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An air-track glider attached to a spring oscillates between the 15.0 cm mark and the 57.0...

An air-track glider attached to a spring oscillates between the 15.0 cm mark and the 57.0 cm mark on the track. The glider completes 15.0 oscillations in 34.0 s . What are the (a) period, (b) frequency, (c) amplitude, and (d) maximum speed of the glider?

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Answer #1

Position of one end of the oscillation = X1 = 15 cm

Position of the other end of the oscillation = X2 = 57 cm

Amplitude of the oscillation = A

A = 21 cm

A = 0.21 m

The glider completes 15 oscillations in 34 sec.

Time period for one oscillation = T = 34/15 sec = 2.267 sec

Frequency of oscillation = f

f = 0.441 Hz

Angular frequency of oscillation =

= 2.772 rad/s

Maximum speed of the glider = Vmax

Vmax = A

Vmax = (0.21)(2.772)

Vmax = 0.582 m/s

a) Period of the oscillation = 2.267 sec

b) Frequency of the oscillation = 0.441 Hz

c) Amplitude of the oscillation = 0.21 m

d) Maximum speed of the glider = 0.582 m/s

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