# Pre-Calculus

posted by .

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 the height above water at the initial point after t seconds

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

3) and find the values of x for which the equation sin x= -1 is true.

Thanks for any assistance

• Pre-Calculus -

w = angular rate = 20*2pi/60 = 2pi/3 radians/sec
r = 16/2 = 8 feet
height of point above axle of wheel = -8cos wt
height of point above water = h = 7 - 8 cos wt
since w = 2 pi/3
h = 7 - 8 cos (2 pi t /3)
if t = 5.5
h = 7 - 8 cos (11 pi/3)
= -.839 ft
I do not understand what 3) has to do with this.
sin anything is -1 for 3pi/2, 3pi/2 + n*2pi

## Similar Questions

1. ### Pre-Calculus

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 …
2. ### Pre-Calculus

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 …
3. ### Pre-Calculus

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 …

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 …
5. ### Math

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 …
6. ### Physics

A 41.0 cm diameter wheel accelerates uniformly from 86.0 rpm to 342.0 rpm in 3.4 s. How far (in meters) will a point on the edge of the wheel have traveled in this time?
7. ### Physics

A 41.0 cm diameter wheel accelerates uniformly from 86.0 rpm to 342.0 rpm in 3.4 s. How far (in meters) will a point on the edge of the wheel have traveled in this time?
8. ### Physics

A 500.0 kg object is attached by a rope through a pulley to a paddle-wheel shaft that is placed in a well-insulated tank holding 25.0 kg of water. The object is allowed to fall, causing the paddle wheel to rotate, churning the water. …
9. ### Physics

A wheel 32.6 cm in diameter accelerates uniformly from 247 rpm to 378 rpm in 6.54 s. How far will a point on the edge of the wheel have traveled in this time
10. ### Trigonometry

A point on the rim of a wheel of unknown radius in a pulley system has a velocity of 16 in/min. The wheel is making 4 rpm. If the radius of the other wheel is 8 inches, find the 8" wheel's rpms and the unknown wheel's radius. I got …

More Similar Questions