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Period, Frequency, Amplitude, and Maximum Speed

1/freqAn air-track glider attached to a spring oscillates between the 15.0 {\rm cm} mark and the 55.0 cm mark on the track. The glider completes 15.0 oscillations in 37.0 {\rm s}.

What are the

(a) period


= 1/.405

= 2.5 seconds

(b) frequency

oscillations / time

= 15/37= .41 Hz

(c) amplitude

amplitude = 1/2 of the difference of oscillation marks

= 1/2(55-15) = 20cm

(d) maximum speed of the glider?

2π x frequency x amplitude = maximum speed

= 2π x .41 x 20

=51 cm/s

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