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Determine the dimensions for T if T = M V^2 A / L^3 where M is a mass, V is a velocity, A is an area, and L is a length.


L / T


No dimensions


M L / T^2


M


M / (L T^2)

1 Answer

3 votes

Answer:

M·L/T²

Step-by-step explanation:

The given equation for T is presented as follows;


T = (M \cdot V^2 \cdot A)/(L^3)

Where;

m = Mass with dimension M

V = Velocity, having the dimensions L/T

A = Area, having the dimensions L²

l = Length, having the dimensions, L

Therefore;


The \ dimensions \ of \ T = (M * (L/T)^2 \cdot L^2)/(L^3) = (M * L^4/T^2 )/(L^3) = M \cdot L/T^2

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