In magnetic tape recording, the tape is subjected to tension while it is guided

Question

In magnetic tape recording, the tape is subjected to tension while it is guided along its path. Tension in the tape causes elastic deformation that results in slight changes in length of the domains on which information is stored. Say the tape has an average modulus of 8 GPa. a thickness of 10/mu m , and a width of 14mm . Let the unit of stored information occupy a length 0.3/mu m in a tape that has no tension. Determine the length of the storage unit if the tape is subjected to tension of 0.5N . Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

=E

=>F/A=El/l

=>0.5/(10*10-6*14*10-3)=8*109*l/l

=>l=4.46*10-4*0.3*10-6 m = 133.8*10-12 m

l'=l+l=0.3001338 m

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