Need help with this question. A nozzle of inner radius 1.00 mm is connected to a hose of inner radius 8.00mm. the nozzle shoots out water moving at 25.0m/s. At what spped is the water in the hose moving. what is the the volume flow rate? what is the mass flow rate?

Question

Need help with  this question. A nozzle of inner radius 1.00 mm is connected to a hose of inner radius 8.00mm. the nozzle shoots out water moving at 25.0m/s. At what spped is the water in the hose moving. what is the the volume flow rate? what is the mass flow rate?

anonymous · Answer

First find the volumetric flow rate, which will be the area of the nozzle times the velocity of the water. 
$$V_f=\pi*r^2*v$$The volumetric flow rate is the same everywhere, so the speed of the water in the hose is that flow rate divided by the area of the hose. The mass flow rate is just the volumetric flow rate times the density of water.