On a reel-to-reel tape deck, the tape is pulled past theplayback head at a const

Question

On a reel-to-reel tape deck, the tape is pulled past theplayback head at a constant linear speed of 0.381 m/s. Using the data in drawing (a), find the angular speed of thetake-up reel. After 2.40 x 103 s, the take-up reel is almost fullas drawing (b) shows. Find the average angular aceleration of thereel and specify whether the acceleration is increasing ordecreasing the angular velocity. On a reel-to-reel tape deck, the tape is pulled past theplayback head at a constant linear speed of 0.381 m/s. Using the data in drawing (a), find the angular speed of the take-up reel. After 2.40 x 10^3 s, the take-up reel is almost full as drawing (b) shows. Find the average angular aceleration of thereel and specify whether the acceleration is increasing or decreasing the angular velocity.

Explanation / Answer

   Given that constant linear speed v = 0.381 m/s radius r = 0.0508 m The angular speed of the take up reel is                 = v/r The average angular acceleration of the reel is                = /t Here = (0.381 m/s)/(0.114 m)            t= 2.40 x 103 s Substitute the values.

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