- #1
fayan77
- 84
- 0
Homework Statement
##\rho##water = 1.94
a = variable
##\gamma## = 1.94(32.2) = 62.4
Pressure outside P1 = 2116 lb/ft3
Temp = 75 F
Pressure at bottom P2 = vapor pressure = 52.3 lb/ft3
Height = 6 inch = .5 ft
Homework Equations
-##\nabla{p}-\gamma\hat{j}=\rho\hat{a}##
The Attempt at a Solution
direction of change in pressure is vertical going from bottom to top so it is ##\hat{j}##
I dot ##\hat{j}## with each term of -##\nabla{p}-\gamma\hat{j}=\rho\hat{a}##
then I obtain
-##\frac {dp} {dl}## - ##\gamma## = ##\rho##a
-(P1-P2)/.5 - ##\gamma## = ##\rho##a
solving for a i get 2159.7 ft/s2
does this make sense?