Water is flowing in a pipe with a circular cross-section area ,and at all point the water completely fills the pipe.At point 1 ,the cross sectiona are of pipe is 0.070 meter square and the fluid velocity is 3.50 meter per second.

Question

Water is flowing in a pipe with a circular cross-section area ,and at all point the water completely fills the pipe.At point 1 ,the cross sectiona are of pipe is 0.070 meter square and the fluid velocity is 3.50 meter per second.
 a.) what is the fluid speed at point in the pipe where the cross-sectional area is 0.105 meter square?
 b.) Calculate the volume of the water discharge from the open end of the pine in 1000 hour.

bobpursley · Answer

Law of continuity: Mass rate in = mass rate out, or
Area1*density1*Velocity1=area2*velocity2*density2

densities are equal, so
.07m^2*3.5m/sec=.105m^2*V solve for velocity V

volume/hr=V*3600sec/hr
in 1000 hrs, multiply that by 1000