Question

1. Find the magnitude of pressure in Pascal of a force of 150 N that acts normally on an area of 0.25 m2​

Answer 1

✯ QUESTION :-

• 1. Find the magnitude of pressure in Pascal of a force of 150 N that acts normally on an area of $\sf {0.25 m^2}$.

✯ GIVEN :-

• The force applied is 150N.
• And, applied on an area of $\sf {0.25 m^2}$.

✯ TO FIND :-

• The pressure exerted on the area = ??.

We know that,

$\sf{ \underline{ \boxed { \bigstar \mid \bf pressure = \frac{force}{area} \mid { \bigstar}}}} \\ \sf \to \: pressure \: = \frac{150n}{0.25 {m}^{2} } \\ \sf \to \: p = \frac{150}{ \cancel{25}} \times \cancel{100 }\\ \sf \to \: p = 150 \times 4 \\ \bf { \underline { \fcolorbox{black}{lightgreen}{ \bf { \: p = 600 \: p.a \: \: or \: \: pascal \:\:\: ➝ans. }}}}$

Hence,

• Pressure exerted is 600 Pascal.

✯ ADDITIONAL INFO ✯

• Pressure :- $\sf \: pressure \: = \frac{force}{area}$
• Area :- $\sf \: area \: = \frac{force}{pressure}$
• Force :- Area × pressure.

Answer 2

$\huge\sf { \dag Question }$

Find the magnitude of pressure in pascal of a force of 150 N that acts normally on an area of 0.25 m^2.

$\huge\sf { \dag Solution }$

${\underline {\underline {\rm {\red { Given }}}}}$

• $\sf\orange { F (Force \: applied) = 150N }$

• $\sf\orange {A ( Area) = 0.25{m}^{2} }$

${\underline {\underline {\rm {\red { To \: find: }}}}}$

• $\sf { Pressure \: exerted }$

${\underline {\underline {\rm {\red { Calculation: }}}}}$

We know that,

${\qquad {\underline {\underline {\rm {\purple { Pressure = \dfrac{ Force}{Area} }}}}}}$

$\sf { \qquad \leadsto P = \dfrac{150}{0.25} }$

$\sf { \qquad \leadsto P = \dfrac{150 \times \cancel { 100}^{\: \: 4}}{ \cancel {25}} }$

$\sf { \qquad \leadsto P = 150 \times 4 }$

$\sf\red { \qquad \leadsto P = 600Pa \: Ans. }$

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$\huge\sf { \dag Additional \: Information: }$

Let's know more about pressure-

• Pressure is the effect of force on a given area. Simply we can say that, Pressure is the force per unit area.

• ${\underline {\underline {\rm {\red { P = \dfrac{ F}{A} }}}}}$

Where,

• P = pressure
• F = force
• A = area

• SI unit of force is Pascal.

• In liquids pressure depends upon the depth ( height ) and the density of the liquid.

• Liquid pressure is measured with nanometer

• The force exerted by the atmosphere on unit are is called atmospheric pressure.

• Atmospheric pressure is measured by barometer.

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