Young's Modulus Calculation for Nylon Rope Cross Sectional Area

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SUMMARY

The discussion focuses on calculating Young's Modulus for a nylon rope with a length of 21 m and a diameter of 1.4 cm. The correct formula for the cross-sectional area, assuming a circular cross-section, is πr², where the radius must be converted to standard units. The radius of the rope is 0.7 cm, which must be converted to meters for the final calculation of the area in m². Participants emphasize the importance of unit consistency in calculations.

PREREQUISITES
  • Understanding of Young's Modulus and its application in material science.
  • Knowledge of geometric formulas, specifically for calculating the area of a circle.
  • Familiarity with unit conversion, particularly between centimeters and meters.
  • Basic algebra skills for manipulating equations.
NEXT STEPS
  • Research the properties of nylon and its applications in engineering.
  • Learn about Young's Modulus calculations for different materials.
  • Explore geometric principles related to cross-sectional area calculations.
  • Study unit conversion techniques in physics and engineering contexts.
USEFUL FOR

Students in physics or engineering courses, material scientists, and anyone involved in mechanical design or analysis of materials.

kiwikahuna
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Homework Statement


I'm working on a problem that is asking me to find Young's Modulus. I have the right formula and everything that I need but I can't seem to figure out how to find the cross sectional area of a nylon rope. The rope is 21 m long and 1.4 cm in diameter.


Homework Equations





The Attempt at a Solution



Would the cross sectional area be the area: pi(0.7)^2
 
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kiwikahuna said:
Would the cross sectional area be the area: pi(0.7)^2
Assuming that it has a circular cross-section (a reasonable assumption), then the area would be that of a circle (\pi r^2). But be sure to use standard units for the radius.
 
kiwikahuna said:

Homework Statement


I'm working on a problem that is asking me to find Young's Modulus. I have the right formula and everything that I need but I can't seem to figure out how to find the cross sectional area of a nylon rope. The rope is 21 m long and 1.4 cm in diameter.


Homework Equations





The Attempt at a Solution



Would the cross sectional area be the area: pi(0.7)^2


yes (but be careful witt the units. This will be in cm^2. You might need to put it in m^2)

EDIT: Doc Al beat me to it :-)
 

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