Bone has a Young's modulus of about

1.8 * 10^10 Pa. Under compression, it can

withstand a stress of about 1.53 * 108 Pa before breaking.

Assume that a femur (thigh bone) is 0.5 m

long, and calculate the amount of compression

this bone can withstand before breaking.

Answer in units of mm

Question

Physics

Allisson Clayton

19 September, 01:49

Bone has a Young's modulus of about

1.8 * 10^10 Pa. Under compression, it can

withstand a stress of about 1.53 * 108 Pa before breaking.

Assume that a femur (thigh bone) is 0.5 m

long, and calculate the amount of compression

this bone can withstand before breaking.

Answer in units of mm

+5

Answers (1)

Know the Answer?

Alexandra Vargas · Answer 1

4.25 mm

Explanation:

σ = E ∙ ∆L/L₀

where σ is stress,

E is Young's modulus,

and ∆L/L₀ is strain (∆L is the deflection, L₀ is the initial length).

Plugging in values:

1.53*10⁸ Pa = (1.8*10¹⁰ Pa) ∆L / (500 mm)

∆L = 4.25 mm

Bone has a Young's modulus of about1.8 * 10^10 Pa. Under compression, it canwithstand a stress of about 1.53 * 108 Pa before breaking.Assume that a femur (thigh bone) is 0.5 mlong, and calculate the amount of compressionthis bone can withstand before breaking.Answer in units of mm

Bone has a Young's modulus of about

1.8 * 10^10 Pa. Under compression, it can

withstand a stress of about 1.53 * 108 Pa before breaking.

Assume that a femur (thigh bone) is 0.5 m

long, and calculate the amount of compression

this bone can withstand before breaking.

Answer in units of mm