A student puts on a Dresden Dolls disc in her cd player which spins at 1800 revolutions per minute. A compact disc has a mass of about 0.016 kg and a radius of 6.0 cm.

a) What is the period of rotation in seconds?

b) What is the frequency of the rotating disc?

c) What is the angular speed of the disc?

d) What is the linear speed of a scratch on the outer edge of the disc?

I will be happy to critique your work.

To answer these questions, we can use some basic formulas related to rotational motion.

a) The period of rotation (T) is the time taken for one full revolution. To find the period, we can use the formula:

T = 1 / f

Where f is the frequency of rotation. To find the period, we need to convert the rotations per minute to rotations per second by dividing by 60.

So, the period of rotation (T) = 1 / (1800 rotations per minute / 60 seconds per minute)

b) The frequency (f) of rotation is the number of rotations per unit time. The formula to find frequency is:

f = 1 / T

Where T is the period of rotation. To find the frequency, we can replace T with the value we obtained in part (a).

So, the frequency of rotation (f) = 1 / T

c) The angular speed (ω) of the disc is the rate of change of angle with respect to time. It is measured in radians per second. We can calculate angular speed using the formula:

ω = 2πf

Where f is the frequency of rotation. We can use the frequency value obtained in part (b) to calculate the angular speed.

So, the angular speed (ω) = 2πf

d) The linear speed (v) of a point on the outer edge of the disc can be calculated using the formula:

v = ωr

Where ω is the angular speed and r is the radius of the disc. We can use the given radius of 6.0 cm and the angular speed obtained in part (c) to calculate the linear speed.

So, the linear speed (v) = ωr

Now let's plug in the values and calculate the answers.