Question

A man enters a tall tower, needing to know its height. He notes that a long pendulum extends from the ceiling almost to the floor and that its period is 27.5 s. (a) How tall is the tower

Answer 1

Answer: 187.68 m

Explanation:

Given

Time period $T=27.5\ s$

The time period of a pendulum is given by

$\Rightarrow T=2\pi \sqrt{\dfrac{L}{g}}$

where L=height of tower

Put values

$\Rightarrow 27.5=2\pi \sqrt{\dfrac{L}{9.8}}\\\\\Rightarrow L=\dfrac{27.5^2\times 9.8}{(2\pi )^2}=187.68\ m$