wheel radius=22 means the amplitude is 22. So, y is something like
y = A+22sin(x)
Since the bottom is at y=1, that means
y = 23 + 22sin(x)
Oops. The wheel starts at the top when t=0, so we really have
y = 23 + 22cos(kx)
The period is 14, so
2pi/k = 14
k = pi/7
y = 23 + 22cos(pi/7 x)
Suppose that a water wheel has a radius of 22 feet and makes a complete revolution every 14 seconds. The bottom of the water water wheel is 1 foot above the ground level. One step of the water wheel is painted red to be able to determine the amount of time for one complete revolution. State the function that represent the height of the painted step on the wheel after t seconds. Assume that the painted step is at the top of the wheel when t=0.
period=pi/7
1 answer
1 answer