A force of 80 newton acts on an area of 9 cm square.Now due to some reason,force is increased by 4percent and area decreased by 2percent.Then what will be the increase or decrease in new pressure
Answers
Answer:
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Explanation:
Answer:Pressure will increase
Explanation: There are 2 ways of going about the answer :
I. Pressure = Force / Area , that is , Pressure is inversely proportional to Area on which the force is acting. If the Area decreases and force is constant, then Pressure will increase. Here , Force is increased and Area is decreased . Since Force is directly proportional to Pressure, when Force increases Pressure will also increase.
II. The other way is through calculations. First take second situation,
Force(2) = 80 +( (4/100)80)
= 80 + (4/5 × 4)
= 80 + 16/5
= (400+16)/5
= 416/5
= 83.2
Area(2) = 9/100 - ((2/100)(9/100))
= 9/100 - (18/10000)
= (900 - 18)/10000
= 882/10000
= 0.088
Pressure(2) = 83.2/0.088
= (83200/1000) ÷ (88/1000)
= 83200/1000 ×1000/88
= 83200/88
= 945.454
Now, compare it with the first situation Force(1) = 80
Area(1) = 0.09
Pressure(1) = 80/0.09
= 888.888
Since Pressure(1) < Pressure(2)
This shows that Pressure has increased.
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