A 0.57-kg mass is suspended from a string, forming a pendulum. The period of thi

Question

A 0.57-kg mass is suspended from a string, forming a pendulum. The period of this pendulum is 9.4 s when the amplitude is 1.8 cm. The mass of the pendulum is now reduced to 0.26 kg. What is the period of oscillation now, when the amplitude is 2.4 cm? A 0.57-kg mass is suspended from a string, forming a pendulum. The period of this pendulum is 9.4 s when the amplitude is 1.8 cm. The mass of the pendulum is now reduced to 0.26 kg. What is the period of oscillation now, when the amplitude is 2.4 cm?

Explanation / Answer

Period of a pendulum is given by:

T = 2*pi*sqrt (L/g)

L = length of the pendulum

g = gravitational acceleration = 9.81 m/sec^2

So we can see that period of pendulum only depends on length of pendulum. And not on Amplitude or mass suspended.

Since in above given scenario length of pendulum is fixed, So period will be same both cases.

New Period = 9.4 sec

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