Suppose a piece of dust finds itself on a CD. If the spin rate of the CD is 500 rpm, and the piece of dust is 4.3 cm from the center, what is the total distance traveled by the dust in 3 minutes? (Ignore accelerations due to getting the CD rotating.)

A gyroscope slows from an initial rate of 32.0 rad/s at a rate of 0.700 rad/s$^2$ . (a) How long does it take to come to rest? (b) How many revolutions does it make before stopping?

Describe the advantages and applications of having a hollow spindle in the headstock of a lathe.

The disk rotates with a spin velocity of 15 rad/s about its horizontal z-axis first in the direction (a) and second in the direction (b). The assembly rotates with the velocity N = 10 rad/s about the vertical axis. Construct the space and body cones for each case.

Six per cent, on average, of manufactured spindles are outside stated tolerances. The spindles are randomly packed in boxes of 50 and dispatched in cartons of 100 boxes. For any one carton, determine the number of boxes likely to contain 0, 1, 2, 3, 4, 5-or-more defectives.

The spinner is numbered from one to eight. Find the probability.

The spinner lands on a number less than 6, given that the spinner does not land on 1 or 2.

When a CD player reads information from the outer edge of a CD, the CD spins about 200 revolutions per minute. At that speed, through what angle does a point on the CD spin in one minute? Give the answer in both degrees and radians.

The spinner is numbered from one to eight. Find the probability.

The spinner does not land on 3, given that the spinner lands on an odd number.

Think about other examples in which objects travel in curved paths, such as the clothes in a spin dryer, or the Moon traveling around Earth. For each example, explain what produces the force that is constantly being applied to the object toward the center of the curve.

A gyroscope slows from an initial rate of 32.0 rad/s at a rate of 0.700 rad/s². How long does it take to come to rest?

Lisa and Alice are playing a game. Each player either receives or has to pay play money based on the result of their spin. The table lists how much a player receives or pays for various spins.

$$\begin{array}{| l | l |} \text{Red} & \text{Pay $\$$5}\\ \text{Blue} & \text{Receive $\$$4}\\ \text{Yellow} & \text{Pay $\$$1}\\ \text{Green} & \text{Receive $\$$3}\\ \text{Orange} & \text{Pay $\$$2}\\ \end{array}$$

a. Express the amounts in the table as positive and negative numbers.

b. Describe the change to Lisa's amount of money when the spinner lands on red.

A coin is placed a distance $R$ from the center of a phonograph turntable. The coefficient of static friction is $\mu_s$. The angular spin of the turntable is slowly increased. When it reaches $\omega_0$, the coin is on the verge of sliding off. Find $\omega_0$ in terms of $\mu_s, R$, and $g$.

How are spinal neurons arranged in the spinal peripheral nervous system?

"A circle is divided into 16 parts to create a spinner. Find the probability of the given event.

(a) The spinner stops on red.

(b) The spinner stops on an even number.

(c) The spinner stops on red or an even number."