A grinding wheel is in the form of a uniform solid disk of radius 7.00cm and mas

Question

A grinding wheel is in the form of a uniform solid disk of radius 7.00cm and mass 2.00 kg. It starts from rest and accelerates uniformly under the action of the constant torque of 0.600 N * m that the motor exerts on the wheel.
a) How long does the wheel take to reach its final operating speed of 1,200 rev/min?
b) Through how many revolutions does it turn while accelerating?

I have the answer to a which is 1.03 secs but I'm stuck on part b. I looked at the solution in the cramster's textbook help section but there is a part in the solution I am confused about. They solved for the final angle position and then multiplied that number by (1rev/6.283rad). Where did the (1rev/6.283rad) come from and what exactly is that number suppose to be?

Explanation / Answer

1 rev has angle in rad units

2 = 6.283 rad

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