Question

The force acting on a circular disc of radius 7m is given 50N. Find the pressure.

Answer 1

Given:

Force acting on circular disc,F= 50 N

Radius of circular disc,r= 7 m

To Find:

Pressure exerted on circular disc

Solution:

We know that,  

• Pressure P exerting on certain surface is given by

$\pink{\boxed{\bf{P=\frac{Force}{Area}}}}$

• Area of a circle A is given by

$\purple{\boxed{\bf{A=\pi r^{2}}}}$

where,

r is the radius of circle

$\rule{190}{1}$

Let the area of one face of circular disc be A

So,

$\longrightarrow\rm{A=\pi r^{2}}$

$\longrightarrow\rm{A=\dfrac{22}{\cancel{7}}\times\cancel{7}\times7}$

$\longrightarrow\rm{A=22\times7}$

$\longrightarrow\rm{A=154\ m^{2}}$

$\rule{190}{1}$

Let the pressure exerted on circular disc be P

So,

$\longrightarrow\rm{P=\dfrac{F}{A}}$

$\longrightarrow\rm{P=\dfrac{50}{154}}$

$\longrightarrow\rm\green{P=0.325\ Pa}$

Hence, the pressure exerted on circular disc is 0.325 Pa.

Answer 2

✯✯ QUESTION ✯✯

The force acting on a circular disc of radius 7m is given 50N. Find the pressure.

━━━━━━━━━━━━━━━━━━━━

✰✰ ANSWER ✰✰

$\longmapsto\tt{Radius(r)=7m}$

$\longmapsto\tt{Force(F)=50N}$

➮Firstly Calculate the Area : -

➥Using Formula : -

$\longmapsto\tt{\small{\boxed{\bold{\bold{\blue{\sf{Area\:of\:Circle=\pi{{r}^{2}}}}}}}}}$

➥Putting Values : -

$\longmapsto\tt{Area=\dfrac{22}{\cancel{7}}\times{{\cancel{7}}}\times{7}}$

$\longmapsto\tt{22\times{7}}$

$\longmapsto\tt\bold{154{m}^{2}}$

☛So , The area of Ciricular Disc is 154m²..

_______________________

➮Now ,

➥Using Formula : -

$\longmapsto\tt{\small{\boxed{\bold{\bold{\orange{\sf{Pressure=\dfrac{Force}{Area}}}}}}}}$

➥Putting Values : -

$\longmapsto\tt{Pressure=\cancel\dfrac{50}{154}}$

$\longmapsto\tt\bold{Pressure=0.32P}$

☛So , The Pressure is 0.32 Pascal...