Torque = I * α
I = ½ * m * r^2 = ½ * 0.2 * 0.125^2 = 0.0015625
As the disk rotates one time, it rotates an angle of 2 π radians.
Total angle = 1600 * 2 π = 3200 * π
One minute is 60 seconds. To determine its initial angular velocity, divide this angle by 60.
ω = 53⅓ * π
This is approximately 167.55 rad/s. To determine the angular acceleration, divide by 4.1 seconds.
α = 53⅓ * π ÷ 4.1
This is approximately 4.09 rad/s^2
Torque = 0.0015625 * (53⅓ * π ÷ 4.1)
This is approximately 0.0639 N * m.
electron1 · 2 years ago
