Cassette tapes are hip again! I knew they were too cool to be forgotten. 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?

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Cassette tapes are hip again! I knew they were too cool to be forgotten. 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?
Transcribed Image Text:Cassette tapes are hip again! I knew they were too cool to be forgotten. 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?
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