A hydraulic system is designed to lift cars for inspection in a service station. The narrow end of the system has a surface area
2 answers:
Answer : The correct answer for force = 11.745 N .
Hydraulic system is a system which is operated by moving liquid in a definite area which is under pressure . It uses the force which is produced due to difference in pressure at two ends of a system .
It basically uses oil or water ( incompressible liquids ) , which can relocate the force from one area to other in the fluid .
The force around different areas can be calculated using Pascal's Principle.
Pascal's Principle : It states that if there in increase in pressure in any area in fluid , there will be equal to increase in pressure at other area . It can be expressed as :
---------Equation (1)
, where P1 = pressure in one area P2 = pressure in other area .
Pressure is defined as force acting per unit area . Hence , Pressure and force can be related as :
Where unit of pressure= pascals(p) Force= newton(N)
Area = meter square (m²)
On plugging value of pressure in equation (1) :
------ Equation (2)
Where , F1 = force at one area A1 = area of one area
F2 = force at other area A2 = area of other area
Given : F 1 = 81 N A1 = 5 cm² or 0.0005 m² ( 1 m²= 10000 cm²)
F2 = ? A2 = 725 cm² or 0.0725 m²
Plugging these value in equation (2) :
Multiplying both side by 0.0725 m²
F2 = 11,745 N
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