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Homework Statement
Determine y_{2} (ft)and v_{2} (ft/s) using the momentum principle assume widths are the same at 1 and 2
Homework Equations
from what i remember in my past fluids class, the momentum equation is:
Force = Qv_{out}  Qv_{in} assuming same density and direction
However in my lecture the professor provided another equation
but when i work out the units in this equation left side yields Force and right side is pressure (force/area)
did my professor forget to multiply each pressure with its respective Area? P_{1}A_{1}?
The Attempt at a Solution
using ##\rho####\beta##QV_{2}  ##\rho####\beta##QV_{1} = P_{1}A_{1}P_{2}A_{2}
assume both ##\beta##'s = 1
assume width = 1
using continuity equation Q = V_{1}A_{1} = V_{2}A_{2} = (4.55)(1)(8.55)=y_{2}(1)V_{2}
##\rho##(4.55)(1)(8.55)(V_{2}  V_{1})= P_{1}(4.55)(1)P_{2}y_{2}(1)
##\rho##38.9(V_{2}  8.55)= P_{1}4.55P_{2}y_{2}
I am stuck
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