Question

A force of 250 N, while acting on an area X produces a pressure of 1000 Pa. Calculate the magnitude of X in cm².

Answer 1

Step 1: Given data

Force, $F=250N$

Pressure,$P=1000Pa$

Area, $A=X$

Step 2: Formula used

$Pressure\left(P\right)=\frac{Force\left(F\right)}{Area\left(A\right)}$

Step 3: Calculation

To calculate the magnitude of X, we use the formula,

$$\begin{gathered} A=F/P \\ X=250/1000 \\ X=0.25m² \end{gathered}$$

To convert m to cm, we multiply the area by 1000,

$$\begin{gathered} X=0.25/10000 \\ X=2500cm² \end{gathered}$$

Hence, the magnitude of X in cm² is $2500c{m}^2$.