Calculate the outlet mass flow rate of water in pounds mass per hour for the con

Question

                    Calculate the outlet mass flow rate of water in pounds mass per hour for the conditions below. Show all of your work & watch your units!                 

                    v_in = 500ft/sec                 

                    p_in = 62.3 lb_m/ft^3                 

                    A_in = 36 in^2                 

                    m_out = ??? lb_m/hr                 

                    A_out - 5in^2                 

                                     flow direction --------> ------>

Explanation / Answer

m_in=density*v*A

density=62.30 lb/ft3

v=500ft/sec

A=36 in^2 =36*0.006945=0.25 ft^2

m_in=62.30*500*0.25=7787.5 lb/s

7787.5 lb/s =7787.5/3600 lb_m/hr =2.163 lb_m/hr

m_in = m_out= 2.163 lb_m/hr

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