CBSE Class 11-science Answered
Derivation of expression for Centripetal Force.
Asked by abhinay.bhatta | 10 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
Regards,
Team,
TopperLearning.
Answered by | 10 Aug, 2009, 08:00: PM
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