Hi, I was wondering if someone could help me with a Advanced functions Trig question that I'm having pr
On a merry-go-round, each horse moves up and down five times in one complete revolution. Imagine that each horse rises and falls 25 cm from its centre position. The up-and-down mothion of each horse can be modelled by the function
h(t) = 25 cos (5Beta) , where h is the horses displacement from its centre and Beta is the rotation angle of the merry-go-round. Assume the ride begins when,
Beta = 0degrees for a given horse.
(Sorry I don't know the signs for Angel Beta, or degrees on the keyboard.)
a) Determine the displacement of one horse at the start of the ride.
b) Ar what rotation angles will the horse be displaced 15 cm in one revolution?
c0 At what rotation angles will the horse be displaced -20cm in one revolution? ( first four angles only.)
d) How long will it take for one complete revolution if the carousel rotates at a speed of 24degrees/s (24 degrees per second.)