Question

A force of 300N while acting on an area A produces a pressure of 1500Pa. Calculate the magnitude of A in sq.cm

Answer 1

pressure = force/ area
Therefore, area = force/ pressure
area = 300N / 1500 Pa = 1 / 5 sq.m
Now, 1m = 100cm.
Therefore, 100×100/5 = 2000 sq.cm

Answer 2

Given:

Force = 300 N

Pressure produced = 1500 Pa = 1500 N/$m^{2}$

To Find: Magnitude of area in sq. cm

Calculation:

• Pressure is defined as the magnitude of force that is acting normal on a surface over a unit area.
• Pressure is a scalar quantity.

• Pressure = $\frac{Force}{Area}$

• $1500=\frac{300}{A} \\A=\frac{300}{1500} \\A=0.2m^{2}$

• Area = 0.2 $m^{2}$ = 0.2 * 10000 $cm^{2}$ = 2000 $cm^{2}$

Answer:

Magnitude of area on which the pressure is applied is 2000 $cm^{2}$.