The displacement x (in metres) of a particle is simple harmonic motion is related to time t (in seconds) as x = 0.01cos(πt+π4) What is the frequency of the motion?
A
0.5 Hz
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B
1.0 Hz
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C
π2HZ
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D
πHZ
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Solution
The correct option is A0.5 Hz The coefficient of time t in the argument of the cosine function gives the angular frequency ω of the motion.
Hence ω=πor2πv=πorv=12=0.5HZ
Hence the correct choice is (a)