Average angular acceleration of tape deck reels

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On a reel-to-tape deck, the tape is pulled past the playback head at a constant linear speed of 0.381 m/s.

A) Using the data in part a of the drawing, find the angular speed of the take-up reel.

B) After 2.40 x 10^3 s, the take-up reel is almost full. Find the average angular acceleration of the reel and specify whether the acceleration indicates an increasing or decreasing angular velocity?

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Solution Preview

No drawing accompanies this stated problem.
I have an actual reel and a reel-to-reel tape recorder and have measured the following required information:
The radius of the empty take-up reel is; r= 2.7 cm= .027 m.
The radius of the reel ...

Solution Summary

Tape moves from one diameter on a reel to a different diameter on another reel, maintaining constant surface speed but changing angular velocities and accelerations. Relation between angular velocity and linear surface velocity is explained and accelerations calculated.

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