Question

How will the pressure vary if:
a) force is doubled by keeping the area constant
b) force and area, both are tripled
c) area is doubled while keeping the force constant.

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Answer 1

Answer:

a) If force is doubled keeping area constant, then pressure will also be doubled.

b) The pressure remains same. because increase in area is same as increase in force.

c) Thus P(pressure) is inversely proportional to A(area) provided the force applied is constant. Thus if we double the area of contact while keeping the force constant, then according to the formula the pressure should be halved.

Answer 2

A)Pressure has a basic formula:

P(pressure) = F(force) / A(area)

Thus P(pressure) is inversely proportional to A(area) provided the force applied is constant.  

Thus if we double the area of contact while keeping the force constant, then according to the formula the pressure should be halved.

B)We know that, pressure is Force per unit area.

So if, Force F acted in cross-section area A then the resultant we called it Pressure/Thrust (P/T)

So, T= F/A, if (given in question) area A is constant then, T∝F -(1).

So if Thrust T is doubled then, multiply 2 in equation (1).

We get, 2T∝2F.

So if force is doubled, then the thrust also get doubled if area kept is constant.

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