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

Step-by-step explanation:

Given

Time period
`T=27.5\ s`

The time period of a pendulum is given by

`\Rightarrow T=2\pi \sqrt{(L)/(g)}`

where L=height of tower

Put values

`\Rightarrow 27.5=2\pi \sqrt{(L)/(9.8)}\\\\\Rightarrow L=(27.5^2* 9.8)/((2\pi )^2)=187.68\ m`