Question

A grand father clock ticks each time the pendulum passes through the lowest point .if the pendulum is modeled as a simple pendulum .hiw long must it be for the ticks to occur once a second?

Answer 1

since clock ticks each time the pendulum passes through the lowest point,

period of pendulum:

$T=2\pi \sqrt{L/g}=2$ s

pendulum length:

$L=\frac{gT^2}{4\pi^2}=\frac{g}{\pi^2}=0.994$ m