A pendulum covers 10 oscillations in 15 minutes. What is its time period?
Answers
Answer:
Simple Pendulum is a very small heavy metal bob suspended at a point from a firmly fixed support using a single strand thread so that it oscillates freely. The distance between the point of suspension and centre of bob is called the length of the pendulum.
One oscillation: One complete to and fro motion of the oscillating body is called one oscillation.
Frequency: It is the number of oscillations made by the body in one second.
Time Period: It is the time taken by a body to complete one oscillation.
Hence, the Frequency and Time period are calculated as follows.
Time period = Time taken by the pendulum/Number of oscillations made by the pendulum.
10
20
=2s
Frequency =1/Period
2
1
=0.5Hz
Hence, the Time period and frequency are 2 seconds and 0.5 Hertz respectively.
Answer:
When a simple pendulum makes 10 oscillations in 20 seconds, the time taken for each oscillation = 20/10 = 2 seconds.
Hence, as the time period is calculated to be 2 seconds, the frequency of oscillation = 1/T = 1/2 = 0.5 Hertz.
Therefore, the frequency of that pendulum is
found to be 0.5 Hz.