A machine wheel spins at a rate of 500 revolutions per minute. If the wheel has a diameter of 80 centimeters, what is the angular speed of the wheel, in radians per second? Round your answer to the nearest hundredth.
![A machine wheel spins at a rate of 500 revolutions per minute If the wheel has a diameter of 80 centimeters what is the angular speed of the wheel in radians pe class=](https://us-static.z-dn.net/files/d1b/43d1d44807b02b85a63cc02662383306.png)
Answer: 3,140 radians per minute.
Step-by-step explanation:
We know that the wheel does 500 revolutions per minute.
This is called the frequency of the wheel, and this is written as:
f = 500 rev/min = 500 RPM
The angular speed (or Angular velocity) is written as
ω = 2*pi*f
And this quantity is in radians/unit of time.
where pi = 3.14
then:
ω = 2*3.14*500 (rev/min)*(rad/rev) = 3,140 rad/min
This means that the angular velocity (or angular speed) is 3,140 radians per minute.
Answer:
The answer is 52.36
Step-by-step explanation:
got it right on edge ;)