(a)
ω=2πf,f=2πω=2π40 srad=6.37 Hz.(b)
vp=kω=0.8 m−140 srad=50 sm.(c) The particle velocity can be found as follows:
v=dtdy=−8cos(0.8x−40t).The maximum particle velocity will be when cos(0.8x−40t)=±1. Therefore, the magnitude of the maximum particle velocity equals vmax=8 m/s.
Answer:
(a) f=6.37 Hz.
(b) vp=50 sm.
(c) vmax=8 m/s.
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