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?
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?
Solution
To find the angular velocity in radians per second, we first need to convert the rotational speed from revolutions per minute (rpm) to radians per second.
Step 1: Convert rpm to revolutions per second 300 rpm = 300 revolutions/60 seconds = 5 revolutions per second
Step 2: Convert revolutions per second to radians per second Since one revolution is equal to 2π radians, we multiply the revolutions per second by 2π to get the angular velocity in radians per second. So, 5 revolutions per second = 5 * 2π radians per second = 10π radians per second.
Therefore, the angular velocity of the car's wheel is 10π radians per second.
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