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Determine the dimensions for R if R = m V / (d^2 Q) where m is a mass, V is a velocity, d is a diameter, and the dimensions of Q are M/(LT).


No dimensions


M / (L T^2)


M L / T^2


M


L / T

Sagot :

Answer:

No dimension

Explanation:

The given equation is [tex]R = \dfrac{m \cdot V}{d^2 \cdot Q}[/tex], where;

m = Mass

V = Velocity

d = A diameter

The dimension of mass quantity = M

The dimension of the velocity quantity = L/T

The dimension of the dimeter quantity = L

The given dimension of Q = M/(L·T)

Therefore, we get;

[tex]The \ dimension \ of \ R = \dfrac{M \times L/T}{L^2 \times (M/LT)} = \dfrac{M \times L/T}{L \times M/T} = 1[/tex]

Therefore, R has no dimensions

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