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

120 m

Step-by-step explanation:

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

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