# Sinusoidal function

• May 9th 2013, 02:39 PM
darkangel06
Sinusoidal function
Sketch a height versus time graph of the sinusoidal function that models each situation. Draw at least three cycles. Assume that the first point is at the lowest possible height.
1) a water wheel with a. Radius of 3m whose centre is at water level and that rotates once every 40s ?

How am i suppose to make the graph what is the diameter going to be :/
• May 9th 2013, 02:54 PM
jpritch422
Re: Sinusoidal function

The Graphs of Sine and Cosine
• May 9th 2013, 03:23 PM
HallsofIvy
Re: Sinusoidal function
Quote:

Originally Posted by darkangel06
Sketch a height versus time graph of the sinusoidal function that models each situation. Draw at least three cycles. Assume that the first point is at the lowest possible height.
1) a water wheel with a. Radius of 3m whose centre is at water level and that rotates once every 40s ?

How am i suppose to make the graph what is the diameter going to be :/

If the radius of the water wheel is 3 m, then the diameter of the water wheel is 6 m, of course. Was that the diameter you meant?

The problem says you should take the "first point" (which I interpret to mean t= 0) at the lowest point Since the center is a water level and the water wheel has radius 3m, initially the point on the water wheel is 3 m below the water. After 20 seconds, it will be 3 m above the water. Do you see why? When will it be at water level?