A 3.50-inch floppy disk in a computer rotates with a period of 2.02E-1 s. What is the angular speed of the disk?

Period = 0.202s/rev.

V=(1/0.202)rev/s * 6.28rad/rev=31.1 rad/s.

To find the angular speed of the disk, we can use the formula:

Angular Speed = 2π / Period

Given:
Period (T) = 2.02E-1 s

Using the formula, we can calculate the angular speed:

Angular Speed = 2π / 2.02E-1

Angular Speed = 2π / 0.202

Angular Speed ≈ 31.16 radians per second

To calculate the angular speed of the disk, you need to know the formula for angular speed and the period of rotation.

Angular speed, represented by the symbol ω (omega), is defined as the rate at which an object rotates or moves around a circular path. It is measured in radians per second (rad/s).

The formula to calculate angular speed is:

ω = 2π / T

where:
- ω is the angular speed,
- π (pi) is a mathematical constant approximately equal to 3.14159, and
- T is the period of rotation.

Given that the period T = 2.02E-1 s (0.202 s), we can substitute this value into the formula to calculate the angular speed.

ω = 2π / T
= 2π / 0.202
≈ 9.854 rad/s

Therefore, the angular speed of the disk is approximately 9.854 rad/s.