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Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford
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Answer: A classic 1957 Chevrolet Corvette of mass 1240 kg

Chapter 9, Problem 67P

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QUESTION:

A classic 1957 Chevrolet Corvette of mass 1240 kg starts from rest and speeds up with a constant tangential acceleration of 2.0 \(m/s^2\) on a circular test track of radius 60.0 m. Treat the car as a particle. (a) What is its angular acceleration? (b) What is its angular speed 6.00 s after it starts? (c) What is its radial acceleration at this time? (d) Sketch a view from above showing the circular track, the car, the velocity vector, and the acceleration component vectors 6.00 s after the car starts. (e) What are the magnitudes of the total acceleration and net force for the car at this time? (f) What angle do the total acceleration and net force make with car’s velocity at this time?

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QUESTION:

A classic 1957 Chevrolet Corvette of mass 1240 kg starts from rest and speeds up with a constant tangential acceleration of 2.0 \(m/s^2\) on a circular test track of radius 60.0 m. Treat the car as a particle. (a) What is its angular acceleration? (b) What is its angular speed 6.00 s after it starts? (c) What is its radial acceleration at this time? (d) Sketch a view from above showing the circular track, the car, the velocity vector, and the acceleration component vectors 6.00 s after the car starts. (e) What are the magnitudes of the total acceleration and net force for the car at this time? (f) What angle do the total acceleration and net force make with car’s velocity at this time?

ANSWER:

Step 1 of 7

Introduction:

The tangential acceleration from the car is given, we have to calculate the angular acceleration. After calculating the angular acceleration, from the given time we have to calculate the angular speed of the car. And from the angular speed we will calculate the radial acceleration. Now knowing both radial and tangential acceleration we can sketch the components of the acceleration and velocity of the car. Then we can calculate the magnitude of the total acceleration and force and the direction of the total acceleration and force.

 

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