CATAGORY: Mechanics QUESTION: The radius bone in a forearm has an average effective cross-sectional area of 1.33 x 10 to the -4 meters squared. How much compressive force can it withstand before fracturing?
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There is a maximum compressional STRESS that bone can withstand Your text book should have the value that you need to use in a table or in the text book Lets call that value STRESS(bone). The stress is related to force ansd area via (1) STRESS(bone) = F/A Where F is the maximum force and A is the cross sectional area of the bone. Solving for F gives (2) F = STRESS(bone) A In your case A =1.33 x 10^4 m^2 but without the value for STRESS(bone) that is as far as we can go. So find the maximum STRESS(bone) in your text and multiply by the cross sectional area A and that will give you F. Make sure you get the right units. If A is meters squared then STRESS(bone) (or whatever your book calls it) should be Newtons per meter squared.