A bob is attached to a long, light string. The string is deflected by 3° initially from the vertical. The length is 1 m. The value of θ at time t after release can approximately be written as (use g = π²):
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Question

A bob is attached to a long, light string. The string is deflected by 3° initially from the vertical. The length is 1 m. The value of θ at time t after release can approximately be written as (use g = π²):

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G1 Physics · Accepted Answer

For a simple pendulum, ω=√(g/l). Here l=1 m and g=π², so ω=π rad s⁻¹. It is released from the extreme angle 3°, hence θ(t)=3° cos(πt). Correct answer: A.