Asked by Anonymous
To be dimensionally consistent, pressure [M/LT2], density [M/L3], and velocity [L/T] must be related as follows.
Select one:
a. pressure = density ´ velocity2
b. pressure = density2 ´ velocity
c. pressure = density ´ velocity
d. pressure2 = density ´ velocity2
Select one:
a. pressure = density ´ velocity2
b. pressure = density2 ´ velocity
c. pressure = density ´ velocity
d. pressure2 = density ´ velocity2
Answers
Answered by
Damon
LOL, well we all know that pressure is density * v^2 but we better answer the question anyway.
pressure = force/area
= mass * acceleration / area^2
= M L/T^2 / L^2 = M /(L T^2)
density = M/L^3
velocity = L/T
so
density * velocity^2 = M/L^3 *L^2/T^2
= M (L T^2)
which sure enough is the pressure units
pressure = force/area
= mass * acceleration / area^2
= M L/T^2 / L^2 = M /(L T^2)
density = M/L^3
velocity = L/T
so
density * velocity^2 = M/L^3 *L^2/T^2
= M (L T^2)
which sure enough is the pressure units
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