Question

what pressure in N/m2 would be exerted if a 65 kg person were sitting on a stool with a seat diameter of 12 inches?

Answer 1

d = diameter of the seat = 12 inch

we know that , 1 inch = 0.0254 m

hence

d = diameter of the seat = 12 inch = 12 (0.0254) m = 0.305 m

r = radius of seat = diameter/2 = d/2 = 0.305/2 = 0.1525 m

A = area of seat = πr²

m = mass of the person = 65 kg

g = acceleration due to gravity = 9.8 m/s²

F = force due to weight of person on the seat = mg

pressure on the seat is given as

P = F/A

P = mg/A

P = mg/(πr² )

inserting the values

P = (65 x 9.8)/((3.14) (0.1525)²)

P = 8723.1 N/m²