Question

A force of 185.6 N is applied to a square of side length 3 m. Work out the pressure on the square.[ Hint: first you need to find area of square] *​

Answer 1

Answer:

20.62 Pa

Explanation:

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

• Force applied = 185.6 N
• Length of tje square = 3 m

We are asked to calculate the pressure on the square.

Firstly let's understand the topic 'Pressure'.

• Pressure is defined as force per unit area.
• Its SI unit is Pa or Pascal.
• 1 Pa = 1 N/m²
• When there is more area, then there is less pressure.
• When there is less area, then there is more pressure.
• When there is more force, then pressure is greater.

As we know that,

$\\ \twoheadrightarrow \quad \pmb{\boxed{\sf {P= \dfrac{F}{A} }}}$

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

Here, we need to calculate the area of the square first. So, by using the formula of area of square, we have :

$\\ \twoheadrightarrow \quad \sf {Area_{(Square)} = (Side)^2 }$

$\\ \twoheadrightarrow \quad \sf {Area_{(Square)} = (3 \; m)^2 }$

$\\ \twoheadrightarrow \quad \sf {Area_{(Square)} = 9 \; m^2 }$

Now, substituting the values in the formula of pressure.

$\\ \twoheadrightarrow \quad \sf {P = \dfrac{185.6}{9} \; Pa }$

$\\ \twoheadrightarrow \quad \bf \underline {P = 20.62 \; Pa }$

Therefore, pressure exerted on the square is 20.62 Pa.