An air-track glider attached to a spring oscillates between the 10.0 cm mark and

Question

An air-track glider attached to a spring oscillates between the 10.0 cm mark and the 57.0 cm mark on the track. The glider completes 15.0 oscillations in 31.0 s.

What are the (a) period, (b) frequency, (c) amplitude, and (d) maximum speed of the glider?

Part A -
Express your answer using two significant figures.
T = _________s

Part B -
Express your answer using two significant figures.
f = _________Hz

Part C -
Express your answer using two significant figures.
A = _________cm

Part D -
Express your answer using two significant figures.
vmax = _________cm/s

Explanation / Answer

The limits that the spring makes the oscillations are from 10 cm to 57 cm So, total distance moving, d = 57 - 10 = 47 cm a) The time taken for 15 oscillations, t = 31 s The time taken for one oscillation, t = 31/15 = 2.07 s So the period of the oscillation, T = 2.07 s b) Frequency, F = 1/T = 0.484 Hz c) The amplitude = The maximum displacement from the mean position                      A = d/2 = 23.5 cm d) = 2/T = 3.03 The velocity is given by the equation, v = A = 23.5 * 3.03 = 71.3 m/s

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