Question

find the formula for centripetal force using dimensions if it depends on mass "m",velocity "v" and radius "r" of circular path

Answer 1

Centripetal Force = m^a v^b r^c

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

[MLT^-2] = [M]^a [L]^(b + c) [T^-1]^b

From above
[M] = [M]^a
a = 1

[T^-2] = [T^-1]^b
-2 = -b
b = 2

[L] = [L]^(b + c)
1 = b + c
c = 1 - b
c = 1 - 2
c = -1

Substituting values of a,b and c in centripetal force formula
F = m^1 v^2 r^-1 = mv^2 / r

Formula for centripetal Force is mv^2/r

Answer 2

Answer:

Explanation:

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Secondary SchoolPhysics 13+7 pts

Find the formula for centripetal force using dimensions if it depends on mass "m",velocity "v" and radius "r" of circular path

Report by Manu2072 01.08.2017

Answers

Nakshatrapv18 · Ambitious

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JunaidMirza

JunaidMirza Physics Newton

Centripetal Force = m^a v^b r^c

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

[MLT^-2] = [M]^a [L]^(b + c) [T^-1]^b

From above

[M] = [M]^a

a = 1

[T^-2] = [T^-1]^b

-2 = -b

b = 2

[L] = [L]^(b + c)

1 = b + c

c = 1 - b

c = 1 - 2

c = -1

Substituting values of a,b and c in centripetal force formula

F = m^1 v^2 r^-1 = mv^2 / r

Formula for centripetal Force is mv^2/r