Question

If a downward of 500 N is exerted of the plunger whose surface area is 0.4m2.calculate the pressure which forces water into cylinder c

Answer 1

Given :

• Force acting on the plunger = 500 N

• Area of contact = 0.4 m²

To Find :-

⠀⠀⠀⠀⠀⠀⠀⠀⠀The pressure exerted .

Solution :-

Let the pressure exerted be P.

We know the formula for Pressure , i.e,

$\underline{\boxed{\bf{Pressure = \dfrac{Thrust}{Area}}}}$

Now , some information about pressure !!

• Pressure decreases with the increase in area.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\underline{\bf{P \propto \dfrac{1}{A}}}$

• Pressure increases with increase in area.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\underline{\bf{P \propto F}}$

• The standard unit of pressure is N/m²or Pascal. (Abbreviated as Pa)

Now using the formula and substituting the values in it, we get :-

$:\implies \bf{Pressure = \dfrac{Thrust}{Area}} \\ \\ \\ :\implies \bf{Pressure = \dfrac{500}{0.4}} \\ \\ \\ :\implies \bf{Pressure = \dfrac{5000}{4}} \\ \\ \\ :\implies \bf{Pressure = 1250 Pa} \\ \\ \\ \therefore \bf{Pressure\:Exerted = 1250 Pa}$

Hence, the pressure exerted is 1250 Pa.