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Yall pls help me out
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)


Sagot :

Answer:

M·L/T²

Explanation:

The given equation for T is presented as follows;

[tex]T = \dfrac{M \cdot V^2 \cdot A}{L^3}[/tex]

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;

[tex]The \ dimensions \ of \ T = \dfrac{M \times (L/T)^2 \cdot L^2}{L^3} = \dfrac{M \times L^4/T^2 }{L^3} = M \cdot L/T^2[/tex]