12. Rotational Kinematics

While you drive, your tires, all of radius 0.40 m, rotate 10,000 times. How far did you drive, in meters?

An object moves a total distance of 1,000 m around a circle of radius 30 m. How many degrees does the object go through? 

BONUS:How many complete revolutions does it make?

A car travels a total of 2,000 m and 1140° around a circular path, starting from 0° . What is the radius of the circular path? 

BONUS:How far (in degrees) from 0° does the car end up?

FIGURE EX4.23 shows the angular-velocity-versus-time graph for a particle moving in a circle. How many revolutions does the object make during the first 4 s?

(II) A child rolls a ball on a level floor 3.1 m to another child. If the ball makes 12.0 revolutions, what is its diameter?

A child rolls a ball on a level floor 3.1 m to another child. If the ball makes 12.0 revolutions, what is its diameter?

(II) A small rubber wheel is used to drive a large pottery wheel. The two wheels are mounted so that their circular edges touch. The small wheel has a radius of 2.0 cm and accelerates at the rate of 6.8 rad/s², and it is in contact with the pottery wheel (radius 27.0 cm) without slipping. Calculate the time it takes the pottery wheel to reach its required speed of 65 rpm.

(II) A small rubber wheel is used to drive a large pottery wheel. The two wheels are mounted so that their circular edges touch. The small wheel has a radius of 2.0 cm and accelerates at the rate of 6.8 rad/s², and it is in contact with the pottery wheel (radius 27.0 cm) without slipping. Calculate the angular acceleration of the pottery wheel.