A 1.0 m L syringe has an inner diameter of 5.5 m m , a needle inner diameter of

Question

A 1.0mL syringe has an inner diameter of 5.5mm, a needle inner diameter of 0.22mm , and a plunger pad diameter (where you place your finger) of 1.2 cm. A nurse uses the syringe to inject medicine into a patient whose blood pressure is 140/100. Assume the liquid is an ideal fluid.

Part A:

What is the minimum force the nurse needs to apply to the syringe?

Express your answer using two significant figures.

Part B

The nurse empties the syringe in 3.8s . What is the flow speed of the medicine through the needle?

Express your answer using two significant figures.

Explanation / Answer

part A)   

F = 100 ( 1/760) ( 1.3 x 10^5/1 atm) Pi (2.75 x 10^-3)^2 = 0.316 N

part b ) Q = 1 x 10^-3 / 3.8 . (1/ 1000) = 2.63 x 10^-7 m3/s

Q= Av

2.63 x 10^-7 = 3.14 x ( 0.110 x 10^-3 ) ^2 V

v = 6.922m/s

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