Angular Speed of a Radial Saw Blade

What is the angular speed of a radial saw blade with a 6-in radius spinning at 1000 rpm?

a. 2000π rad/min

Answer:

The angular speed of the saw blade is 2000π rad/min.

When a radial saw has a blade with a 6-in radius and spins at 1000 rpm, the angular speed of the blade can be calculated by multiplying the revolutions per minute by 2π to convert to radians. In this case, the angular speed of the saw blade spinning at 1000 rpm would be 2000π radians per minute (rad/min).

The angular speed of an object moving in a circular path is measured in radians per minute. One complete revolution (360 degrees) is equal to 2π radians. Therefore, to find out the angular speed of the saw blade, we multiply the rpm by 2π. This gives us the formula: angular speed = rpm * 2π = 1000 rpm * 2π = 2000π rad/min.

Therefore, the angular speed of a radial saw blade with a 6-in radius spinning at 1000 rpm is 2000π rad/min. This means that the blade rotates around the circle at a rate of 2000π radians per minute.