A bicycle wheel, at ground level, 8 inches in diameter, makes one revolution every 0.15 seconds. What is the amplitude? What is the period? What is the b value? What is the midline at y?

Answer 1

amplitude = 8/2 = 4= midline if the bicycle is on the ground level

period = 2pi/.15 = 4pi/.3 = 40pi/3

y = h(t) = Asin(B(t+C))+ D

A = Amplitude = 4 inches

D = midline = 4 inches

2pi/B = period = 0.15 seconds

B = 2pi/,15

without more information C probably = 0=phase shift

at time t=0 or t=.15, h(t) = 4 =A = D

or you could model it with cosines, then C would be a phase shift not equal to zero

C= pi/2