An Aluminum cable of length 3.5 m has 15,000 N tensile force acting on it, if the wire is only allowed to be stretched by 1 mm before it breaks, 29. what must be the radius of the wire if the Young's modulus of Al is 6.9 x 10¹⁰ N/m² ? 30. what is its tensile stress at this point?

An Aluminum cable of length 3.5 m has 15,000 N tensile force acting on it, if the wire is only allowed to be stretched by 1 mm before it breaks, 29. what must be the radius of the wire if the Young's modulus of Al is 6.9 x 10¹⁰ N/m² ? 30. what is its tensile stress at this point?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 40PQ: A brass wire and a steel wire, both of the same length, are extended by 1.0 mm under the same force....

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Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

An Aluminum cable of length 3.5 m has 15,000 N tensile force acting on it, if the wire is only allowed
to be stretched by 1 mm before it breaks,
29. what must be the radius of the wire if the Young's modulus of Al is 6.9 x 10¹0 N/m²?
30. what is its tensile stress at this point?

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