Pressure cookers have been around for more than 300 years, although their use has strongly declined in recent years (early models had a nasty habit of exploding). How much force…

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asked May 11, 2023 62.6k views

1 Answer

Jacqueline Nolis · Answer 1 · 2023-05-18T02:19:15+0000

First, let's convert the diameter to meters and the pressure to Pascal:

22 cm = 0.22 m

3.2 atm = 3.2 * 101325 Pa = 324240 Pa.

Now, let's find the area of the lid:

$\begin{gathered} A=(\pi d^2)/(4)\\ \\ A=(\pi\cdot0.22^2)/(4)\\ \\ A=0.03801327\text{ m^^b2} \end{gathered}$

To find the force, let's use the pressure formula:

$\begin{gathered} P=(F)/(A)\\ \\ F=P\cdot A\\ \\ F=324240\cdot0.03801327\\ \\ F=12325.42\text{ N} \end{gathered}$