Respuesta :

Answer:

The time period = [tex]\frac{\pi}{2}[/tex]

Explanation:

Let's assume a pendulum of length l and time period T.

Then the equation for the time period, T = [tex]2\pi \sqrt{\frac{l}{g} }[/tex]

Here g = acceleration due to gravity = 9.8 m/[tex]s^{2}[/tex]

Here we are given a simple pendulum of length 2.45 m.

Substitute this value of length in the given equation,

T =  [tex]2\pi \sqrt{\frac{l}{g} }[/tex]

  =  [tex]2\pi \sqrt{\frac{2.45}{9.8}}[/tex]

  = [tex]\frac{\pi }{2}[/tex]

Hence the time period = [tex]\frac{\pi}{2}[/tex]