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10th Edition

Ron Larson + 1 other

ISBN: 9781285057095

Textbook Problem

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Centripetal Acceleration An object is spinning at a constant speed on the end of a string, according to the position vector

(a) When the angular speed

(b) When the angular speed is unchanged but the length of the string is halved, how is the centripetal component of acceleration changed?

**(a)**

To determine

**To calculate:** The change in the centripetal acceleration with the change in angular speed for when __angular speed is doubled for the position vector__

Explanation

**Formula used:**

And,

**Calculation:**

Use the provided position vector, then calculate the velocity and the acceleration vectors as:

Then,

And,

The tangential and normal component of velocity are calculated as:

**(b)**

To determine

**To calculate:** The change in the centripetal acceleration when the length of the string is halved for the position vector

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P-10PSCh-12 P-11PSCh-12 P-12PSCh-12 P-13PSCh-12 P-14PS

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