Saturday, July 25, 2009

High heeled shoe physics question?

High-heeled shoes can cause tremendous pressure to be applied to a floor. Suppose the radius of a heel is 5.46 x 10^-3 m. At times during a normal walking motion, nearly the entire body weight acts perpendicular to the surface of such a heel. Find the pressure that is applied to the floor under the heel because of the weight of 49.1-kg woman.

High heeled shoe physics question?
Find the force applied by a 49.1 kg woman (due to gravity) by multiplying by gravitational acceleration (9.8 m/sec^2).





Divide by the area the force is spread out over. Assuming the heel is a circular shape (otherwise, why would they use radius), you need to find the area of a circle with a radius of 5.46 mm (5.46 x 10^-3 m).





The result is a little over 5 million Newtons per square meter (or a little over 745 pounds per square inch).
Reply:It's not important. Women in heels are going to walk all over you anyway no matter how much pressure they apply.



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