Angular Impulse From Variable Torque
A torque is applied to a wheel that is initially at rest. The torque varies with time $t$ according to the function $$\tau(t) = (2.0\ \mathrm{N \cdot m/s^2})t^2 - (0.5\ \mathrm{N \cdot m / s})t$$. What is the angular impulse on the wheel during the time interval from $t=0$ to $t=4.0\ \mathrm{s}$?
A
24.00 N·m·s
B
42.67 N·m·s
C
32.00 N·m·s
D
38.67 N·m·s
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