An air-track glider attached to a spring oscillates between the 14.0cm mark and

Question

An air-track glider attached to a spring oscillates between the 14.0cm mark and the 57.0cm mark on the track. The glider completes 11.0 oscillations in 37.0s . What are the (a) period, (b) frequency, (c) amplitude, and (d) maximum speed of the glider? An air-track glider attached to a spring oscillates between the 14.0cm mark and the 57.0cm mark on the track. The glider completes 11.0 oscillations in 37.0s . What are the (a) period, (b) frequency, (c) amplitude, and (d) maximum speed of the glider?

Explanation / Answer

(a)

peiod of glider is

T = 37 s/ 11 = 3.36 s

(b)

frequency of the glider is

f = 1/T = 1/ 3.36 s = 0.297 Hz

(c)

amplitude of the glider is

A = 57 cm - 14 cm = 43 cm

(d) maximum speed of the glider is

v_max = wA = 2 pi f A = 2pi ( 0.297 Hz) (0.43 m) = 0.80 m/s

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