Question

The centripetal force on a body of mass 'm' and velocity 'v' moving in circular orbit of
radius 'r' is given by F =mv^2/r

(a)Write the dimensional formula of force.

(b) Using the formula of centripetal force write an equation to find percentage error in centripetal force.​

Answer 1

Answer:

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:

this is the correct answer OK