Question

A 480 mm long thighbone (femur), which is the largest and longest bone in the human body, has a cross-sectional area of $7.7 \times 10^{-4} \text{ m}^2$. A safety factor of 4 applies, and the maximum compressional stress that a bone can withstand is $1.6 \times 10^8 \text{ N/m}^2$ before it breaks. Young's Modulus ($E$) of a bone at room temperature is $15 \times 10^9 \text{ Pa}$. What will be the minimum cross-sectional area that a thigh bone must have to support a weight of $1.2 \times 10^5 \text{ N}$? A. $\frac{1.2 \times 10^5}{0.4 \times 10^8} \text{ m}^2$ B. $(480 \text{ mm})^2$ C. $7.7 \times 10^{-4} \text{ m}^2$, because the cross sectional area remains constant. D. $\frac{1.2 \times 10^5}{1.6 \times 10^8} \text{ m}^2$ E. $\frac{1.2 \times 10^5}{15 \times 10^9} \text{ m}^2$

Name: a 480 mm long thighbone femur which is the largest and longest bone in the human body has a cross sectional area of 77 times 10 4 text m2 a safety factor of 4 applies and the maximum compres 63622
Uploaded: 2022-05-21T02:54:27-08:00
Duration: 1 min 42 s
Channel: Khoobchandra Agrawal
Description: a 480 mm long thighbone femur which is the largest and longest bone in the human body has a cross sectional area of 77 times 10 4 text m2 a safety factor of 4 applies and the maximum compres 63622

          A 480 mm long thighbone (femur), which is the largest and longest bone in the human body, has a cross-sectional area of $7.7 \times 10^{-4} \text{ m}^2$. A safety factor of 4 applies, and the maximum compressional stress that a bone can withstand is $1.6 \times 10^8 \text{ N/m}^2$ before it breaks. Young's Modulus ($E$) of a bone at room temperature is $15 \times 10^9 \text{ Pa}$. What will be the minimum cross-sectional area that a thigh bone must have to support a weight of $1.2 \times 10^5 \text{ N}$?
A. $\frac{1.2 \times 10^5}{0.4 \times 10^8} \text{ m}^2$
B. $(480 \text{ mm})^2$
C. $7.7 \times 10^{-4} \text{ m}^2$, because the cross sectional area remains constant.
D. $\frac{1.2 \times 10^5}{1.6 \times 10^8} \text{ m}^2$
E. $\frac{1.2 \times 10^5}{15 \times 10^9} \text{ m}^2$

a 480 mm long thighbone femur which is the largest and longest bone in the human body has a cross sectional area of 77 times 10 4 text m2 a safety factor of 4 applies and the maximum compres 63622

Added by Daniel D.

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