standards of accuracy depending on the cave conditions and equipment available underground. Cave surveying and cartography, i.e. the creation of an a ...
. In prospecting for minerals, clinometers are used to measure the
strike and dip Strike and dip is a measurement convention used to describe the orientation, or attitude, of a planar geologic feature. A feature's strike is the azimuth of an imagined horizontal line across the plane, and its dip is the angle of inclination ...
of geologic formations. In forestry, tree height measurement can be done with a clinometer using standardized methods including
triangulation In trigonometry and geometry, triangulation is the process of determining the location of a point by forming triangles to the point from known points. Applications In surveying Specifically in surveying, triangulation involves only angle ...
. Major
artillery Artillery is a class of heavy military ranged weapons that launch munitions far beyond the range and power of infantry firearms. Early artillery development focused on the ability to breach defensive walls and fortifications during sieg ...
guns may have an associated clinometer used to facilitate aiming of shells over long distances. Permanently-installed tiltmeters are emplaced at major earthworks such as dams to monitor the long-term stability of the structure.


Factors which influence the use of inclinometers

(Overall accuracy varies depending on the type of tilt sensor (or inclinometer) and technology used) * Gravity * Temperature (drift), zero offset, linearity, vibration, shock, cross-axis sensitivity, acceleration/deceleration. * A clear line of sight between the user and the measured point is needed. * A well defined object is required to obtain the maximum precision. * The angle measurement precision and accuracy is limited to slightly better than one arcsec.


Accuracy

Certain highly sensitive electronic inclinometer sensors can achieve an output resolution to 0.0001°; depending on the technology and angle range, it may be limited to 0.01°. An inclinometer sensor's true or absolute accuracy (which is the combined total error), however, is a combination of initial sets of sensor zero offset and sensitivity, sensor linearity,
hysteresis Hysteresis is the dependence of the state of a system on its history. For example, a magnet may have more than one possible magnetic moment in a given magnetic field, depending on how the field changed in the past. Plots of a single component of ...
, repeatability, and the temperature drifts of zero and sensitivity—electronic inclinometers accuracy can typically range from ±0.01–2° depending on the sensor and situation. Typically in room ambient conditions the accuracy is limited to the sensor linearity specification. File:InclinometerMeteor.jpg, Nautical wall inclinometer File:Clinometerlow.jpg, Simple clinometer File:Digital protractor.jpg, Digital protractor File:Vickers Clino R.JPG, Clinometer designed to enable
indirect fire Indirect fire is aiming and firing a projectile without relying on a direct line of sight between the gun and its target, as in the case of direct fire. Aiming is performed by calculating azimuth and inclination, and may include correcting ai ...
capability with a
Vickers machine gun The Vickers machine gun or Vickers gun is a water-cooled .303 British (7.7 mm) machine gun produced by Vickers Limited, originally for the British Army. The gun was operated by a three-man crew but typically required more men to move and ...
circa 1918 File:Breithaupt Kassel 25704-271300.01.0 clinometer DSC03651.JPG, Mechanical spirit level clinometer with micrometer adjustment


Sensor technology

Tilt sensors and inclinometers generate an
artificial horizon The attitude indicator (AI), formerly known as the gyro horizon or artificial horizon, is a flight instrument that informs the pilot of the aircraft orientation relative to Earth's horizon, and gives an immediate indication of the smallest or ...
and measure angular tilt with respect to this horizon. They are used in cameras, aircraft flight controls, automobile security systems, and speciality switches and are also used for platform leveling, boom angle indication, and in other applications requiring measurement of tilt. Important specifications to consider for tilt sensors and inclinometers are the tilt angle range and the number of axes. The axes are usually, but not always,
orthogonal In mathematics, orthogonality is the generalization of the geometric notion of '' perpendicularity''. By extension, orthogonality is also used to refer to the separation of specific features of a system. The term also has specialized meanings in ...
. The tilt angle range is the range of desired linear output. Common implementations of tilt sensors and inclinometers are accelerometer, Liquid Capacitive, electrolytic, gas bubble in liquid, and pendulum. Tilt sensor technology has also been implemented in video games. ''
Yoshi's Universal Gravitation (released in North America as ''Yoshi Topsy-Turvy'') is a 2004 platform game for the Game Boy Advance that was developed by Artoon and published by Nintendo. It features a built-in tilt sensor, which is used to manipulate the game's environment ...
'' and '' Kirby Tilt 'n' Tumble'' are both built around a tilt sensor mechanism, which is built into the cartridge. The
PlayStation 3 The PlayStation 3 (PS3) is a home video game console developed by Sony Interactive Entertainment, Sony Computer Entertainment. The successor to the PlayStation 2, it is part of the PlayStation brand of consoles. It was first released on Novemb ...
and Wii game controllers also use tilt as a means to play video games. Inclinometers are also used in
civil engineering Civil engineering is a professional engineering discipline that deals with the design, construction, and maintenance of the physical and naturally built environment, including public works such as roads, bridges, canals, dams, airports, sewa ...
, for example, to measure the inclination of land to be built upon. Some inclinometers provide an electronic interface based on CAN (Controller Area Network). In addition, those inclinometers may support the standardized CANopen profile (CiA 410). In this case, these inclinometers are compatible and partly interchangeable.


Two-axis digital inclinometer

Traditional spirit levels and pendulum-based electronic leveling instruments are usually constrained by only single-axis and narrow tilt measurement range. However, most precision leveling, angle measurement, alignment and surface flatness profiling tasks essentially involve a two-dimensional surface plane angle rather than two independent orthogonal single-axis objects. Two-axis inclinometers that are built with
MEMS Microelectromechanical systems (MEMS), also written as micro-electro-mechanical systems (or microelectronic and microelectromechanical systems) and the related micromechatronics and microsystems constitute the technology of microscopic devices, ...
tilt sensors provides simultaneous two-dimensional angle readings of a surface plane tangent to earth datum. Typical advantages of using two-axis
MEMS Microelectromechanical systems (MEMS), also written as micro-electro-mechanical systems (or microelectronic and microelectromechanical systems) and the related micromechatronics and microsystems constitute the technology of microscopic devices, ...
inclinometers over conventional single-axis "bubble" or mechanical leveling instruments may include: * Simultaneous measurement of two-dimensional (X-Y plane) tilt angles (i.e. pitch & roll), can eliminate tedious swapping back-and-forth experienced when using a single-axis level, for example to adjust machine footings to attain a precise leveling position. * Digital compensation and precise calibration for non-linearity, for example for operating temperature variation, resulting in higher accuracy over a wider measurement range. * The accelerometer sensors may generate numerical data in the form of vibration profiles to enable a machine installer to track and assess alignment quality in real-time and verify a structure's positional stability by comparing leveling profiles before and after it is set up.


Inclinometer with gyroscope

As inclinometers measure the angle of an object with respect to the force of gravity, external accelerations like rapid motions, vibrations or shocks will introduce errors in the tilt measurements. To overcome this problem, it is possible to use a gyroscope in addition to an accelerometer. Any of the abovementioned accelerations have a huge impact on the accelerometer, but a limited effect on the measured rotation rates of the gyroscope. An algorithm can combine both signals to get the best value out of each sensor. This way it is possible to separate the actual tilt angle from the errors introduced by external accelerations.


Applications

Inclinometers are used for: * Determining latitude using
Polaris Polaris is a star in the northern circumpolar constellation of Ursa Minor. It is designated α Ursae Minoris ( Latinized to ''Alpha Ursae Minoris'') and is commonly called the North Star or Pole Star. With an apparent magnitude that ...
(in the Northern Hemisphere) or the two stars of the constellation
Crux Crux () is a constellation of the southern sky that is centred on four bright stars in a cross-shaped asterism commonly known as the Southern Cross. It lies on the southern end of the Milky Way's visible band. The name ''Crux'' is Latin for ...
(in the Southern Hemisphere). * Determining the angle of the Earth's magnetic field with respect to the horizontal plane. * Showing a deviation from the true vertical or horizontal. *
Surveying Surveying or land surveying is the technique, profession, art, and science of determining the terrestrial two-dimensional or three-dimensional positions of points and the distances and angles between them. A land surveying professional is ...
, to measure an angle of inclination or elevation. * Alerting an equipment operator that it may tip over. * Measuring angles of elevation, slope, or incline, e.g. of an embankment. * Measuring slight differences in slopes, particularly for
geophysics Geophysics () is a subject of natural science concerned with the physical processes and physical properties of the Earth and its surrounding space environment, and the use of quantitative methods for their analysis. The term ''geophysics'' som ...
. Such inclinometers are, for instance, used for monitoring
volcano A volcano is a rupture in the crust of a planetary-mass object, such as Earth, that allows hot lava, volcanic ash, and gases to escape from a magma chamber below the surface. On Earth, volcanoes are most often found where tectonic plates ...
es, or for measuring the depth and rate of landslide movement. * Measuring movements in walls or the ground in civil engineering projects. * Determining the dip of beds or strata, or the slope of an embankment or cutting; a kind of plumb level. * Some automotive
safety Safety is the state of being "safe", the condition of being protected from harm or other danger. Safety can also refer to the control of recognized hazards in order to achieve an acceptable level of risk. Meanings There are two slightly di ...
systems. * Indicating pitch and roll of vehicles, nautical craft, and aircraft. See turn coordinator and slip indicator. * Monitoring the boom angle of cranes and material handlers. * Measuring the "look angle" of a satellite antenna towards a satellite. * Adjusting a
solar panel A solar cell panel, solar electric panel, photo-voltaic (PV) module, PV panel or solar panel is an assembly of photovoltaic solar cells mounted in a (usually rectangular) frame, and a neatly organised collection of PV panels is called a pho ...
to the optimal angle to maximize its output. * Measuring the slope angle of a tape or chain during distance measurement. * Measuring the height of a building, tree, or other feature using a vertical angle and a distance (determined by taping or pacing), using
trigonometry Trigonometry () is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. ...
. * Measuring the angle of drilling in
well logging Well logging, also known as borehole logging is the practice of making a detailed record (a ''well log'') of the geologic formations penetrated by a borehole. The log may be based either on visual inspection of samples brought to the surface ...
. * Measuring the
list A ''list'' is any set of items in a row. List or lists may also refer to: People * List (surname) Organizations * List College, an undergraduate division of the Jewish Theological Seminary of America * SC Germania List, German rugby uni ...
of a
ship A ship is a large watercraft that travels the world's oceans and other sufficiently deep waterways, carrying cargo or passengers, or in support of specialized missions, such as defense, research, and fishing. Ships are generally distinguishe ...
in still water and the roll in rough water. * Measuring steepness of a ski slope. * Measuring the orientation of
planes Plane(s) most often refers to: * Aero- or airplane, a powered, fixed-wing aircraft * Plane (geometry), a flat, 2-dimensional surface Plane or planes may also refer to: Biology * Plane (tree) or ''Platanus'', wetland native plant * ''Planes' ...
and lineations in rocks, in combination with a
compass A compass is a device that shows the cardinal directions used for navigation and geographic orientation. It commonly consists of a magnetized needle or other element, such as a compass card or compass rose, which can pivot to align itself with ...
, in
structural geology Structural geology is the study of the three-dimensional distribution of rock units with respect to their deformational histories. The primary goal of structural geology is to use measurements of present-day rock geometries to uncover informati ...
. * Measuring
range of motion Range of motion (or ROM), is the linear or angular distance that a moving object may normally travel while properly attached to another. It is also called range of travel (or ROT), particularly when talking about mechanical devices and in mechanic ...
in the joints of the body * Measuring the inclination angle of the pelvis. Numerous neck and back measurements require the simultaneous use of two inclinometers. * it measures the angle of elevation, and ultimately computing the altitudes of, many things otherwise inaccessible for direct measurement. * Measuring and fine tuning the angle of line array speaker hangs. Confirmation of the angle achieved via use of a laser built into the
remote inclinometer Remote may refer to: Arts, entertainment, and media * ''Remote'' (1993 film), a 1993 movie * ''Remote'' (2004 film), a Tamil-language action drama film * ''Remote'' (album), a 1988 album by Hue & Cry * Remote (band), ambient chillout band * ' ...
. * Setting correct orientation of solar panels while installing * Setting firing angle of a cannon or gun (determines projectile range) * Electronic games * Help prevent unsafe working conditions. * The
USDA The United States Department of Agriculture (USDA) is the federal executive department responsible for developing and executing federal laws related to farming, forestry, rural economic development, and food. It aims to meet the needs of com ...
Forest Service uses tilt sensors (or inclinometers) to measure tree height in its
Forest Inventory and Analysis A forest is an area of land dominated by trees. Hundreds of definitions of forest are used throughout the world, incorporating factors such as tree density, tree height, land use, legal standing, and ecological function. The United Nations' ...
program. *
Logistics Logistics is generally the detailed organization and implementation of a complex operation. In a general business sense, logistics manages the flow of goods between the point of origin and the point of consumption to meet the requirements of ...
and
transport Transport (in British English), or transportation (in American English), is the intentional movement of humans, animals, and goods from one location to another. Modes of transport include air, land ( rail and road), water, cable, pipel ...
also use tilt indicators, it is a specific system for single use. They are attached to the products during the shipping process.


Games

Nintendo used tilt sensor technology in five games for its
Game Boy The is an 8-bit fourth generation handheld game console developed and manufactured by Nintendo. It was first released in Japan on April 21, 1989, in North America later the same year, and in Europe in late 1990. It was designed by the same te ...
series of hand-held game systems. The tilt sensor allows players to control aspects of the game by twisting the game system. Games that use this feature: * ''
Yoshi's Universal Gravitation (released in North America as ''Yoshi Topsy-Turvy'') is a 2004 platform game for the Game Boy Advance that was developed by Artoon and published by Nintendo. It features a built-in tilt sensor, which is used to manipulate the game's environment ...
'' (Game Boy Advance) * '' WarioWare: Twisted!'' (Game Boy Advance)(not released in Europe) * '' Koro Koro Puzzle Happy Panechu!'' (Game Boy Advance)(Japan only) * '' Kirby Tilt 'n' Tumble'' (
Game Boy Color The (commonly abbreviated as GBC) is a handheld game console, manufactured by Nintendo, which was released in Japan on October 21, 1998 and to international markets that November. It is the successor to the Game Boy and is part of the Game ...
)(not released in Europe) *
Command Master Enix was a Japanese video game publishing company founded in September 1975 by Yasuhiro Fukushima. Initially a tabloid publisher named Eidansha Boshu Service Center, it ventured in 1982 into video game publishing for Japanese home computers such ...
(
Game Boy Color The (commonly abbreviated as GBC) is a handheld game console, manufactured by Nintendo, which was released in Japan on October 21, 1998 and to international markets that November. It is the successor to the Game Boy and is part of the Game ...
)(Japan only) Tilt sensors can also be found in game controllers such as the Microsoft Sidewinder Freestyle Pro and Sony's
PlayStation 3 The PlayStation 3 (PS3) is a home video game console developed by Sony Interactive Entertainment, Sony Computer Entertainment. The successor to the PlayStation 2, it is part of the PlayStation brand of consoles. It was first released on Novemb ...
controller. However, unlike these other controllers in which the tilt sensor serves as a supplement to normal control methods, it serves as one of the central features of Nintendo's
Wii Remote The Wii Remote, also known colloquially as the Wiimote, is the primary game controller for Nintendo's Wii home video game console. An essential capability of the Wii Remote is its motion sensing capability, which allows the user to interact ...
and the Nunchuk attachment. Along with accelerometers, the tilt sensors are a primary method of control in most Wii games. It is now being used in many different aspects, instead of just games like
motocross Motocross is a form of off-road motorcycle racing held on enclosed off-road circuits. The sport evolved from motorcycle trials competitions held in the United Kingdom. History Motocross first evolved in Britain from motorcycle trials competi ...
ing and flight simulators. It can be used for sport gaming,
first-person shooter First-person shooter (FPS) is a sub-genre of shooter video games centered on gun and other weapon-based combat in a first-person perspective, with the player experiencing the action through the eyes of the protagonist and controlling the pl ...
, and other odd uses such as in '' WarioWare: Smooth Moves'' Another example is a virtual version of a wooden maze with obstacles in which you have to maneuver a ball by tilting the maze. A homebrew tilt sensor interface was made for the
Palm (PDA) Palm was a line of personal digital assistants (PDAs) and mobile phones developed by California-based Palm, Inc., originally called Palm Computing, Inc. Palm devices are often remembered as "the first wildly popular handheld computers," respon ...
.


See also

*
Grade (slope) The grade (also called slope, incline, gradient, mainfall, pitch or rise) of a physical feature, landform or constructed line refers to the tangent of the angle of that surface to the horizontal. It is a special case of the slope, where zero ind ...
*
Liquid capacitive inclinometers Liquid capacitive inclinometers are inclinometers (or clinometers) whose sensing elements are made with a liquid-filled differential capacitor; they sense the local direction of acceleration due to gravity (or movement). John G. Webster, Halit Eren ...
*
Theodolite A theodolite () is a precision optical instrument for measuring angles between designated visible points in the horizontal and vertical planes. The traditional use has been for land surveying, but it is also used extensively for building and ...
* Tiltmeter


References


External links


Inclinometer Blog – General Inclinometer Information

MEMS inclinometer and technical specifications


{{Geotechnical engineering Dimensional instruments Forestry tools Surveying instruments de:Neigungssensor