A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20m/s2 at a distance of 5 m from the mean position. The time period of oscillation is :
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The time period of oscillation is πs.
The time period of oscillation is πs.
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Answer:
π second
Explanation:
Acceleration of the bob of the pendulum = 20m/s² (Given)
Distance of the bob from mean position = 5m (Given)
Oscillation is the periodic movement at a specified distance from the equilibrium position and repeating itself over and over for a period of time. For example up and down of a spring
The time period of oscillation is πs. Thus,
a = w²x
a = 20w² × 5
w = 2rad/sec
T = 2π/w sec
= π second
Therefore, the time period of oscillation is π second.
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