The piston of a hypodermic apparatus (Fig. 8-4) is being withdrawn at 0.30 in/s; air leaks in around the piston at the rate 0.0012 in'/s. What is the average speed of blood flow in the needle? I Choose as a control volume the region between the piston and the tip of the needle. M = pAu = PQ E (mass flow in unit time) =E (mass flow in unit time). (Prlooa(x)(0.02/12)/4](v) + (Prtooa)(0.0012/1728) = (Potoo(7)(0.2/12)²/4](0.30/12) v =2.18 ft/s in/s Piston d0.02 in D, -0.2 in Needle Fig. 84

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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8.8
The piston of a hypodermic apparatus (Fig. 8-4) is being withdrawn at 0.30 in/s; air leaks in around the piston at
the rate 0.0012 in'/s. What is the average speed of blood flow in the needle?
I Choose as a control volume the region between the piston and the tip of the needle.
M= pAu = PQ
E (mass flow in unit time)=E (mass flow in unit time)ut
(Potood)[(7)(0.02/12)/4](v) + (Polood)(0.0012/1728) = (Potood[(x)(0.2/12)/4](0.30/12)
v = 2.18 ft/s
in/s
Piston
d, - 0.02 in
D, =0.2 in
Needle
Fig. 84
Transcribed Image Text:8.8 The piston of a hypodermic apparatus (Fig. 8-4) is being withdrawn at 0.30 in/s; air leaks in around the piston at the rate 0.0012 in'/s. What is the average speed of blood flow in the needle? I Choose as a control volume the region between the piston and the tip of the needle. M= pAu = PQ E (mass flow in unit time)=E (mass flow in unit time)ut (Potood)[(7)(0.02/12)/4](v) + (Polood)(0.0012/1728) = (Potood[(x)(0.2/12)/4](0.30/12) v = 2.18 ft/s in/s Piston d, - 0.02 in D, =0.2 in Needle Fig. 84
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