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
You might be interested in
Answer:
The electrochemical equivalent of copper, Cu, is 3.29015544 × 10⁻⁷ g/C
Explanation:
The given parameters are;
The element for which the electrochemical equivalent is sought = Copper
The atomic mass of copper = 63.5
The electrochemical equivalent, 'Z', of an element or a substance is the mass, 'm', of the element or substance deposited by one coulomb of electricity, which is equivalent to a 1 ampere current flowing for a period of 1 second
Mathematically, we have;
m = Z·I·t = Z·Q
We have;
Cu²⁺ (aq) + 2·e⁻ → Cu
Therefore, one mole of Cu, is deposited by 2 moles of electrons
The charge carried one mole of electrons = 1 Faraday = 96500 C
∴ The charge carried two moles of electrons, Q = 2 × 96500 C = 193,000 C
Given that the mass of an atom of Cu = 63.5 a.m.u., the mass of one mole of Cu, m = 63.5 g
∴ Z = 3.29015544 × 10⁻⁴ g/C = 3.29015544 × 10⁻⁷ g/C
The electrochemical equivalent of copper, Cu, is Z = 3.29015544 × 10⁻⁷ g/C