A needle 4.0 cm long with a radius of 0.3 mm is used for blood transfusion. The pressure difference across the needle is achieved by elevating the blood bottle 1m above patient's arm. The blood pressure in the person's vein is 10cmHg.
I) what is the flow rate of blood through the needle?
ii) At this rate of flow, how long will it take to inject 1 liter of blood into the patient?
The density of blood is 1050 kg/m^3 and it's viscosity is 4x10^3 Pa.s