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A Kater's pendulum is a reversible free swinging pendulum invented by British physicist and army captain Henry Kater in 1817 (made public on 29 January 1818), [1] for use as a gravimeter instrument to measure the local acceleration of gravity.
His first major contribution to science was the comparison of the merits of the Cassegrainian and Gregorian telescopes; Kater determined the latter to be an inferior design. [ 1 ] His most substantial work was the invention of Kater's pendulum , enabling the strength of gravity to be determined, first at London [ 2 ] and subsequently at various ...
In practice, Mathieu functions and the corresponding characteristic numbers can be calculated using pre-packaged software, such as Mathematica, Maple, MATLAB, and SciPy. For small values of q {\displaystyle q} and low order n {\displaystyle n} , they can also be expressed perturbatively as power series of q {\displaystyle q} , which can be ...
For example, an experimental uncertainty analysis of an undergraduate physics lab experiment in which a pendulum can estimate the value of the local gravitational acceleration constant g. The relevant equation [1] for an idealized simple pendulum is, approximately,
Pages for logged out editors learn more. Contributions; Talk; Kater pendulum
Homebrew Cavendish experiment, showing calculation of results and precautions necessary to eliminate wind and electrostatic errors. "Big 'G'", Physics Central, retrieved Dec. 8, 2013. Experiment at Univ. of Washington to measure the gravitational constant using variation of Cavendish method. Eöt-Wash Group, Univ. of Washington.
In a pendulum clock, the crown wheel and staff were oriented horizontally, and the pendulum was hung from the staff. However, the verge is the most inaccurate of the common escapements, and after the pendulum was introduced in the 1650s, the verge began to be replaced by other escapements, being abandoned only by the late 1800s.
The example shows how the Rayleigh's quotient is capable of getting an accurate estimation of the lowest natural frequency. The practice of using the static displacement vector as a trial vector is valid as the static displacement vector tends to resemble the lowest vibration mode.