*79. ssm Suppose you are driving a car in a counterclockwise direc- tion on a circular road whose radius is r = 390 m (see the figure). You look at the speedometer and it reads a steady 32 m/s (about 72 mi/h). Con- cepts: (i) Does an object traveling at a constant tangential speed (for example, v, = 32 m/s) along a circular path have an acceleration? (ii) Is there a tangential acceleration a, when the angular speed of an object changes (e.g., when the car's angular speed decreases to 4.9 X 10-² rad/s)? Calculations: (a) What is the angular speed of the car? (b) Determine the acceleration (magnitude and direction) of the car. (c) To avoid a rear-end collision with the vehicle ahead, you apply the brakes and reduce your angular speed to 4.9 × 10-² rad/s in a time of 4.0 s. What is the tangential acceleration (magnitude and direction) of the car? 'T (decreasing) (a) Constant angular speed (b) Decreasing angular speed Problem 79

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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*79. ssm Suppose you are driving a car in a counterclockwise direc-
tion on a circular road whose radius is r = 390 m (see the figure). You
look at the speedometer and it reads a steady 32 m/s (about 72 mi/h). Con-
cepts: (i) Does an object traveling at a constant tangential speed (for
example, v, = 32 m/s) along a circular path have an acceleration? (ii) Is
there a tangential acceleration a, when the angular speed of an object
changes (e.g., when the car's angular speed decreases to 4.9 X 10-² rad/s)?
Calculations: (a) What is the angular speed of the car? (b) Determine the
acceleration (magnitude and direction) of the car. (c) To avoid a rear-end
collision with the vehicle ahead, you apply the brakes and reduce your
angular speed to 4.9 × 10-² rad/s in a time of 4.0 s. What is the tangential
acceleration (magnitude and direction) of the car?
'T (decreasing)
(a) Constant angular speed
(b) Decreasing angular speed
Problem 79
Transcribed Image Text:*79. ssm Suppose you are driving a car in a counterclockwise direc- tion on a circular road whose radius is r = 390 m (see the figure). You look at the speedometer and it reads a steady 32 m/s (about 72 mi/h). Con- cepts: (i) Does an object traveling at a constant tangential speed (for example, v, = 32 m/s) along a circular path have an acceleration? (ii) Is there a tangential acceleration a, when the angular speed of an object changes (e.g., when the car's angular speed decreases to 4.9 X 10-² rad/s)? Calculations: (a) What is the angular speed of the car? (b) Determine the acceleration (magnitude and direction) of the car. (c) To avoid a rear-end collision with the vehicle ahead, you apply the brakes and reduce your angular speed to 4.9 × 10-² rad/s in a time of 4.0 s. What is the tangential acceleration (magnitude and direction) of the car? 'T (decreasing) (a) Constant angular speed (b) Decreasing angular speed Problem 79
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