Answer :
Final answer:
The angular speed of an object completing 6.00 revolutions every 12.0 seconds is π rad/s. This was calculated by converting revolutions into radians (where 1 revolution equals 2π radians), and then dividing it by the time taken for these revolutions.
Explanation:
The object in question completes 6.00 revolutions every 12.0 seconds. To find out the angular speed in rad/s, we first need to convert revolutions into radians since 1 revolution equals 2π radians.
Therefore, the object completes 6.00*2π = 12π radians every 12.0 seconds. By dividing the radians (12π) by time (12.0 seconds), we can find the angular speed. In doing so, we see that the object's angular speed is π rad/s.
In conclusion, an object that completes 6.00 revolutions in 12.0 seconds has an angular speed of π rad/s. It's important to understand this conversion process from revolutions to radians, especially when dealing with questions about angular velocity or speed.
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