Derivation of expression for Centripetal Force.

Asked by abhinay.bhatta | 10th Aug, 2009, 07:23: PM

Expert Answer:

Since force is not the fundamental quantity, write it's dimensions,

F = ma = (mass)(acceleration)

[F] = [M] [LT] -2

[M] [LT] -2 = [M]a [L]b [LT -1]c

Comparing the exponents of each base quantity, on both sides, and equating,

M : a = 1

L : b + c = 1

T:  -c = -2

a = 1; c = 2; b = -1

Hence F = kmv2/r

and as we know the propotionality constant k = 1.

F = mv2/r

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Answered by  | 10th Aug, 2009, 08:00: PM

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