Question

a force od 750N can produce a pressure of 15000pa.calculate the area in S.I unit.write in cm^2​

Answer 1

Explanation:

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

• Force applied (F) = 750 N
• Pressure produced (P) = 15000 Pa

We are asked to calculate area in,

• SI unit (that is, m²)
• cm²

Calculating area in m² :

★ P = $\sf\dfrac{F}{A}$

• P denotes pressure
• F denotes force
• A denotes area

→ P × A = F

→ $\sf\dfrac{F}{P}$ = A

→ $\sf\dfrac{750 \; N}{15000\; Pa}$ = A

• 1 Pa = 1 N/m²

→ $\sf\dfrac{750 \; N}{15000\; N/m^2}$ = A

→ $\sf\dfrac{150 \; N}{3000\; N/m^2}$ = A

→ $\sf\dfrac{15 \; N}{300\; N/m^2}$ = A

→ $\sf\dfrac{1 \; N}{20\; N/m^2}$ = A

$\\ \longrightarrow \bf{\quad \underline{ 0.05 \; m^2 = Area}}$

Therefore, in SI unit, the area is 0.05 m² :

Calculating area in cm² :

We have,

In m², the area is :

$\\ \longrightarrow \bf{\quad \underline{ 0.05 \; m^2 = Area}}$

• 1 m² = 10000 cm²

$\\ \longrightarrow \sf{\quad { (0.05 \times 10000) \; cm^2 = Area }}$

$\\ \longrightarrow \sf{\quad { (\dfrac{5}{100} \times 10000) \; cm^2 = Area }}$

$\\ \longrightarrow \sf{\quad { (5 \times 100) \; cm^2 = Area }}$

$\\ \longrightarrow \bf{\quad \underline{ 500 \; cm^2 = Area}}$

Therefore, area in cm² is 500 cm².