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The moment of inertia of a car's wheel is 0.4 kg m². If the wheel is rotating at 300 rpm, what is its angular velocity in radians per second?(1 Point)90.5 rad/s188.5 rad/s94.25 rad/s100 rad/s

Question

The moment of inertia of a car's wheel is 0.4 kg m². If the wheel is rotating at 300 rpm, what is its angular velocity in radians per second?(1 Point)90.5 rad/s188.5 rad/s94.25 rad/s100 rad/s

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Solution

To solve this problem, we first need to convert the rotational speed from revolutions per minute (rpm) to radians per second.

  1. We know that one revolution is equal to 2π radians.
  2. We also know that there are 60 seconds in a minute.

So, to convert 300 rpm to radians per second, we multiply by 2π and then divide by 60.

300 rpm * 2π rad/rev / 60 s/min = 31.42 rad/s

So, the angular velocity of the car's wheel is 31.42 rad/s. This option is not listed in the given choices.

This problem has been solved

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