Question

A pressure cooker is a covered pot sealed everywhere except for a small circular opening in the top. A small weight placed over this opening determines the pressure at which steam is released from the pot. Suppose that the radius of the opening is 0.491 mm and the weight is 0.763 N. Find the maximum pressure inside the pot.

Answer 1

10^6 Pa

Step-by-step explanation:

Radius of the opening, r = 0.491 mm = 0.491 x 10^-3 m

Force, F = 0.763 N

Pressure is defined as the thrust acting per unit area. Its SI unit is Pascal.

Pressure = force / Area

Area, A = πr² = 3.14 x 0.491 x 10^-3 x 0.491 x 10^-3 = 7.57 x 10^-7 m^2

Pressure

`P = (0.763)/(7.57 * 10^(-7))`

P = 1 x 10^6 Pascal

Thus, the pressure inside the pot is 10^6 Pa.