1. Check whether the equation is dimensionally homogeneous. Find the unit conversion factor to make it dimensionally homogeneous. P = P 0 – (1/2) ρu 2 – ρgz (P-pressure, ρ-density, u-velocity,...

1. Check whether the equation is dimensionally homogeneous. Find the unit conversion factor to make it dimensionally homogeneous.

P = P₀
– (1/2) ρu²
– ρgz (P-pressure, ρ-density, u-velocity, z-height above datum)

2. The centripetal acceleration of a particle in circular motion is dependent on velocity u and radius r. Using dimensional analysis determine the functional relation.