Question

A large man sits on a four-legged chair with his feet off the floor. The combined mass of the man and chair is 95.0 kg. If the chair legs are circular and have a radius of 0.500 cm at the bottom, what pressure does each leg exert on the floor?

Answer 1

$P = \frac{F}{S}$

$m = 95 kg$

$g = 9.8\frac{m}{s^2}$

$F = mg = 95*9.8= 931N$

$r = 0.5cm= 0.5*10^{-2}m$

$n = 4$

$S = n\pi r^2= 4*\pi*0.25*10^{-4}= \pi*10^{-4}m^2$

$P = \frac{F}{S}= \frac{931}{\pi *10^{-4}}\approx2.96*10^6Pa$

$\text{Answer: }2.96*10^6\ Pa$