Question

You need to know the height of a tower, but darkness obscures the ceiling. You note that a pendulum extending from the ceiling almost touches the floor and that its period is 22 s. The acceleration of gravity is 9.81 m/s 2 . How tall is the tower?

Answer 1

Answer:

120 m

Explanation:

We can calculate the period of a pendulum using the following expression.

$T=2\pi \sqrt{\frac{L}{g} }$

where,

T is the period of the pendulum

L is the length of the pendulum (here it coincides with the height of the tower)

g is the gravity

$T=2\pi \sqrt{\frac{L}{g} }\\L=(\frac{T}{2\pi } )^{2} g=(\frac{22s}{2\pi} )^{2} .9.81m/s^{2} =120m$