Sometimes your dentist needs to numb part of your mouth. He or she injects a local anesthetic into your gum…

Sometimes your dentist needs to numb part of your mouth. He or she injects a local anesthetic into your gum or inner check. Licocaine is the most common local anesthetic that dentists use. You are working with a dentist to design a selfdispensing syringe to inject lidocaine in the gums of patients through a 31-gauge needle. The device needs to deliver 0.AB mL/min for 30 seconds. To achieve this flow rate through the needle, what pressure differential does the device need to supply to achieve this flow. If the pressure in the gum is 1 atm what is the pressure within the device needed. If the needle is 1 inch long, determine what impact the angle of the injection has on the needed pressure differential.