calculating angular speed in revolutions per second?

Torque = moment of inertia * angular acceleration.

T = Iα

α = 260.39 rad/s^2

Angular acceleration is like regular acceleration, but with angles. It tells you how fast angular speed is changing, how many more radians the thing rotates through each second.

Each second angular velocity is 260.39 rad/s greater.

Given an initial angular velocity ω0, some final angular velocity ω, and the angle (or number of revolutions) Φ it made between the end and the start, we can write

ω^2 = (ω0)^2 + 2αΦ

In this case I think it's not spinning at the start, so ω0 = 0.

Since 1 revolution = 2pi radians, we turn α to rev/s^2 by dividing with 2pi.

α = 41.44 rev/s^2

Plug into equation

ω^2 = 2αΦ

ω^2 = 2(41.44 rev/s^2)(12.0 rev)

ω = 31.54 rev/s

Multiply with 60.

31.54 rev/s * (60 s)/(1 min) = 1.89×10^3 rev/s