winding: rotational?

it was found the the winding radius of a tape on a cassette was reduced by half in time t1 = 20. in what time will the winding radius will be reduced by half again?

9 Answers

71
Vivek @ Born this Way ·

Infact, not a rotational problem, But simple maths you can use.

1
Anirudh Kumar ·

so please solve it?

1
Akshay Pamnani ·

in 20 more seconds

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1
Anirudh Kumar ·

the answer given is t/4.

1
anujkaliaiitd ·

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4)Hi Anirudh:
The volume rate of removal of the tape is constant (assume this). Now, loss in volume in the 2nd case is 1/4 of the volume loss in the 2nd case. This yields the answer 1/4*t.

1
Anirudh Kumar ·

anuj can you provide some basis for the assumption?

1
pandit ·

any one to answer it ??

341
Hari Shankar ·

The reasonable assumption is that the length of tape is reduced at a constant rate.

Since the thickness of the spool is also constant, this means the area is reduced at a constant rate.

In 20 s the area is reduced from A to A/4 , a reduction of 3A/4

Next, the reduction in area is 3A/16 which will take 1/4 X 20 = 5s

1
Anirudh Kumar ·

Yes, Sir this seems to be alright. Thank you!

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