Pascal's Principle 1
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Transcript of Pascal's Principle 1
CHAPTER 3: FORCES AND PRESSURE
PASCAL’S PRINCIPLE
Recall
• Pressure act on a solid object:
Pressure = Normal force
area
P = F/A
• Pressure at any point in liquid acts in all directions. Also increases with depth and affected by gravitational force
ghP
What is this??
Do you believe or not that I can raisean Elephant?
YES!!! We can raise up an elephant.
Pascal’s principle
Stated that an external pressure applied to an enclosed fluid transmitted
equally to every part of the fluid, as well as to the enclosed wall
ACTIVITY
I want eat egg..
Cannot !!! It is a raw egg..
What happened if wrap your palm around the raw egg and try to crush it ??
What happened if we change the raw egg to the cooked egg?Isn’t the same answer?
ExplanationWhen we wrap palm around a raw
egg and press it, it will not crush.
This is because inside the egg is liquid. When we wrap and press the egg, the pressure is transmitted throughout the liquid.
Pressure acts in all directions
DEMONSTRATION TIME
As the pressure is transmitted equally,
P1 = P2
Output Force = Output Piston area
Input Force Input Piston area
Therefore,
1
212
A
AFF
2
2
1
1
A
F
A
F
1
2
1
2
A
A
F
F
Because the volume of fluid pushed down on the left side equals the volume of fluid that is lifted up on the right side, the following formula is also true.
V1 = V2
by substitution, A1 D1 = A2 D2
A = cross sectional areaD = the distance moved
Applications of Pascal’s principle
Hydraulic brakeHydraulic jack
Hydraulic jack
Hydraulic brake
Problem Solving
Example 1:
In hydraulic brake, a force of 80 N is applied to a piston with area of 4 cm².a. What is the pressure transmitted throughout
the liquid?
b. If the piston at the wheel cylinder has an area of 8 cm², what is the force exerted on it?
Solution
(a) P = F/A
= 80 N/4 cm²
= 20 N/ cm²
b) F = P x A
= 20 N/cm² x 8 cm²
= 160 N
Example 2:
The figure shows a 10 N weight balancing a X N weight placed on a bigger syringe. What is the value of X ?
Solution:
10 N / 1.5 cm² = X N / 4.5 cm²
Therefore X = (10 / 1.5) x 4.5
= 30 N
2
2
1
1
A
F
A
F
PASCAL’S PRINCIPLE
Pressure
Enclosed fluid
-Hydraulic brake
-Hydraulic jack
Is transmitted equally in every part of a liquid in an Hydraulic System
Two connected piston
Related to
P1 =P2
With formula
ExampleDescribe that