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Chapter 16 - 16.7

7. (a) The angular frequency ω is given by ω =2 πf =2 π/T ,where f is the frequency and T is the

period. The relationship f =1 /T was used to obtain the last form. Thus ω =2 π/ (1 . 00

10 − 5 s) =

10 5 rad / s.

(b) The maximum speed v m and maximum displacement x m are related by v m = ωx m ,so

x m = v m

1 . 00

10 5 rad / s =1 . 59

10 3 m / s

10 − 3 m .

6 . 28