Bits per meter of a CD

While a CD player is reading the outer edge of an audio CD the disc spins at approximately 3.33 revolutions per second. The radius of a CD is 0.06 meters and the data transfer rate is 1.2 million bits per second (a bit is the smallest piece of information one can have - it is either a one or a zero). How many bits are stored per meter on the outer rim of a CD to the nearest thousand?


The answer is 956000.

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2 solutions

Daniel Liu
Nov 17, 2013

The circumference of the CD is 2 π × 0.06 = 0.12 π 2\pi\times 0.06=0.12\pi . Multiplying this by 3.33 3.33 gives the number of meters passed per second: 0.3996 π 0.3996\pi m/s. Now we divide 1.2 million bits by this number to get the number of bits per meter: 1200000 ÷ ( 0.3996 π ) 956000 1200000\div (0.3996\pi)\approx \boxed{956000} bits per second.

Nice one (y)

Farhan Atonu I - 7 years, 6 months ago

thanks

Hamza Gillani - 7 years, 6 months ago

bits per meter*

José Renato Zacaroni Barbosa - 7 years, 6 months ago

thanx

jamal ahmed - 7 years, 6 months ago

nice

Abd Elalim Saeed - 7 years, 6 months ago

hmmmm i forgot taking circumference

Juma Khan Zahidi - 7 years, 6 months ago
Sharky Kesa
Nov 22, 2013

Here is the series of equation you must solve to get the answer

1200000 3.33 = 360. 360 \frac {1200000}{3.33}=360.\overline {360}

360. 360 2 0.06 π = 955855.544095467482 \frac {360.\overline {360}}{2 * 0.06 * \pi}=955855.544095467482

When you round this quotient to the nearest thousand you get 956000.

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