4. A pendulum oscillates 12 times in 4 seconds.

a. What is the frequency of the pendulum's oscillations?

b. What is the period of the pendulum's oscillations?

Time period and frequency of its oscillation are 3 sec and 0.33 hertz.

Explanation:

A pendulum is used to describe the too and flow motion of it which is caused due to gravity. A bob consisting of less mass suspended from upper surface by pivot and it is the one which swings due to gravity.

Given:

A simple pendulum makes 12 oscillations in 4 seconds.

time period=?

frequency=?

As pendulum makes 12 oscillations in 4 seconds.

The time taken by pendulum for making one oscillation is 12/4 sec = 3 sec.

Time period = 3 sec.

Frequency of the pendulum's oscillations is found by the formula

Frequency = 1/T = 1/3 = 0.33 Hz

∴Time period and frequency of its oscillation are 3 sec and 0.33 hertz.