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10.1 Angular Acceleration

- Uniform circular motion is motion in a circle at constant speed and therefore constant angular velocity, which was discussed in Uniform Circular Motion and Gravitation.

- The figure shows a uniform circular motion.

- When a skater pulls in her arms, a child starts up a merry-go-round from rest, or a computer's hard disk slows to a halt when switched off,angular velocity is not constant.

- The greater the change's speed, the faster the acceleration.
- The rate of change of the velocity is referred to as angular acceleration.

- If it increases then it is positive.
- If it decreases, it is negative.

- Suppose a teenager puts her bicycle on its back and starts the rear wheel spinning from rest to a final speed of 250rpm.

- The final angular velocity and time can be found from the definition of the acceleration.
- There is a speed of 250rpm and a speed of 5.00 s.

- The first and second part of the equation are known.

- There is a decrease in the angular velocity from (250rpm) to zero.

- The girl spins the wheel at a small and positive rate, but it takes 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 888-349-8884 When she hits the brakes, the acceleration is negative.
- The velocity goes to zero in a matter of seconds.
- The relationships are similar to what happens with linear motion.
- When you crash into a brick wall, the velocity change is large in a short time interval.

- If the bicycle in the preceding example had been on its wheels, it would have first accelerated along the ground and then come to a stop.
- There is a connection between circular motion and linear motion.
- It would be useful to know how linear and angular acceleration are related.

- Linear acceleration occurs as the magnitude of the velocity changes.

- Circular motion centripetal acceleration refers to changes in the direction of the velocity but not its magnitude.
- centripetal acceleration is seen in an object undergoing circular motion and is independent of one another.
- There is an increase or decrease in the speed, but not its direction.

- Centripetal acceleration is related to the circular motion.
- Centripetal and tangential acceleration are the same.

- There is a relationship between linear acceleration and angular acceleration.

- For circular motion, the radius is constant.

- The equations show that linear acceleration and angular acceleration are proportional.
- The bigger the linear acceleration is, the bigger the angular acceleration is.
- The smaller the wheel, the smaller the linear acceleration.

- The motorcycle's linear acceleration is accompanied by its wheels.

- The linear velocities of the motorcycle are given to us.
- We can find its linear acceleration.
- The expression can be used to find the acceleration.

- We know the diameter of the wheels.

- The units of radians are non-dimensional and can be seen in any relationship between the two quantities.

- We have defined three rotational quantities so far.
- The quantities are similar to the translational quantities.

- You can sit on a chair that rotates.
- Lift one of your legs so that it is straight out.

- Push on the ground using the other leg.
- Allow the chair to rotation and stop using your leg to push the ground.

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