A bicycle wheel rotates with a constant angular acceleration of 4.50 rad/s2. If the angular velocity of the wheel is 1.50 rad/s at t = 0, (a) through what angle does the wheel rotate between t = 0 and t = 3.00 s? Give your answer in radians and in revolutions. (b) What is the angular velocity of the wheel at t = 2.50 s? (c) What angular displacement (in revolutions) results while the angular velocity found in part (b) triples?
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
A bicycle wheel rotates with a constant
(a) through what angle does the
wheel rotate between t = 0 and t = 3.00 s? Give your answer in radians and in
revolutions.
(b) What is the angular velocity of the wheel at t = 2.50 s?
(c) What
(b) triples?
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