1) IBM has a computer it calls the Blue Gene/L that can do 267.7 kilocalculation

Question

                 1) IBM has a computer it calls the Blue Gene/L that can do 267.7 kilocalculations per second. How many calculations can it do in a femtosecond?

2) Show that the equation v = v0 + at is dimensionally consistent. Note that v and v0 are velocities and that a is an acceleration.

                 3) A parking lot is 123.0 m long and 40.20 m wide. What is the perimeter of the lot?  (Enter your answer to the correct number of significant figures.)

                 4) How long does it take for radiation from a cesium-133 atom to complete 1 kilocycle?

Explanation / Answer

1) 267.7*10^3 calc / s

1 femtosecond = 10^-15 s

1 s = 10^15 femto seconds

so, => 267.7*10^3 / 10^15 = 267.7*10^-12 calculations / femto second

2) v => LT^-1

v0 => LT^-1

a => LT^-2

t => T

v = v0 + at

LT^-1 = LT^-1 + LT^-2 * T = LT^-1 + LT^-1

so, dimensionally consistent

3) perimeter = 2*(a+b) = 2*(123+40.2) = 326.4m

4)

1 cycle = 1/9,192,631,770 s

1000 cycles = 1000/9,192,631,770 = 1.0878*10^-7 s

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