A mass on a spring vibrates in simple harmonic motion at a frequency of 4.0 Hz and an amplitude of 4.0 cm. If a timer is started when its displacement is a maximum (hence x = 4 cm when t = 0), what is the speed of the mass when t = 3 s?

Question

Physics

Derick Short

19 September, 20:35

A mass on a spring vibrates in simple harmonic motion at a frequency of 4.0 Hz and an amplitude of 4.0 cm. If a timer is started when its displacement is a maximum (hence x = 4 cm when t = 0), what is the speed of the mass when t = 3 s?

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Answers (1)

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Johnny Burke · Answer 1

Answer: w = 0.0133m/s

Explanation:

Parameter given

X2 = 4cm T2 = 3secs T1=0 X1=0

Angular speed (w) = Change in displacement / change in time

X2 = (4/100) m

= 0.04m

Angular speed (w) = {0.04 - 0}: {3 - 0}

= 0.04/3

= 0.0133m/s