Question

what will be the pressure when a 150 and force is applied on an area of 3 metre square​

Answer 1

Question :

Calculate the Pressure exerted when a force of 150N is acted on an area of 3m².

Given :

• Force applied = 150 N
• Area = 3m²

To Find :

• Pressure exerted

Solution :

The relation between Pressure , Force and area is given by ,

$\dag \boxed {\rm{P = \dfrac{F}{A} }}$

We have ,

• F = 150N
• A = 3m²

$: \implies \rm \: P = \dfrac{150 \: N}{3 \: m {}^{2} } \\ \\ : \implies \rm p = \frac{ \cancel{150}}{ \cancel{3}} Nm {}^{ - 2} \\ \\ : \implies \rm \: P = 50 \: Nm {}^{ - 2} \\ \\ : \implies \rm \: P = 50 \: pa \: \bigstar$

∴ The pressure exerted when a force of 150 N acts on an area of 3m² is 50 Pascals (or) 50 Pa (or) 50 N/m²

Additional Info :

• Pressure is directly proportional to Force acting and inversely proportional to Area

• SI unit of Pressure is N/m² (or) Pascal. Because Force has an SI unit of 'N' and Area has an SI unit of 'm²' . Since Pressure = Force/Area = N/m² = 1 Pascals