Find the pressure increase in the fluid in a syringe when a nurse applies a force of 38 N to the syringe's circular piston, which has a radius of 1.0 cm.

Question

 answer only please

Answer 1

Pressure is defined as force per unit area, the unit of Pascals Pa is N/m^2, so to find the pressure increase, we simply divide the force applied (38N) by the area of the circular piston (A  = pi*R^2). *careful on the units! We need meters, and are given centimeters!

P = Force/Area

Area = pi*R^2 = 3.14*0.01^2 = 3.14*10^-4

P = 38/(3.14*10^-4)

P = 121*10^3 Pa = 121KPa

(this looks big, but pressure units, Pascals, are pretty small, the pressure of the atmosphere around you on a typical day is about 101kPa)