At t = 0, a flywheel has an angular velocity of 4.7 rad/s, a constant angular acceleration of −0.25 rad/s 2 , and a reference line at θ 0 = 0. (a) Through what maximum angle θ max will the reference line turn in the positive direction? What are the (b) first and (c) second times the reference line will be at θ = 1 2 θ max ? At what (d) negative time and (e) positive time will the reference line be at θ = 10.5 rad? (f) Graph θ versus t , and indicate your answers.
At t = 0, a flywheel has an angular velocity of 4.7 rad/s, a constant angular acceleration of −0.25 rad/s 2 , and a reference line at θ 0 = 0. (a) Through what maximum angle θ max will the reference line turn in the positive direction? What are the (b) first and (c) second times the reference line will be at θ = 1 2 θ max ? At what (d) negative time and (e) positive time will the reference line be at θ = 10.5 rad? (f) Graph θ versus t , and indicate your answers.
At t = 0, a flywheel has an angular velocity of 4.7 rad/s, a constant angular acceleration of −0.25 rad/s2, and a reference line at θ0 = 0. (a) Through what maximum angle θmax will the reference line turn in the positive direction? What are the (b) first and (c) second times the reference line will be at
θ
=
1
2
θ
max
? At what (d) negative time and (e) positive time will the reference line be at θ = 10.5 rad? (f) Graph θ versus t, and indicate your answers.
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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