a. At the beginning of a tape, the radius of one wheel is 2.5cm and the radius on the other side is 1.11 cm. What are the angular velocities of the two wheels? b. If it takes 45 minutes to play completely through one side of the tape, what are the angular accelerations of the two wheels?

a. At the beginning of a tape, the radius of one wheel is 2.5cm and the radius on the other side is 1.11 cm. What are the angular velocities of the two wheels? b. If it takes 45 minutes to play completely through one side of the tape, what are the angular accelerations of the two wheels?

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Cassette tapes store the tape around two wheels covered by a shell. When the tape is playing the tape unwinds from one wheel, passes over the tape head in the middle, and rewinds onto the other wheel. As the tape plays, it moves off one wheel and onto the other. This means that the tape is unwinding from a wheel at one radius and winding onto the other wheel with a different radius. At all times while playing the tape passes over the tape head at a constant speed of 4.75 cm/sec.

a. At the beginning of a tape, the radius of one wheel is 2.5cm and the radius on the other side is 1.11 cm. What are the angular velocities of the two wheels?

b. If it takes 45 minutes to play completely through one side of the tape, what are the angular accelerations of the two wheels?

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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