Question

A simple pendulum completes 400 oscillations in 5 minutes. Calculate its frequency and the time period?​

Answer 1

Answer:

Explanation:

Given

Number of Oscillations, N=40

Time t=1min

Frequency f=  

t

N

​

=  

60

40

​

=0.667Hz

Time period,T=  

f

1

​

=1.5sec

Hence, frequency is 0.667Hz and time period is 1.5sec

Answer 2

Answer:

Frequency = 7.5Hz

Time Period = 7.5secs

Explanation:

Given,

Number of Oscillations = N =40

Time taken = T = 5 min = (5 x 60)secs = 300 secs

Frequency = F = T/N

​ =  300/40  

= 7.5Hz

Time period = T = F/1  

= 7.5sec

Hence, the frequency is 7.5Hz and the time period is 7.5sec