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.
Answer :
Final answer:
The angular speed of the machine wheel, in radians per second, is 16.66.
Explanation:
To find the angular speed of the wheel in radians per second, we need to convert the revolutions per minute to radians per second. To do this, we can use the conversion factor of 2π radians per revolution. Given that the wheel has a diameter of 80 centimeters, we can find the radius by dividing the diameter by 2. The formula to calculate the angular speed is angular speed = (revolutions per minute) x (2π radians per revolution) x (1 minute per 60 seconds).
Given that the wheel spins at a rate of 500 revolutions per minute, the angular speed can be calculated as follows:
Angular speed = 500 revolutions per minute x 2π radians per revolution x 1 minute per 60 seconds
Angular speed = 500 x 2π/60 radians per second
Angular speed = 16.66 radians per second (rounded to the nearest hundredth)
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Answer:
The answer is 52.36
Step-by-step explanation:
got it right on edge ;)
