A [x] meter diameter flag pole (cylinder) in air has a Reyno…

A meter diameter flag pole (cylinder) in air has a Reynolds number of 1×105.  From the figure below, the drag coefficient is approximated as 1.1   Find the drag on the flag pole if it is meters tall.  Use the density of air as 1.2 kg/m3 and viscosity as 1.8×10-5 kg/(m*s). Enter your numerical answer below, without units. Include three digits in your answer and give the numerical answer in N.

The water is to be pumped from the lower reservoir to the up…

The water is to be pumped from the lower reservoir to the upper reservoir at a flow rate of kg/s.  The free surface of the upper reservoir is meters above the free surface of the lower reservoir.  The piping system shown has a pipe diameter of cm and a total frictional loss (major and minor) of meters.  The pipe entrance is 4 meters below the free surface of the lower reservoir and the pipe exit is 2 meters below the free surface of the upper reservoir.  Determine the power required to pump the water if the pump is 85% efficient.  Use the water density as 998 kg/m3.    In the blank below, enter the pump power in kW.  Write your answer to three significant digits and do not include units.

Water at a volume flow rate of [x] m3/s enters the nozzle-be…

Water at a volume flow rate of m3/s enters the nozzle-bend shown that turns the flow 120 degrees.  The inflow area is 0.1 m2 and the outflow area is 0.04 m2.  The flow enters with a gage pressure of kPa and exits to the atmosphere.  Use the density of water as 998 kg/m3 .   Assume turbulent flow having a correction factor of 1.03. a.  Sketch the nozzle bend, show the coordinate system and control volume being used to find the reaction force required to hold the nozzle-bend in place.  Draw and label the reaction force in the correct location and in the assumed direction. b.  Determine the reaction force in the x direction required to hold the nozzle in place.  For full credit, the sign of the force needs to be consistent with the direction label in your sketch. In the box below, enter the reaction force in the x-direction without units. Include three digits in your answer and give the numerical answer in kN.

Fully-developed steady laminar flow is driven between two pa…

Fully-developed steady laminar flow is driven between two parallel plates by a pressure gradient in the x-direction. The upper plate at y=H/2 is stationary and the lower plate at y=-H/2 moves to the right with velocity Uwall.  Assume that v=0 and w=0 everywhere in the flow field and that the flow is fully-developed and steady.  Neglect body forces. To solve this problem, you will use the x-momentum equation.  For the flow described above, mark ALL boundary conditions that are used to find the x-direction velocity profile.

The water reservoir is open to the atmosphere and the outsid…

The water reservoir is open to the atmosphere and the outside of the gate is also exposed to the atmosphere.  The top of the gate is H1= m from the free surface. The height of the gate is H2=0.8 m.  Determine the net force on the gate that is 0.6 meters wide into the picture. The density of water is 998 kg/m3.  The local atmospheric pressure is 101 kPa. In the blank below, enter the net force in kN.  Write your answer to three significant digits and do not include units.