Question

Solve:
to
A simple pendulum takes 40 seconds
complete 12 oscillations. find its time period and frequency .
​

Answer 1

Answer:

0.10

Explanation:

Frequency equals the number of waves that passes a given point per second or the number of oscillations of a vibrating body per second or number of cycles per second.

In this case, A pendulum has a frequency 40 in 4 seconds. Therefore, the frequency of the pendulum in one second is given as f=

timetaken

Noofcycles

=

4

40

=10Hz.

Time period of the wave is defined as the reciprocal of the frequency of the wave.

That is, T=

f

1

=

10

1

=0.1second.

Hence, the frequency and time period of the pendulum are 10 Hz and 0.1 second respectively.

Answer 2

Answer:

Time period = no. of oscillations / time taken = 12/40 = 0.3 seconds per oscillation

Frequency= time taken/ no. of oscillations= 40/12= 3Hz (approx.)