Question

Estimate the force needed to break a bone in your arm.

   Estimate the force needed to break a bone in your arm.

College Physics

College Physics

Roger A. Freedman;… 2nd Edition

Chapter 9, Problem 33

Instant Answer

Solved by Expert Hubert Agamasu

10/03/2021

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The strength of a bone is determined by its ultimate tensile strength, which is the maximum amount of stress that a material can withstand while being stretched or pulled before breaking. Show more…

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Estimate the force needed to break a bone in your arm.

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Key Concepts

Order-of-Magnitude Estimation

This is a problem-solving technique used to arrive at a rough approximation using fundamental principles and simplifications. In estimating the force needed to break a bone, order-of-magnitude estimation helps in making reasonable assumptions to simplify complex real-world biomechanical parameters.

Cross-Sectional Area

The cross-sectional area plays a key role in calculating stress because stress is defined as the force divided by the area over which the force is applied. Estimating the area of the bone's cross-section is vital to determining the force required to exceed the bone's material strength.

Biomechanics

Biomechanics applies principles of mechanics to biological systems, analyzing forces and structural properties of biological tissues. Understanding the mechanical behavior of bones under load is essential in estimating the force required for a fracture, integrating physical principles with biological context.

Stress and Strain

This concept involves understanding how forces cause deformation in materials, where stress is the force per unit area and strain is the measurement of deformation. In the context of bone fracture, the bone must experience stress beyond its failure point, making stress and strain central to estimating when a break will occur.

Material Strength

Material strength refers to the maximum stress a material can withstand before failure. For bones, the ultimate strength (whether tensile or compressive) is critical in determining the threshold at which the bone will fracture under an applied force.

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