The rotation rate in radians per second is equal to 3.4562 radians per second.
A conversion factor can be defined as a number that is typically used to convert (change) a number in one (1) set of units to another, either by dividing or multiplying.
Since the flywheel was originally rotating at 33 revolutions per minute (rpm), we would have to determine the rate of rotation in radians per minute by using an conversion factor:
1 rev = 2π radians
33 revs = X radians
Cross-multiplying, we have:
X = 33 × 2 × 3.142
X = 207.372 radians/min
Next, we would convert the rotation rate to radians per second by dividing with 60 seconds:
Rotation rate = 207.372/60
Rotation rate = 3.4562 radians per second.
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