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NISA [10]
3 years ago
14

A machine wheel spins at a rate of 500 revolutions per minute. If the wheel has a diameter of 80 centimeters, what is the angula

r speed of the wheel, in radians per second? Round your answer to the nearest hundredth.

Mathematics
2 answers:
solmaris [256]3 years ago
8 0

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.

vodomira [7]3 years ago
7 0

Answer:

The answer is 52.36

Step-by-step explanation:

got it right on edge ;)

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