A particle is traveling counterclockwise in a circle of radius r = 2.75m. At some instant in time, the particle is located by the angular coordinate alpha = 24o, the acceleration has a magnitude of 12 m/s2 and is directed at an angle beta = 20o with respect to the radial coordinate. Determine the velocity total acceleration. Give your answers in vector notation.

Answered: Determine the velocity total…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section3.4: Analysis Model: Particle In Uniform Circular Motion

Problem 3.4QQ: Which of the following correctly describes the centripetal acceleration vector for a particle moving...

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A particle is traveling counterclockwise in a circle of radius r = 2.75m. At some instant in time, the particle is located by the angular coordinate alpha = 24^o, the acceleration has a magnitude of 12 m/s² and is directed at an angle beta = 20^o with respect to the radial coordinate. Determine the velocity total acceleration. Give your answers in vector notation.

Expert Solution

Step 1

Given:

Radius of circular path is $r = 2.75 m$

Angular coordinate is $α = 24^{°}$

Magnitude of acceleration is $a = 12 m / s^{2}$ makes an angle $β = 20^{°}$ with radius vector.

Find:

Velocity and acceleration in vector notation.

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