Question

the time period of a second's pendulum 2.s what is the length of pendulum​

Answer 1

Given:

The time period of pendulum is 2s.

To find:

The length of the pendulum.

Solution:

The time period of pendulum is, $T = 2\pi \sqrt{\frac{l}{g} }$.

l = length of pendulum

g = acceleration due to gravity

Substitute 2 for the T in the above equation.

$2 = 2\pi \sqrt{\frac{l}{9.8} }\\\frac{1}{\pi} = \sqrt{\frac{l}{9.8} }\\\frac{1}{\pi}^{2} = \frac{l}{9.8}\\l = \frac{1}{\pi}^{2} \times9.8$

The value of length of pendulum is, 99.3 cm.

Explanation: