Question

A pendulum oscillates 56 times in 7 seconds. Find its
time period and frequency​

Answer 1

A pendulum oscillates 56 times in 7 seconds the time period is 0.125 s and the frequency is 8 Hz.

1. Frequency: The frequency of oscillation is defined as the number of cycles per unit of time.
2. Mathematical representation of frequency : $f=\frac{N}{t}$
3. Time period: The time taken for completing one oscillation is the time period.
4. The time period is the inverse of frequency.
5. Mathematical representation of  time period :$T=\frac{1}{f}$

Step 1: Calculating the frequency

Given: Number of oscillations (N) = 56

                    Total time is taken (t) = 7 s

                                 $Frequency (f)=\frac{56}{7} =8$

Step 2: Calculating the time period

Given:                     Frequency = 8

                              $Time period=\frac{1}{8} =0.125$

Hence, the time period is 0.125 and the frequency is 8 Hz.

Answer 2

Answer:

What is time period?

The time period(T) id defined as the time taken for a pendulum to complete 1 oscillation.

What is frequency?

Frequency(f) is defined as the number of oscillations(N) per unit time(t).

f = N/t = 56/7 = 8/sec

T = 1/f = 1/8 = 0.125 sec

Explanation:

The frequency depends on the number of oscillations by the pendulum is a certain time.

The time period depends on the frequency of the pendulum.