Question

If you unbend a paper clip made from 1.5 millimeter diameter wire and push one end against the wall, what force must you apply to give a pressure of 120 atmospheres

Answer 1

Answer:

The force is  $F = 21.48 \ N$

Explanation:

From the question we are told that

   The diameter of the wire is  $d = 1.5 \ mm = 1.5 *10^{-3} \ m$

     The  pressure is  $P = 120 \ a.t.m = 120 * 101.3 *10^{3} = 12156000 Pa$

Generally the radius of the of the wire is  

     $r = \frac{d}{2}$

=>    $r = \frac{ 1.5 *10^{-3}}{2}$  

=>    $r = 7.5 *10^{-4} \ m$

The Area is evaluated as

     $A = \pi r^2$

=>    $A = 3.142 * 7.5 *10^{-4}$

=>    $A = 1.7673*10^{-6} \ m^2$

Generally pressure is mathematically represented as

     $P = \frac{F}{A }$

=>   $F = P* A$

=>    $F = 12156000 * 1.767*10^{-6}$

=>    $F = 21.48 \ N$