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A truck with 0.320 m radius tires travels at 39.4 m/s. What is the angular velocity of the rotating tires in revolutions per minute?

A) 250 RPM
B) 500 RPM
C) 750 RPM
D) 1000 RPM

Answer :

Final answer:

The angular velocity of the rotating tires is 123.125 rad/s and 1173.062 rev/min. Therefore, the correct answer is d) 1000 RPM.

Explanation:

To find the angular velocity of the rotating tires, we need to convert the linear velocity of the truck to angular velocity. The formula to calculate angular velocity is angular velocity = linear velocity / radius.

In this case, the radius of the tires is given as 0.320 m and the linear velocity of the truck is given as 39.4 m/s.

Substituting these values into the formula, we get:

angular velocity = 39.4 m/s / 0.320 m = 123.125 rad/s

To convert this angular velocity to revolutions per minute (RPM), we need to multiply it by 60 (since there are 60 seconds in a minute) and divide by 2π (since there are 2π radians in one revolution). Therefore, the angular velocity in rev/min is:

angular velocity (rev/min) = (123.125 rad/s * 60) / (2π) = 1173.062 rev/min

Therefore, the correct answer is d) 1000 RPM.

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Rewritten by : Jeany

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