Question

How will the pressure vary if-

Force is the doubled while keeping the area constant?

Force and area both are tripled?

Area is doubled while keeping the force constant?

Answer 1

Answer:

The thrust acting on an object per unit area is called the pressure on the surface. Mathematically, it can be written as :

Where,

F is the thrust or the force acting

A is the area

So, it is clear that the pressure is inversely proportional to the area.

If the area is doubled keeping the thrust constant, the pressure would be half as :

P = F/A/2 =2P

Hence, this is the required solution

Answer 2

Answer:

Explanation:

Pressure is force acting upon unit area

Pressure = Force/Area

P = F/A

(i) If force is doubled...

   F' = 2F

   A' = A

   P' = F'/A' = 2F/A

   P' = 2(F/A) = 2P

Therefore, the pressure will be doubled.

(ii) If both force and area are tripled...

    F' = 3F

    A' = 3A

    P' = F'/A' = 3F/3A

    P' = 3/3(F/A) =  P

Here, the new pressure will be same as the initial pressure.

(iii) If area is doubled...

     F' = F

     A' = 2A

     P' = F'/A' = F/2A

     P' = P/2

Therefore, the pressure will be halved.

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