P16_009.PDF

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Chapter 16 - 16.9
9. (a) The amplitude is half the range of the displacement, or x m =1 . 0mm.
(b) The maximum speed v m is related to the amplitude x m by v m = ωx m ,where ω is the angular
frequency. Since ω =2 πf ,where f is the frequency,
v m =2 πfx m =2 π (120Hz) 1 . 0
10 3 m =0 . 75 m / s .
(c) The maximum acceleration is
a m = ω 2 x m =(2 πf ) 2 x m =(2 π (120Hz)) 2 1 . 0
×
10 3 m = 570 m / s 2
.
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