The hypodermic syringe contains a medicine with the same density of water. The b
ID: 1289969 • Letter: T
Question
The hypodermic syringe contains a medicine with the same density of water. The barrel of the syringe has a cross-sectional area of 3.56449 10?5 m2. The cross-sectional area of the needle is 2.86032 10?8 m2. In the absence of a force on the plunger, the pressure everywhere is 1.0 atm. A force of magnitude 2.78786 N is exerted on the plunger, making medicine squirt from the needle.
Find the medicines flow speed through the needle. Assume that the pressure in the needle remains at atmospheric pressure, that the syringe is horizontal, and that the speed of the emerging fluid is the same as the speed of the fluid in the needle. Answer in units of m/s.
The hypodermic syringe contains a medicine with the same density of water. The barrel of the syringe has a cross-sectional area of 3.56449 ½ 10^?5 m^2. The cross-sectional area of the needle is 2.86032 ½ 10^?8 m^2. In the absence of a force on the plunger, the pressure everywhere is 1.0 atm. A force of magnitude 2.78786 N is exerted on the plunger, making medicine squirt from the needle. Find the medicine½s flow speed through the needle. Assume that the pressure in the needle remains at atmospheric pressure, that the syringe is horizontal, and that the speed of the emerging fluid is the same as the speed of the fluid in the needle. Answer in units of m/s.Explanation / Answer
Assume inviscid, incompressible flow and apply Bernoulli's principle:
(P/?) + (1/2)?v
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