A 1.8-kg particle moves in a circle of radius 3.4 m. The magnitude of its angular momentum

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A 1.8-kg particle moves in a circle of radius 3.4 m. The magnitude of its angular momentum relative to the center of the circle depends on time according to L = (4 N ∙ m)t.

(a) Find the magnitude of the torque acting on the particle.

(b) Find the angular speed of the particle as a function of time.

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