Question

ES216-Homework on Dimensional Analysis 1. List the primary dimensions of (a). Velocity (b). Dynamics viscosity (c). Kinematic viscosity (d). Pressure

Answer 1

(a)

$V=\frac{L}{t}$

here L is the distance covered having primary dimension L and t is time taken to cover the distance having primary dimension T which has two different and independent primary dimensions. so, bvelocity is not a primary dimension

(b)Dynamic viscosity = M¹L^-1T^-2 ( T¹)

M¹L^-1T^-1

(c)

$v=\frac{\mu }{\rho }$

$v=\frac{\frac{m}{Lt}}{\frac{m}{L^{3}}}$

$v=\frac{L^{2}}{t}$

(d)

(M/L·T2)

L2/t