Professional recording studios often use reel-to-reel tape decks. On such a tape

Question

Professional recording studios often use reel-to-reel tape decks. On such a 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 2400 s, the take-up reel is almost full, as part (b) of the drawing indicates. Find the average angular acceleration of the take-up reel.
c. What is the angular displacement of the take-up reel?

NOTE**Reel a has a radius .0508m and Reel b has radius of .114m

Explanation / Answer

(a)       the angular speed of the take-up reel willbe    A = v / r           =(0.381 m / s) / (0.0508 m)           =........ rad / s (b)    B = v / r           =(0.381 m / s) / (0.114 m)           =........ rad / s    given that t = 2.40 x 103 s    angular acceleration of the reel with theappropriate sign will be     = B -A/ t       = .......... rad /s2    if the result is negative then the angularvelocity is decreasing    if the result is negative then the angularvelocity is decreasing

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