Question

A pendulum oscillate 6000 times in 2 minutes find its time period and frequency

Answer 1

Given:

Number of Oscillations: 6000

Total Time Taken: 2

Frequency: ?

Time Period: ?

Frequency: Number of oscillations per second is defined as Frequency

Frequency = Number of Oscillations ÷  Time Taken

Frequency =  6000/2

Frequency = 3000 Hz

∴ The Frequency is 3000 Hertz.

Time Period: Time taken to complete one oscillation is called time period.

Time Period = Total Time ÷ Number of Oscillations

Time Period =  2/ 6000

Time Period = 1/3000

Time Period  = 0.00033 Seconds.

∴ Time Period is 0.00033 Seconds.

Answer 2

Given : A pendulum oscillates 6000 times in 2 seconds.

　

To find : What is its time period and frequency?

　

Using formula :

1) Frequency = Number of times the pendulum oscillates/Total number of time taken.

　

2) Time period = Number of oscillation per second/Frequency.

　

Calculations :

→ Frequency = 6000/2

→ Frequency = 3000 hertz

　

→ Time period = 1/3000

→ Time period = 0.000333333333 seconds

　

Therefore,

1. Frequency = 3000 hertz.
2. Time period = 0.000333333333 seconds.