Question

A force of 0.5N is applied to an object of an area 250 cm2

. Calculate the pressure.​

Answer 1

Given :

• Force applied (F) = 0.5 N

• Area (A) = 250 cm² = 0.025 → 0.025 m²

→$\sf { 1 \: {m}^{2} = 10000 \: {cm}^{2}}$

→ $\sf { 1 \: {cm}^{2} = \dfrac{1}{10000}\: {m}^{2}}$

→ $\sf { 250 \: {cm}^{2} = \dfrac{250}{10000} \: {m}^{2}}$

→ $\sf { 250 \: {cm}^{2} = \dfrac{25}{1000} \: {m}^{2} }$

→$\sf \red { 250 \: {cm}^{2} = 0.025 \: {m}^{2}}$

[ We changed cm² into m² because SI unit of pressure is N/m².]

To calculate:

• Pressure (P)

Calculations :

As we know that,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

→ $\star \boxed{\sf{\pink{P = \dfrac{F}{A} }} }$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

→ $\sf { P = \dfrac{0.5 \: N}{ 0.025} \: {m}^{2} }$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

→ $\sf { P = \dfrac{5 \times 1000 \: N}{ 25 \times 10 \: {m}^{2} }}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

→ $\sf { P = \dfrac{5000 \: N}{ 250 \: {m}^{2} }}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

→ $\sf { P = \dfrac{500 \: N}{ 25 \: {m}^{2}} }$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

→ $\boxed { \sf \orange P = 20 \: N/{m}^{2} \: or \: 20 \: Pa}$

More Information:

• Pressure is defined as force applied per unit area.

• SI unit of pressure is Pa ( Pascal ).

• 1 Pascal = 1 N/m²

• If the area is less, pressure will be more.

• If the area is more, pressure will be less.

• If force is more, pressure will be more.