Assume a force of 30 N is distributed over a surface of area 2m^2 in such a way that at each point force can be considered to act at an angle of 30° to the normal at that point. What will be the value of pressure on that plane?(a) 7.5 Pa(b) 7.5\(\sqrt{3}\) Pa(c) 15 Pa(d) 15\(\sqrt{3}\) PaThis question was posed to me in unit test.I need to ask this question from Fluids Mechanical Properties Pressure in chapter Mechanical Properties of Fluids of Physics – Class 11

Assume a force of 30 N is distributed over a surface of area 2m^2 in s

1.	Assume a force of 30 N is distributed over a surface of area 2m^2 in such a way that at each point force can be considered to act at an angle of 30° to the normal at that point. What will be the value of pressure on that plane?(a) 7.5 Pa(b) 7.5\(\sqrt{3}\) Pa(c) 15 Pa(d) 15\(\sqrt{3}\) PaThis question was posed to me in unit test.I need to ask this question from Fluids Mechanical Properties Pressure in chapter Mechanical Properties of Fluids of Physics – Class 11
Answer» Right OPTION is (b) 7.5\(\sqrt{3}\) Pa To explain I would say: One important thing to keep in mind is that pressure at a point is the NORMAL COMPONENT of force per unit AREA, NOT total force per unit area. So, here we will take the normal component of 30N force, i.e: 30cos(30°)=15\(\sqrt{3}\). Press = F/A = 15\(\sqrt{3}\)/2 = 7.5\(\sqrt{3}\) Pa.

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