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 23 s. The acceleration of gravity is 9.81 m/s 2 . How tall is the tower? Answer in units of m

Answer 1

131.3 m

Step-by-step explanation:

Period of pendulum depends on the length of the pendulum. It can be calculated by using the formula:

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

`23s=2\pi\sqrt(l)/(9.81)\\\Rightarrow 3.66* 3.13=√(l)\\\Rightarrow \sqrt l=11.46 \\ \Rightarrow l = 131.3 m`

Thus, tower is 131.3 m tall.