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CGP EDU Academic Team
Published on: September 12, 2026
A simple harmonic motion is represented by F(t)=10 sin(20t+0.5). The amplitude of the S.H.M. is
Text Solution
Verified by ExpertsThe correct answer is:
C
In the equation of simple harmonic motion, the general form is given by:
$$ F(t) = A \sin(\omega t + \phi) $$
where:
- A is the amplitude,
- \omega is the angular frequency,
- \phi is the phase constant.
In the given function, \( F(t) = 10 \sin(20t + 0.5) \), we can identify that the amplitude \( A \) is 10 (the coefficient of the sine function).
Therefore, the amplitude of the S.H.M. is 10.
Hence, the correct answer is a = 10.
$$ F(t) = A \sin(\omega t + \phi) $$
where:
- A is the amplitude,
- \omega is the angular frequency,
- \phi is the phase constant.
In the given function, \( F(t) = 10 \sin(20t + 0.5) \), we can identify that the amplitude \( A \) is 10 (the coefficient of the sine function).
Therefore, the amplitude of the S.H.M. is 10.
Hence, the correct answer is a = 10.
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