Calculating Pressure Increase in a Syringe | 43 N Force, 1.1 cm Radius Plunger

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SUMMARY

The pressure increase in a syringe when a force of 43 N is applied to a circular piston with a radius of 1.1 cm is calculated using the formula for pressure, which is defined as force divided by area. The area of the plunger is determined using the formula A = πr², where r is the radius in meters. The correct calculation yields a pressure increase of approximately 0.016346 Pa. This discussion emphasizes the importance of understanding the definition of pressure in fluid mechanics.

PREREQUISITES
  • Understanding of basic physics concepts, specifically pressure and force.
  • Familiarity with the formula for the area of a circle (A = πr²).
  • Knowledge of unit conversions, particularly from centimeters to meters.
  • Basic mathematical skills for performing calculations involving force and area.
NEXT STEPS
  • Study the relationship between force, area, and pressure in fluid mechanics.
  • Learn about Pascal's Law and its applications in hydraulic systems.
  • Explore the concept of pressure in different fluids and its implications in medical devices.
  • Investigate the effects of varying piston sizes on pressure changes in syringes.
USEFUL FOR

Students studying physics, healthcare professionals using syringes, and engineers designing fluid systems will benefit from this discussion.

Jrlinton
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Homework Statement



Find the pressure increase in the fluid in a syringe when a nurse applies a force of 43 N to the syringe's circular piston, which has a radius of 1.1 cm.

Homework Equations

The Attempt at a Solution


So the answer should just be the force multiplied by the area of the plunger, no?
43N*pi*0.011m^2
0.016346 Pa
 
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Jrlinton said:

Homework Statement



Find the pressure increase in the fluid in a syringe when a nurse applies a force of 43 N to the syringe's circular piston, which has a radius of 1.1 cm.

Homework Equations

The Attempt at a Solution


So the answer should just be the force multiplied by the area of the plunger, no?
43N*pi*0.011m^2
0.016346 Pa
No. How is the pressure defined?
http://hyperphysics.phy-astr.gsu.edu/hbase/press.html
 
Silly me. Thank you
 

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