COLLEGE PHYSICS
COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 3, Problem 14QAP
To determine

Explain the acceleration vector is zero or not, if a cyclist rides around circular track.

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The velocity of a particle is V and is constant. It moves counterclockwise on a circle with center "O" and radius R. Draw the circle. When the particle is in the vector R position, draw vector R, vector V, vector A, and vector da/dt(time derivative of acceleration).
You can use the formula for centripetal acceleration OR You have to calculate the average acceleration directly from the definition, a = delta v / delta t.  You have to first get a_x by using the velocity's initial and final x components, do a_y from the y components, and then use the Pythagorean formula to get the magnitude of the acceleration vector.
A motorcycle moves on a circular path of radius b. The motorcycle starts from rest and its speed increases at a constant rate c. Use polar coordinates to (a) express the velocity of the motorcycle (b) express total acceleration of the motorcycle (c) find the angle between its velocity and acceleration vectors. Is the angle constant?

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COLLEGE PHYSICS

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