2. We will later learn that bone strength (S), which is defined to be the maximum...

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2. We will later learn that bone strength (S), which is defined to be the maximum weight that a bone can support, is proportional to the bone's cross sectional area (A). Bones need to support weight as a person grows. Assuming the density (weight (W) per volume (V)) of a person is roughly constant during a period of growth, their weight is proportional to their volume (V). We will also assume that person volume scales proportionally to bone length (13). (Please note that the bone length differs from its radius.) a. How should the bone's cross sectional area (4) scale relative to the bone's length (1) in order to support weight as the person grows? That is, A x I*. What should the exponent x be? 2. We will later learn that bone strength (S), which is defined to be the maximum weight that a bone can support, is proportional to the bone's cross sectional area (A). Bones need to support weight as a person grows. Assuming the density (weight (W) per volume (V)) of a person is roughly constant during a period of growth, their weight is proportional to their volume (V). We will also assume that person volume scales proportionally to bone length (13). (Please note that the bone length differs from its radius.) a. How should the bone's cross sectional area (4) scale relative to the bone's length (1) in order to support weight as the person grows? That is, A x I*. What should the exponent x be?

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To determine how the bones crosssectional area A should scale relative to the bones length l in orde... View the full answer