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

Step-by-step explanation:

The time period of the pendulum T = 2π
`\sqrt{(l)/(g) }`

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

Thus l =
`(T^2 g)/(4\pi^2 )`

and l =
`((12)^2 x 10)/(4 x 9.8)` = 36 m approx