Answer:
The length of the pendulum is 14.13 meters.
Step-by-step explanation:
The length of a pendulum is given by the formula, [tex]T = 2\pi \sqrt{\frac{L}{g} }[/tex], where T is the times period and L is the length of the pendulum.
Now, given that T = 2.4π seconds.
So, from the above equation, we get,
[tex]2.4\pi = 2\pi \sqrt{\frac{L}{g} }[/tex]
⇒ [tex]\sqrt{\frac{L}{g}} = 1.2[/tex]
⇒ [tex]\frac{L}{g} = 1.44[/tex] {We have the value of g as 9.81 m/sec²}
⇒ L = 1.44 × 9.81 = 14.13 meters. (Approx.)
Therefore, the length of the pendulum is 14.13 meters. (Answer)
