An air-track glider attached to a spring oscillates between the 15.0 {\ m cm} ma

Question

An air-track glider attached to a spring oscillates between the 15.0 { m cm} mark and the 60.0 { m cm} mark on the track. The glider completes 12.0 oscillations in 36.0 { m 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=??? in s

Part B -
Express your answer using two significant figures.
f=??? in Hz

Part C -
Express your answer using two significant figures.
A=??? in cm

Part D -
Express your answer using two significant figures.
Vmax=??? cm/s

Explanation / Answer

a) period = time taken to complete 1 oscillation
= 36/12 =3sec = 3.00

b)Frequency = number of oscillation per sec = 12/36 = 1/3 = 0.33 Hz

c)Amplitude = Distance between the two extreme/2 = 60-15/2= 22.50cm

d) maximum speed = A*

A= 22.50cm

= frequency *2* = .33*2* =2.073

maximum velocity = 22.50*2.07 =46.65cm/sec

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