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An air-track glider attached to a spring oscillates between the 13.0 cm mark and the 63.0 cm mark on the track. The glider completes 15.0 oscillations in 32.0 s . What are the (a) period, (b) frequency, (c) amplitude, and (d) maximum speed of the glider?

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Answer:

(A) = 2.13 s

(B) = 0.47 Hz

(C) = 0.25 m

(D) = 0.74 m/s

Explanation:

number of oscillations (n) = 15

time (t) = 32 secs

start point (L1) = 13 cm = 0.13 m

End point (L2) = 63 cm = 0.63 m

(A) period = time / number of oscillation

           = 32 / 15 = 2.13 s

(B) frequency = 1 / period

              = 1 / 2.13 = 0.47 Hz

(C) Amplitude = 0.5 ( L2 - L1 )

                           = 0.5 ( 0.63 - 0.13 )

                          = 0.25 m

(D) max speed = (2π / T) x A

                        =  (2π / 2.13) x 0.25

                       = 0.74 m/s

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