An athlete weighing 80 kg glides on skates. Determine the width of the skate blade if the skate length is 40 cm

An athlete weighing 80 kg glides on skates. Determine the width of the skate blade if the skate length is 40 cm, and the pressure exerted by the athlete on the ice is 333 kPa?

M = 80 kilograms;

b = 0.4 meters;

P = 333 kPa = 333000 Pa;

Find: а (blade width) -?

Decision:

P = F / S;
F = M * g;
P = (M * g) / S;
S = (M * g) / P;
S = (80 * 10) / 333000 = 0.0024 m2;
S = a * b;
a = S / b;
a = 0.0024 (meters2) / 0.4 (meters) = 0.006 meters.

Answer: 0.006 meters.