Question

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

Answer 1

No dimension

Step-by-step explanation:

The given equation is
`R = (m \cdot V)/(d^2 \cdot Q)`, 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;

`The \ dimension \ of \ R = (M * L/T)/(L^2 * (M/LT)) = (M * L/T)/(L * M/T) = 1`

Therefore, R has no dimensions