An object oscillates as it moves along the x-axis. Its displacement varies with time according to the equation x=3cos(8pi t + pi/2) where t is in seconds What is the frequency of this motion?

Answer 1

Cosine formula is Acos(B(x-c) +d where so here B=8pi Period equal 2pi/b= 2pi/8pi = 1/4

If the period is 1/4 second the the frequency is its inverse or 4 cps