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A cat propels a ball on a horizontal circular track of a 15 cm radius at an initial speed of 2m/s. The ball makes 4 turns before stopping. Part 1: (a) With respect to a tangential axis x whose positive direction is oriented in the direction of motion, what is its tangential acceleration? (b) What is the modulus of the resultant acceleration of the ball as it completes its third turn? Part 2: Find; c) angular acceleration (pay attention to sign conventions!): d) The number of additionnal revolutions the disc

A cat propels a ball on a horizontal circular track of a 15 cm radius at an initial speed of 2m/s. The ball makes 4 turns before stopping. Part 1: (a) With respect to a tangential axis x whose positive direction is oriented in the direction of motion, what is its tangential acceleration? (b) What is the modulus of the resultant acceleration of the ball as it completes its third turn? Part 2: Find; c) angular acceleration (pay attention to sign conventions!): d) The number of additionnal revolutions the disc

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A cat propels a ball on a horizontal circular track of a 15 cm radius at an initial speed of 2m/s. The ball makes 4 turns before stopping.

Part 1:
(a) With respect to a tangential axis x whose positive direction is oriented in the direction of motion, what is its tangential acceleration? (b) What is the modulus of the resultant acceleration of the ball as it completes its third turn?

Part 2:
Find;
c) angular acceleration (pay attention to sign conventions!):

d) The number of additionnal revolutions the disc will make before stopping:

Then replace the following values in your models to test them:

Initial angular velocity of the disk: w0=25.6 rad/s

The angular speed of the disc after 12 revolutions: w=5.1 rad/s

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