To be dimensionally consistent, pressure [M/LT²], density [M/L³], and velocity [L/T] must be related as follows. A) pressure² = density × velocity² B) pressure = density × velocity² C) pressure = density × velocity D) pressure = density² × velocity

Question

Quizplus · Accepted Answer

Pressure has dimensions [M/LT^2], density has dimensions [M/L^3], and velocity has dimensions [L/T]. The expression density × velocity^2 has dimensions [M/L^3] × [L^2/T^2] = [M/LT^2], which matches the dimensions of pressure.

To Be Dimensionally Consistent, Pressure [M/LT2], Density [M/L3], and Velocity

To Be Dimensionally Consistent, Pressure [M/LT²], Density [M/L³], and Velocity