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A wheel of a diameter 180 cm is turning at 3.0 rev/s. Eventually it starts to...

A wheel of a diameter 180 cm is turning at 3.0 rev/s. Eventually it starts to slow down and when it does, time starts at t = 0s. From the moment it starts to slow down it stops after 26 revolutions.

a) What is the wheel’s angular acceleration, in rad/s2?

b) What is the time required to stop the wheel, from the moment it starts slowing down?

c) What are the initial tangential speed and initial centripetal acceleration, at t = 0s, of the point on the rim of the wheel?

d) What is the total initial acceleration of the point on the rim of the wheel at t = 0s?

e) A star is rotating about an axis that passes through its center. When the star “dies,” the balance between the inward pressure due to the force of gravity and the outward pressure from nuclear processes is no longer present and the star collapses inward; and its radius decreases with time. Which one of the following choices best describes what happens as the star collapses? a) The angular velocity of the star remains constant. b) The angular velocity of the star increases. c) The angular velocity of the star decreases. d) The angular momentum of the star decreases. e) Both angular momentum and angular velocity increase.

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