A wheel 1.28m in diameter rotates with an angular acceleration of 2.26 rad/s^2. If the wheels initial angular velocity is 1.88 rad/s: a. What is its angular velocity after 9.71s? b. What is the tangential speed of a point on the outer edge of the wheel at the end of the 9.71s interval? c. What is the tangential acceleration of a point on the outer edge of the wheel at the end of the 9.71s interval?

A wheel 1.28m in diameter rotates with an angular acceleration of 2.26 rad/s^2. If the wheels initial angular velocity is 1.88 rad/s: a. What is its angular velocity after 9.71s? b. What is the tangential speed of a point on the outer edge of the wheel at the end of the 9.71s interval? c. What is the tangential acceleration of a point on the outer edge of the wheel at the end of the 9.71s interval?

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Question

A wheel 1.28m in diameter rotates with an angular acceleration of 2.26 rad/s^2. If the wheels initial angular velocity is 1.88 rad/s:

a. What is its angular velocity after 9.71s?

b. What is the tangential speed of a point on the outer edge of the wheel at the end of the 9.71s interval?

c. What is the tangential acceleration of a point on the outer edge of the wheel at the end of the 9.71s interval?

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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