   Chapter 8, Problem 61P

Chapter
Section
Textbook Problem

A metal hoop lies on a horizontal table, free to rotate about a fixed vertical axis through its center while a constant tangential force applied to its edge exerts a torque of magnitude 1.25 × 10−2 N · m for 2.00 s. (a) Calculate the magnitude of the hoop’s change in angular momentum, (b) Find the change in the hoop’s angular speed if its mass and radius are 0.250 kg and 0.100 m, respectively.

(a)

To determine
The magnitude of change in angular momentum of a hoop.

Explanation

Given info: The magnitude of torque is 1.25×10×102Nm and the duration of the torque is 2.00s .

Explanation:

The formula for the magnitude of change in angular momentum is,

ΔL=τ(Δt)

• τ is torque of the loop.
• Δt is the duration of the torque of the hoop.

Substitute 1.25×102Nm for τ and 2.00s for Δt to find ΔL .

ΔL=(1

(b)

To determine
The change in the hoop’s angular speed.

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