Question

A hydraulic system for a dentist's chair is designed to be able to lift 3,112 newtons. The surface area over which this force is applied is 707 cm 2 . What force must be applied to the activator end of the system if the button has a surface area of 3.14 cm 2

Answer 1

13.8 N

Step-by-step explanation:

Pressure on the one end of the hydraulic system = Pressure on the other end

Pressure = Force / Area where Force is in Newton, area is in m²

so Force of one end (F1) / area of that end = force of the other end (F2) / area of that end

3112 / ( 707 /10000) in m² = F2 / ( 3.14 / 10000) in m²

cross multiply

44016.97 × 0.000314 = 13.82 N