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Unreasonable ResultsYou are told that a basketball player

Chapter 10, Problem 4

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QUESTION:

Problem 4PE

Unreasonable Results

You are told that a basketball player spins the ball with an angular acceleration of 100 rad/s2 . (a) What is the ball’s final angular velocity if the ball starts from rest and the acceleration lasts 2.00 s? (b) What is unreasonable about the result? (c) Which premises are unreasonable or inconsistent?

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QUESTION:

Problem 4PE

Unreasonable Results

You are told that a basketball player spins the ball with an angular acceleration of 100 rad/s2 . (a) What is the ball’s final angular velocity if the ball starts from rest and the acceleration lasts 2.00 s? (b) What is unreasonable about the result? (c) Which premises are unreasonable or inconsistent?

ANSWER:

Solution 4PE

Step 1 of 5

The angular acceleration with which the player spins the basketball is . Here we need to calculate the ball’s final angular velocity if it starts from rest and the given acceleration is for time . Also, we need to comment on the result about the inconsistency.

Given data,

Angular acceleration,

Initial angular velocity,  (as ball starts from zero)

Time interval,

To find,

Final angular velocity,

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