Question

A simple pendulum with a period of 2 seconds can be used as a chronograph to measure time with great accuracy. A platinum wire attached to the bob completes the electric timing circuit through a drop of mercury as it swings though the lowest point. a. What should be the length, L, of the pendulum

Answer 1

0.994 m

Step-by-step explanation:

For a simple pendulum, the period of oscillation is given by

`T=2\pi(√(L))/(g)`

wher L is its length and g s the acceleration due to gravity.

Rearranging the formula,

`L=\left g((T)/(2\pi)\right)^2`

T = 2

Take g = 9.81

`L=\left 9.81((2)/(2\pi)\right)^2`

`L=\left 9.81((1)/(\pi)\right)^2=0.994`