SOLUTION: A circular plate is 15 inches in diameter. It is mounted on a motor that spins between 100 and 175 revolutions per minute. a) find the angular speed for each of the 100 and 175 r

Question 1136436: A circular plate is 15 inches in diameter. It is mounted on a motor that spins between 100 and 175 revolutions per minute.
a) find the angular speed for each of the 100 and 175 rev./min.
b) find the linear speed in units of inches per second for each of the 100 and 175 rev./min.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
angular speed at 100 revolutions per minute is 200pi radians/min.; for 175 rpm, it is 350pi radians/min.
linear speed is pi*d=15 pi per revolution.
So at 100 rpm, speed is 200pi radians or 1500 pi inches/minute
Another way is that each revolution in 15pi inches and 100 of them is 1500 pi inches/minute
At 175 rpm, this would be 2625 inches/minute
RELATED QUESTIONS
Assuming that a table saw blade has a diameter of 12 inches and spins at 3450 revolutions (answered by Alan3354)

Assuming that a table saw blade has a diameter of 10 inches and spins at 3450 revolutions (answered by lwsshak3)

A flight simulator rotates to represent G-force on the body. If it spins at {{{ 80 }}}... (answered by stanbon)

Assuming that a table saw blade has a diameter of 12 inches and spins at 3450 revolutions (answered by Alan3354)

An ant stands at the edge of a potter's wheel with a diameter of 12 inches. The wheel... (answered by Alan3354)

If a wheel is 30 inches in diameter and it spins 10 times how far did it go? (answered by ankor@dixie-net.com)

The diameter of each wheel of a bicycle is 27 inches. If you are traveling at a speed of (answered by Boreal)

A Blu-Ray disc is approximately 12 centimeters in diameter. The drive motor of the Blu... (answered by stanbon,josmiceli)

A CD player spins at about 200 revolutions per minute. Through what angle does a point on (answered by Alan3354)