Question

an objects motion is describe by the equation d=3sin(8pi t)-2. the displacement d is measured in meter. the time t is measured in seconds.

a. what is the object position (in meter)at t=0?
b. what is the object maximum displacement(in meter) from its t=0 position?
c. how much time(in sec) is required for one oscillation
d. what is the frequency(measured in Hz) of this oscillation

Answer 1

in this equation \[\omega=8\pi\]
a) d=0
b)3
c)\[\theta=\omega t\] for 1 oscilation t=T & theta=2pi so it yields T
d)\[\omega=2\pi \nu\]