Chapter 6.4, Problem 30PE

A laboratory centrifuge is a piece of equipment that spins blood samples at a high speed to separate substances within the blood of greater or lesser density. Suppose that a test tube is placed at a point $10\text{ cm}$ to the right of the center of rotation and that the centrifuge spins at $3600\text{ rpm}$ counterclockwise,

a. How many revolutions does the centrifuge make per second?

b. Write a model representing the horizontal position $x$ (in centimeters) of the test tube relative to the center of the centrifuge at time $t$ (in seconds),

c. Write a model representing the vertical position $y$ (in centimeters) of the test tube relative to the center of the centrifuge at time $t$ (in seconds).