General Physics, 2nd Edition
General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Chapter 20, Problem 47E

(a)

To determine

The number of bits per centimeter stored on a track.

(a)

Expert Solution
Check Mark

Answer to Problem 47E

The number of bits stored per centimeter is 1592bitscm-1.

Explanation of Solution

Write the expression for the number of bits stored on a track.

    n=Ul        (1)

Here, n is the number of bits, U is the transfer rate and l is the length covered by the track.

Write the expression for the length of the track.

    l=ωr        (2)

Here, ω is the spin rate and r is the radius of the track.

Conclusion:

Substitute 300revmin-1 for ω and 5cm for r in equation (2).

    l=(300revmin-1(2πrad1rev)(1min60s))(5cm)=50πcms-1

Substitute 250kilobitss-1 for U and 50πcms1 for l in equation (1).

    n=250kilobitss-1(103bits1kilobits)50πcms-1=1592bitscm-1

Thus, the number of bits stored per centimeter is 1592bitscm-1.

(a)

To determine

The number of bits stored per unit length of the track.

(a)

Expert Solution
Check Mark

Answer to Problem 47E

The number of bits stored per centimeter is 4406bitscm-1.

Explanation of Solution

Write the expression for the number of bits stored on a track.

    n=Ul

Write the expression for the length of the track.

    l=ωr

Conclusion:

Substitute 3633revmin-1 for ω and 5cm for r in equation (2).

    l=(3633revmin-1(2πrad1rev)(1min60s))(10.5cm)=3994.7cms-1

Substitute 17.6megabitss-1 for U and 3994.7cms-1 for l in equation (1).

    n=17.6megabitss-1(106bits1megabits)3994.7cms-1=4406bitscm-1

Thus, the number of bits stored per centimeter is 4406bitscm-1.

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Chapter 20 Solutions

General Physics, 2nd Edition

Ch. 20 - Prob. 11RQCh. 20 - Prob. 12RQCh. 20 - Prob. 13RQCh. 20 - Prob. 1ECh. 20 - Prob. 2ECh. 20 - Prob. 3ECh. 20 - Prob. 4ECh. 20 - Prob. 5ECh. 20 - Prob. 6ECh. 20 - Prob. 7ECh. 20 - Prob. 8ECh. 20 - Prob. 9ECh. 20 - Prob. 10ECh. 20 - Prob. 11ECh. 20 - Prob. 12ECh. 20 - Prob. 13ECh. 20 - Prob. 14ECh. 20 - Prob. 15ECh. 20 - Prob. 16ECh. 20 - Prob. 17ECh. 20 - Prob. 18ECh. 20 - Prob. 19ECh. 20 - Prob. 20ECh. 20 - Prob. 21ECh. 20 - Prob. 22ECh. 20 - Prob. 23ECh. 20 - Prob. 24ECh. 20 - Prob. 25ECh. 20 - Prob. 26ECh. 20 - Prob. 27ECh. 20 - Prob. 28ECh. 20 - Prob. 29ECh. 20 - Prob. 30ECh. 20 - Prob. 31ECh. 20 - Prob. 32ECh. 20 - Prob. 33ECh. 20 - Prob. 34ECh. 20 - Prob. 35ECh. 20 - Prob. 36ECh. 20 - Prob. 37ECh. 20 - Prob. 38ECh. 20 - Prob. 39ECh. 20 - Prob. 40ECh. 20 - Prob. 41ECh. 20 - Prob. 42ECh. 20 - Prob. 43ECh. 20 - Prob. 44ECh. 20 - Prob. 45ECh. 20 - Prob. 46ECh. 20 - Prob. 47ECh. 20 - Prob. 48ECh. 20 - Prob. 49ECh. 20 - Prob. 50ECh. 20 - Prob. 51ECh. 20 - Prob. 52ECh. 20 - Prob. 53ECh. 20 - Prob. 54ECh. 20 - Prob. 55ECh. 20 - Prob. 56ECh. 20 - Prob. 57ECh. 20 - Prob. 58ECh. 20 - Prob. 59ECh. 20 - Prob. 60ECh. 20 - Prob. 61ECh. 20 - Prob. 62ECh. 20 - Prob. 63ECh. 20 - Prob. 64ECh. 20 - Prob. 65ECh. 20 - Prob. 66ECh. 20 - Prob. 67ECh. 20 - Prob. 68ECh. 20 - Prob. 69ECh. 20 - Prob. 70ECh. 20 - Prob. 71ECh. 20 - Prob. 72ECh. 20 - Prob. 73ECh. 20 - Prob. 74ECh. 20 - Prob. 75ECh. 20 - Prob. 76ECh. 20 - Prob. 77ECh. 20 - Prob. 78ECh. 20 - Prob. 79ECh. 20 - Prob. 80ECh. 20 - Prob. 81ECh. 20 - Prob. 82ECh. 20 - Prob. 83ECh. 20 - Prob. 84ECh. 20 - Prob. 85ECh. 20 - Prob. 86ECh. 20 - Prob. 87ECh. 20 - Prob. 88ECh. 20 - Prob. 89ECh. 20 - Prob. 90ECh. 20 - Prob. 91ECh. 20 - Prob. 92ECh. 20 - Prob. 93ECh. 20 - Prob. 94ECh. 20 - Prob. 95E
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