A Circular Roadway and the Acceleration of Your Car "T (decreasing) (a) Constant angular speed (b) Decreasing angular speed Suppose you are driving a car in a counterclockwise direction on a circular road whose radius is r= 390 m (see Figure 8.20). You look at the speedometer and it reads a steady 32 m/s (about 72 mi/h). (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 a vehicle ahead, you apply the brakes and reduce your angular speed to 4.9 x 10-2 rad/s in a time of 4.0 s. What is the tangential acceleration (magnitude and direction) of the car?
A Circular Roadway and the Acceleration of Your Car "T (decreasing) (a) Constant angular speed (b) Decreasing angular speed Suppose you are driving a car in a counterclockwise direction on a circular road whose radius is r= 390 m (see Figure 8.20). You look at the speedometer and it reads a steady 32 m/s (about 72 mi/h). (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 a vehicle ahead, you apply the brakes and reduce your angular speed to 4.9 x 10-2 rad/s in a time of 4.0 s. What is the tangential acceleration (magnitude and direction) of the car?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A Circular Roadway and the
Acceleration of Your Car
"T (decreasing)
(a) Constant angular speed
(b) Decreasing angular speed
Suppose you are driving a car in a counterclockwise direction
on a circular road whose radius is r= 390 m (see Figure 8.20).
You look at the speedometer and it reads a steady 32 m/s
(about 72 mi/h). (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 a vehicle ahead, you
apply the brakes and reduce your angular speed to 4.9 x 10-2
rad/s in a time of 4.0 s. What is the tangential acceleration
(magnitude and direction) of the car?
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