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Angular Impulse From Variable Torque
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A variable torque is applied to a wheel initially at rest. The torque varies with time according to $$\tau(t) = (2.0\ \mathrm{N \cdot m/s^2})t^2 - (0.5\ \mathrm{N \cdot m / s})t$$ for 4.0 seconds. What is the angular impulse delivered to the wheel during this time interval?

A

38.67 N·m·s

B

32.00 N·m·s

C

24.00 N·m·s

D

42.67 N·m·s

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