An object spins with an angular momentum of 8.9 kg⋅m2 /s. A torque on the object causes it to slow to a stop in 5.2 s. What was the angular impulse on the object? What was the average torque on it? Analyze and Sketch the Problem List Knowns and Unknowns Knowns Unknowns Li = Lf = = ? ∆t = = ? SOLVE FOR THE UNKNOWNS a. Determine the angular impulse from the change in angular momentum b. Apply the impulse-momentum theorem to determine the Torque EVALUATE THE ANSWER Is the unit of torque correct? Is the magnitude of the torque realistic?

Explanation:

Li = 8.9 kg m² /s , Lf = 0

Time = Δt = 5.2 s

Angular impulse = change in angular momentum = Li - Lf

= 8.9 - 0 = 8.9 kg.m²/s .

Average torque = angular impulse / time

= 8.9 / 5.2 = 1.711  kg m² / s²

Li = 8.9 kg m² /s , Lf = 0

Δt = 5.2 s

unit of torque = force x distance = mass x acceleration x distance

= kg . m /s² x m

= kg m² / s²

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