Question

A simple pendulum makes 120 complete oscillations in 3.00 min at a location where g 5 9.80 m/s2. Find (a) the period of the pendulum and (b) its length.

Answer 1

Answer:

(a) 1.5 second

(b) 0.56 m

Explanation:

Pendulum makes 120 oscillations in 3 min that means in 180 seconds

time taken by the pendulum to complete one oscillation is called time period.

(a) So, the time period is 180 / 120 = 1.5 second

T = 1.5 second

Thus, the time period of the pendulum is 1.5 second.

(b) g = 9.8 m/s^2

The formula for the time period is given by

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

Where, L be the length of pendulum

$1.5 =2\times 3.14 \sqrt{\frac{L}{9.8}}$

$0.057= {\frac{L}{9.8}}$

L = 0.56 m

Thus, the length of the pendulum is 0.56 m .