The syringe shown in the figure below consists of a cylindrical tank with radius

Question

The syringe shown in the figure below consists of a cylindrical tank with radius R = 30 cm that narrows into a cylindrical neck with radius r = 6 cm. The neck of the syringe is capped off by a tightly-fitted stopper as shown. A 38-N force is applied to the plunger. Plunger with Stopper (a) What is the pressure in the tank of the syringe? Ptank = 134.4 Correct: Your answer is correct. Pa (b) What is the pressure in the neck of the syringe? Pneck = Incorrect: Your answer is incorrect. Pa (c) What is the magnitude of the force exerted by the fluid in the syringe on the stopper? Fstopper = Incorrect: Your answer is incorrect. N (d) How much force would the fluid exert on the plunger if you'd applied the 38-N force to the stopper instead? Fplunger = Incorrect: Your answer is incorrect. N

Explanation / Answer

(a) Ptank = Fapp / Atank = 38 / Rtank2 = 38 / ( * 0.32) = 134.4 N/m2

(b) Pressure is same in a static fluid in horizontal direction. So,

Pneck = Ptank = 134.4 N/m2

(c) Force on the stopper, Fstopper = Pneck (Rneck2) = 134.4 * * 0.062 = 1.52 N/m2

(d) Fplunger = (38 / Rneck2) * (Rplunger2) = 38 * (0.3 / 0.06)2 = 950 N

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