Jim is driving a car at a constant speed on a straight path along ckwise direction for 8.50 km. As Jim does this, a point on the su ough an arc length of 8.50 km. The 8.50 km journey takes Jim a e end of the journey, he brakes and comes to a complete stop. T gular acceleration of 2.48 rad/s“. The car tires have a diameter

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Jim is driving a car at a constant speed on a straight path along a horizontal road in the
clockwise direction for 8.50 km. As Jim does this, a point on the surface of the car's tire moves
through an arc length of 8.50 km. The 8.50 km journey takes Jim a total time of 13.8 minutes. At
the end of the journey, he brakes and comes to a complete stop. The brakes cause a constant
angular acceleration of 2.48 rad/s. The car tires have a diameter of 63.4 cm.
a. What is the angular displacement of the tire during the journey (before braking)?
b. What is the angular speed of the car tire during the journey (before braking)?
c. After the brakes are first applied, how long does it take Jim to stop?
d. What is the angular displacement of the car tire while braking?
e. How far does the car travel between braking and coming to rest?
Transcribed Image Text:Jim is driving a car at a constant speed on a straight path along a horizontal road in the clockwise direction for 8.50 km. As Jim does this, a point on the surface of the car's tire moves through an arc length of 8.50 km. The 8.50 km journey takes Jim a total time of 13.8 minutes. At the end of the journey, he brakes and comes to a complete stop. The brakes cause a constant angular acceleration of 2.48 rad/s. The car tires have a diameter of 63.4 cm. a. What is the angular displacement of the tire during the journey (before braking)? b. What is the angular speed of the car tire during the journey (before braking)? c. After the brakes are first applied, how long does it take Jim to stop? d. What is the angular displacement of the car tire while braking? e. How far does the car travel between braking and coming to rest?
Expert Solution
Step 1

Given:-

Jim is driving a car at a constant speed on a straight path along a horizontal road in the clockwise direction for 8.50 km. 

tire moves through an arc length of 8.50 km,

The 8.50 km journey takes Jim a total time of 13.8 minutes.

At the end of the journey, he brakes and comes to a complete stop. The brakes cause a constant angular acceleration of 2.48 rad/s2

The car tires have a diameter of 63.4 cm.

Find;-

a. What is the angular displacement of the tire during the journey (before braking)?
b. What is the angular speed of the car tire during the journey (before braking)?
c. After the brakes are first applied, how long does it take Jim to stop?

d. What is the angular displacement of the car tire while braking?
e. How far does the car travel between braking and coming to rest?

 

 

 

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