Question

Find the area if pressure=30.72 and force=48Pa

Answer 1

Answer:

1.5625 m²

Explanation:

As per the provided information in the given information, we have:

• Pressure (P) = 30.72 Pa
• Force applied (F) = 48 N

We've been asked to calculate the area.

Here, we are provided with the magnitude of pressure are force. Basically, here we'll apply the formula of pressure in order to calculate area, which is an unknown value.

Now, as it is known to us that,

$\bigstar \quad\underline{\boxed { \pmb{\frak{Pressure}} = \dfrac{\pmb{\frak{Force}}}{\pmb{\frak{Area}}} }}$

Substitute the values in the formula.

$\longrightarrow \sf{\quad { 30.72 \; Pa = \dfrac{48 \; N}{Area}}}$

$\longrightarrow \sf{\quad { 30.72 \; \dfrac{N}{m^2} = \dfrac{48 \; N}{Area}}}$

$\longrightarrow \sf{\quad { 30.72 \; \dfrac{N}{m^2} \times Area = 48 \; N }}$

$\longrightarrow \sf{\quad { Area = 48 \; N \div 30.72 \; \dfrac{N}{m^2} }}$

$\longrightarrow \sf{\quad { Area = 48 \; \cancel{N }\times \dfrac{1}{30.72} \; \dfrac{m^2}{\cancel{N}} }}$

$\longrightarrow \sf{\quad { Area = \dfrac{48}{30.72} \; m^2 }}$

$\longrightarrow \sf{\quad { Area = \dfrac{4800}{3072} \; m^2 }}$

$\longrightarrow \quad\underline{\boxed { \pmb{\frak{Area}} = \pmb{\frak{1.5625 \; m}}^{\pmb{\frak{2}}} }}$

Therefore, area is 1.5625 m².

$\underline{ \qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$

Learn More :

• SI unit of area is m².
• Pressure is defined as force per unit area.
• Its SI unit is Pa.
• Pa is equivalent to N/m².
• Force is defined as push or pull which tends the position, shape, speed of the object.
• SI unit of force is Newton.
• Newton is denoted by N.
• Force is also the product of mass and acceleration, i.e Force = Mass × Acceleration