Posted by **sophie** on Friday, May 29, 2009 at 7:43pm.

The paddle wheel of a boat measures 16 feet in diameter and is revolving at a rate of 20 rpm. The maximum depth of the paddle wheel under water is 1 foot. Suppose a point is located at the lowest point of the wheel at t=0.

1. Write a cosine function with phase shift 0 for height above water of the initial point after t seconds.

a. h=8cos((2π)/2 t)+7

b. h=-8cos3t+7

c. h=-8cos((2π)/3 t)+7

d. h=8cos3t+7

I think this is C?

2. use your function to find the height of the initial point after 5.5 seconds.

a. 7.5 ft

b. 11 ft

c. 10.4 ft

d. 6.5 ft

- Math -
**bobpursley**, Friday, May 29, 2009 at 8:02pm
The period is clearly 60/20 seconds, or 3 seconds.

the cosine function should be of the form

cos(2PI/period* t)

C. is correct.

- Math -
**sophie**, Friday, May 29, 2009 at 8:26pm
so would 2. be C as well?

## Answer this Question

## Related Questions

- Pre-Calculus - The paddle wheel of a boat measures 16 feet in diameter and is ...
- Pre-Calculus - The paddle wheel of a boat measures 16 feet in diameter and is ...
- Pre-Calculus - The paddle wheel of a boat measures 16 feet in diameter and is ...
- Pre-Calculus - The paddle wheel of a boat measures 16 feet in diameter and is ...
- Math Grade 12 - The paddle wheel of a boat measures 16 feet in diameter and is ...
- Physics - A 500.0 kg object is attached by a rope through a pulley to a paddle-...
- Math - Suppose that a water wheel has a radius of 22 feet and makes a complete ...
- Geometry - A 3-foot diameter wheel travels at a rate of 45 feet per second. How ...
- Math - Shirley is on a ferris wheel which spins at the rate of 3.2 revolutions ...
- physics - A copper container of mass 100g contains 500g of water. A steel paddle...