Question

You want to estimate the height of a cathedral ceiling. You note that a pendulum extending from the ceiling almost touches the floor and tat its pwriod is 12.0s. How tall is the room.

Answer 1

The height of the room is 36 m

Explanation:

The time period of the pendulum  T = 2π$\sqrt{\frac{l}{g} }$

here l is the length of pendulum and g is the acceleration of gravity

Thus l = $\frac{T^2 g}{4\pi^2 }$

and l = $\frac{(12)^2 x 10}{4 x 9.8}$ = 36 m approx