Question

The time taken by a pendulum to complete 20 vibrations is 88.0 second. The time period of the pendulum is

Answer 1

time period of pendulum is

88/20=4.4 seconds

Answer 2

Answer:

The time taken by a pendulum to complete 20 vibrations is 88.0 seconds. The time period of the pendulum is $4.4\ s$

Explanation:

The frequency of oscillations of a vibrating body is the ratio of the number of oscillations of that body per second.

It can be expressed as,

$Frequency\ (f) = \frac{Number\ of\ oscillations\ (N)}{Time\ (t)}$     ...(1)

The time required to complete one oscillation is known as the time period or the inverse of the frequency is the time period of the oscillating body.  

That is,

$Time\ period\ (T)= \frac{1}{f}$      ...(2)

In the question, it is given that,

$N = 20$

$t = 88.0\ s$

Substituting these values into equation (1) and equation (2)

$f = \frac{20}{88} = 0.22727\ Hz$

Now,

$T = \frac{1}{0.22727} = 4.4\ s$