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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.

Respuesta :

The height of the room is 36 m

Explanation:

The time period of the pendulum  T = 2π[tex]\sqrt{\frac{l}{g} }[/tex]

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

Thus l = [tex]\frac{T^2 g}{4\pi^2 }[/tex]

and l = [tex]\frac{(12)^2 x 10}{4 x 9.8}[/tex] = 36 m approx

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