Question

The floppy disk drive (FDD) was invented in 1967 to store information for computer users. One model used an 8-inch disk and had a radius of 3.98 inches. The drive motor would spin at 600 rotations per minute RPM)

a. Find the angular speed of the 8-inch disk in radians per second.

Answer 1

The angular speed of an 8-inch floppy disk spinning at 600 rotations per minute (RPM) is 10π radians per second, after converting RPM to radians per second using the formula (RPM × 2π) / 60.

Step-by-step explanation:

The question asks us to find the angular speed in radians per second of an 8-inch floppy disk that rotates at 600 rotations per minute (RPM). To convert RPM to radians per second, we need to use the conversion that there are 2π radians in one rotation and 60 seconds in one minute.

The formula to convert RPM to radians per second is:

Angular Speed in radians/second = (RPM × 2π) / 60 seconds

Substituting the given RPM value into the formula, we have:

Angular Speed in radians/second = (600 × 2π) / 60

This simplifies to:

Angular Speed in radians/second = 10π radians/second

Therefore, the angular speed of the 8-inch disk is 10π radians per second.