How Much Force Must a Nurse Apply to Overcome Blood Pressure Using a Syringe?

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To determine the minimum force a nurse must apply to a syringe to overcome a patient's blood pressure of 140/100 mmHg, the relationship between force and area must be utilized. The pressure exerted by the blood can be converted to force by using the formula that relates pressure to force and area. The blood pressure, measured in mmHg, is crucial for calculating the necessary force at the needle's inner diameter. Understanding that blood pressure represents force per unit area helps clarify the calculations needed. Ultimately, the nurse must apply sufficient force to ensure the medication effectively enters the bloodstream.
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Homework Statement


A 1.63 mL syringe has an inner diameter of 5.04 mm, a needle inner diameter 0.21 mm, and a plunger pad diameter (where you place your finger) of 1.06 cm. A nurse uses the syringe to inject medicine into a patient whose blood pressure is 140/100. What is the minimum force the nurse needs to apply to the syringe?



Homework Equations



F1/A1=F2/A2

The Attempt at a Solution


I understand that the pressure is constant through out the syringe, but what I don't know how the blood pressure is used. I see that i can use blood pressure=force/(area of needle inner diameter) solve for force. then use the relationship F/A to solve for the tap.

So long story short...does it matter what the blood pressure number is or do i have to change it to Pa/atm some how?
 
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im so confused about the blood pressure thing. FML
 
Blood pressure is unit force per area, so is that just mean I am left with F1/A1=Blood pressure
 
What is the pressure needed to get the goodies to enter the blood stream?

Blood pressure is measured in mmHg if that is the clue you need.
 
oh that's i couldn't find, let me work knowing that and see if I can figure it out.
 

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