A wheel rotates with a constant angular acceleration of 3.45 rad/s2. Assume the angular speed of the wheel is 2.20 rad/s at ti = 0. (a) Through what angle does the wheel rotate between t = 0 and t = 2.00 s? Give your answer in radians and revolutions. 11.3rad 1.80rev (b) What is the angular speed of the wheel at t = 2.00 s? 9.1rad/s (c) What angular displacement (in revolutions) results while the angular speed found in part (b) doubles? 5.80rev 2. Use the values from PRACTICE IT to help you work this exercise. (a) Find the angle through which the wheel rotates between t = 2.00 s and t = 3.10 s. (b) Find the angular speed when t = 3.10 s. rad/s (c) What is the magnitude of the angular speed five revolutions following t = 3.10 s?
A wheel rotates with a constant angular acceleration of 3.45 rad/s2. Assume the angular speed of the wheel is 2.20 rad/s at ti = 0. (a) Through what angle does the wheel rotate between t = 0 and t = 2.00 s? Give your answer in radians and revolutions. 11.3rad 1.80rev (b) What is the angular speed of the wheel at t = 2.00 s? 9.1rad/s (c) What angular displacement (in revolutions) results while the angular speed found in part (b) doubles? 5.80rev 2. Use the values from PRACTICE IT to help you work this exercise. (a) Find the angle through which the wheel rotates between t = 2.00 s and t = 3.10 s. (b) Find the angular speed when t = 3.10 s. rad/s (c) What is the magnitude of the angular speed five revolutions following t = 3.10 s?
A wheel rotates with a constant angular acceleration of 3.45 rad/s2. Assume the angular speed of the wheel is 2.20 rad/s at ti = 0. (a) Through what angle does the wheel rotate between t = 0 and t = 2.00 s? Give your answer in radians and revolutions. 11.3rad 1.80rev (b) What is the angular speed of the wheel at t = 2.00 s? 9.1rad/s (c) What angular displacement (in revolutions) results while the angular speed found in part (b) doubles? 5.80rev 2. Use the values from PRACTICE IT to help you work this exercise. (a) Find the angle through which the wheel rotates between t = 2.00 s and t = 3.10 s. (b) Find the angular speed when t = 3.10 s. rad/s (c) What is the magnitude of the angular speed five revolutions following t = 3.10 s?
A wheel rotates with a constant angular acceleration of 3.45 rad/s2. Assume the angular speed of the wheel is 2.20 rad/s at ti = 0.
(a) Through what angle does the wheel rotate between t = 0 and t = 2.00 s? Give your answer in radians and revolutions. 11.3rad 1.80rev
(b) What is the angular speed of the wheel at t = 2.00 s? 9.1rad/s
(c) What angular displacement (in revolutions) results while the angular speed found in part (b) doubles? 5.80rev
2. Use the values from PRACTICE IT to help you work this exercise.
(a) Find the angle through which the wheel rotates between t = 2.00 s and t = 3.10 s.
(b) Find the angular speed when t = 3.10 s. rad/s
(c) What is the magnitude of the angular speed five revolutions following t = 3.10 s?
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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