Is Kater pendulum a simple pendulum?
The Kater’s pendulum consists of a rigid metal bar with two pivot points, one near each end of the bar. At this point the period T is equal to the period of an ‘ideal’ simple pendulum of length equal to the distance between the pivots.
What is the principle of katers pendulum?
According to the principle of KAter’s pendulum, when the pendulum is suspended upside down from the centre of its oscillation, the period of the swing remains unchanged and the new oscillation centre is the old pivot point.
What is meant by Kater’s pendulum?
: a compound pendulum with adjustable knife edges placed respectively at the center of suspension and near the center of oscillation and used to determine acceleration of gravity by means of the period of oscillation.
Who invented Kater’s pendulum?
captain Henry Kater
The Kater reversible free swinging pendulum was invented in 1817 by British physicist and army captain Henry Kater, and used to measure the local acceleration of gravity.
Why katers pendulum is reversible?
A reversible pendulum is a special design of a normal physical pendulum. The reduction in the length of the pendulum then matches the distance between the two mounting points. This makes it easier to determine the local acceleration due to gravity from the period of oscillation and the reduced pendulum length.
Which pendulum is more accurate?
All these factors contribute to the uncertainty in the determining the length of the pendulum in a simple pendulum. In a compound pendulum the point of suspension and point of oscillation are knife edges so are more precisely defined.
What is difference between compound pendulum and Kater’s pendulum?
description. A compound pendulum has an extended mass, like a swinging bar, and is free to oscillate about a horizontal axis. A special reversible compound pendulum called Kater’s pendulum is designed to measure the value of g, the acceleration of gravity.
How do you find the time period of a katers pendulum?
Suspend the pendulum about the knife edge 1 and take the time for about 10 oscillations. Note down the time t1 using a stopwatch and calculate its time period using equation T1=t1/10.
How do you find Centre of mass of Kater’s pendulum?
The centre of mass G can be located by balancing the pendulum on an external knife edge. Due to the difference in mass between the metal and wooden weights W1 and W2, G is not at the centre of the rod, and the distances h1 and h2 from G to the suspension points O1 and O2 at the knife edges K1 and K2 are not equal.
Where on Earth would Foucault’s pendulum appear to not be moving Why?
equator
Because of this, the amount of time that it takes for the pendulum to make one full rotation (with respect to its surroundings) is equal to one sidereal day (23.93 hours) divided by the sine of the latitude of its location. Since sin(0)=0, the plane of a pendulum located at the equator will not appear to move at all.
How big is the pendulum of Kater’s pendulum?
Kater’s pendulum, shown in Fig. 1, is a physical pendulum composed of a metal rod 1.20 m in length, upon which are mounted a sliding metal weight W 1, a sliding wooden weight W 2, a small sliding metal cylinder w, and two sliding knife edges K 1 and K 2 that face each other. Each of the sliding objects can be clamped in place on the rod.
Why is G not at the centre of the pendulum?
Due to the difference in mass between the metal and wooden weights W 1 and W 2, G is not at the centre of the rod, and the distances h 1 and h 2 from G to the suspension points O 1 and O 2 at the knife edges K 1 and K 2 are not equal. Fine adjustments in the position of G, and thus in h 1 and h 2, can be made by moving the small metal cylinder w.
What’s the function of W 2 on a pendulum?
The wooden weight W 2 is the same size and shape as the metal weight W 1. Its function is to provide as near equal air resistance to swinging as possible in either suspension, which happens if W 1 and W 2, and separately K 1 and K 2, are constrained to be equidistant from the ends of the metal rod.
How to find the centre of mass of a pendulum?
The centre of mass G can be located by balancing the pendulum on an external knife edge. Due to the difference in mass between the metal and wooden weights W 1 and W 2, G is not at the centre of the rod, and the distances h 1 and h 2 from G to the suspension points O 1 and O 2 at the knife edges K 1 and K 2 are not equal.