Question

. The tip of a drawing pin has an area of 0.001 cm². Find the pressure exerted by it if a force of 100 N is applied by it.​

Answer 1

Given:-

• A tip of pin has an area of 0.001 cm².
• A force of 100N is applied over it.

To Find:-

• The pressure exerted by the force.

Formula Used:-

We know that pressure is equal to thrust by area or just simply force by area , i.e. :

$\large{\underline{\boxed{\red{\tt{\dag Pressure=\dfrac{Force}{Area} }}}}}$

Answer:-

it is given that the tip of a drawing pin has an area of 0.001 cm² and a force of 100 newton is applied over it and we are required to find the pressure exerted by the force.

Here , first let's convert area into SI unit which is m².

Now we know 1m² = 10,000cm² i.e. 1cm² = 1/10,000m²

So 0.001cm² = 0.001 × 1/10⁴m² = 1/10³ m² × 1/10⁴ m².

= 1/10⁷ m² = $\sf{10^{-7}m^2}$

Also force = 100N .

Now putting the respective values in the above formula stated:-

$\sf{\implies Pressure (P) = \dfrac{100N}{10^{-7}m^2}}$

$\sf{\implies Pressure = 100\times 10^7 Pa}$

$\underline{\boxed{\red{\bf{\leadsto Pressure=10^9 Pa}}}}$

Hence the pressure is 10⁹ Pascal .