When sewing with a needle, the needle applies a pressure of 2 Newtons. With a needle tip area of 0.001 mm2.

When sewing with a needle, the needle applies a pressure of 2 Newtons. With a needle tip area of 0.001 mm2. How much pressure does the material have?

Given:

F = 2 Newtons – the force with which the needle presses when sewing;

S = 0.001 square millimeter – the area of the needle tip.

It is required to determine P (Pascal) – the pressure exerted by the needle on the material.

Let’s convert the units of measurement of area from a square millimeter to a square meter:

S = 0.001 mm2 = 0.001 * 10 ^ -6 = 10 ^ -9 m2.

Then the pressure exerted by the needle on the material will be equal to:

P = F / S;

P = 2/10 ^ -9 = 2 * 10 ^ 9 Pascal = 2000 MPa.

Answer: when sewing, the needle exerts a pressure of 2000 MPa on the material.