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3 years ago

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You need to know the height of a tower, but darkness obscures the ceiling. You note that a pendulum extending from the ceiling a

lmost 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

1 answer:

Elis [28]3 years ago

4 0

Answer:

131.3 m

Explanation:

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

$T=2\pi\sqrt{\frac{l}{g}}$

$23s=2\pi\sqrt\frac{l}{9.81}\\\Rightarrow 3.66\times 3.13=\sqrt{l}\\\Rightarrow \sqrt l=11.46 \\ \Rightarrow l = 131.3 m$

Thus, tower is 131.3 m tall.

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