Question

A simple pendulum takes 50s to complete 20 oscillations.Q what is the time period of the pendulum?

Answer 1

time period for 20 oscillations is 50s

so for 1 oscillation = 50/20= 2.5 s

hence time period of pendulum is 2.5 s

Answer 2

Answer:

Concept:

A simple pendulum is a device in which the point mass is hanging from a fixed support and is connected to a light massless thread. The mean location of a simple pendulum is the vertical line running through into the fixed support. The dotted axis between the resting position and the attached body's centre of mass, denoted by L, is the length of the simple pendulum (when it is in mean position). In this form, the pendulum operates based on a resonant system with a certain resonant frequency.

Given:

It takes 50 seconds for a simple pendulum to complete Twenty oscillations.

Find:

what is the time period of the pendulum?

Answer:

The answer is $2.5 s$

The time it taken to finish one oscillation is known as the time period.

Given,

20 oscillations $= 50 s$

    1 oscillation $=\frac{50}{20}$  

                        $= 2.5 sec$

Hence, the time period for oscillation is 2.5 s.

Simply take measurements of the rope from where it is linked to a support to the centre of mass of the bob to build your pendulum as desired.

You can now compute the period using the formula. However, we can simply measure an oscillation (or several, and then divide the duration by the number of oscillations you measured) and compare results to what the formula predicted.

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