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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

Respuesta :

Answer: 187.68 m

Explanation:

Given

Time period [tex]T=27.5\ s[/tex]

The time period of a pendulum is given by

[tex]\Rightarrow T=2\pi \sqrt{\dfrac{L}{g}}[/tex]

where L=height of tower

Put values

[tex]\Rightarrow 27.5=2\pi \sqrt{\dfrac{L}{9.8}}\\\\\Rightarrow L=\dfrac{27.5^2\times 9.8}{(2\pi )^2}=187.68\ m[/tex]