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Pad 4:11 AM 28% edugen.wileyplus.com FULL SCREEN PRINTER VERSIONBACK NEXT ASSIGNMENT RESOURCES Chapter 10, Problem 86 HW10 PHYS2001 Fall 2017 An 8.64-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m2) wire is being whirled in a circle at a constant tangential speed of 14.0 m/s. The stone is moving on the surface of a frictionless horizontal table. The wire is 3.26 m long and has a radius of 3.95 x 103 m. Find the strain in the wire oncepts Focus on Concepts, Number Units Chapter 10. Problem 04 the tolerance is + GO Chapter 10, Problem 07 LINK TO TEXT LINK TO TEXT Cha Chapter Problem Question Attempts: Unlimited SAVE FOR LATER SUBMIT ANSWER Chapter 10, Problem GO hapter oblem Problem 43 Chapter 10, Problem 45 GO hapter Chapter 10, Problem 86 VI Review Results by Study ObjectiveExplanation / Answer
The centripetal force F needed to keep a mass m moving in a circular path of radius r with a tangential velocity v is given by:
F = mv²/r
F = 8.64*14²/3.26
F = 519.5 N
Cross sectional area A of a wire of radius R is given by:
A = R²
A = * (3.95*10^-3)²
A = 4.9 * 10^-5 m²
Stress = F / A
Stress = 519.5/(4.9 * 10^-5)
Stress = 1.06 * 10^7 N/m²
Young's modulus = [stress] / [strain]
This rearranges to:
strain = [stress] / [Young's modulus]
strain = 1.06* 10^7 / (2.0 * 10^11)
strain = 5.3* 10^-5
Hope this helps......!!!
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