Question

In a materials testing laboratory, a metal wire made from a new alloy is found to break when a tensile force of $90.8 \mathrm{~N}$ is applied perpendicular to each end. If the diameter of the wire is $1.84 \mathrm{~mm},$ what is the breaking stress of the alloy?

Name: Problem 43, Chapter 11: University Physics with Modern Physics
Uploaded: 2021-01-06T15:00:01-08:00
Duration: 1 min 35 s
Channel: Khoobchandra Agrawal
Description: In a materials testing laboratory, a metal wire made from a new alloy is found to break when a tensile force of 90.8 N is applied perpendicular to each end. If the diameter of the wire is 1.84 mm, what is the breaking stress of the alloy?

   In a materials testing laboratory, a metal wire made from a new alloy is found to break when a tensile force of $90.8 \mathrm{~N}$ is applied perpendicular to each end. If the diameter of the wire is $1.84 \mathrm{~mm},$ what is the breaking stress of the alloy?

University Physics with Modern Physics

Roger A. Freedman,… 15th Edition

Chapter 11, Problem 43

Instant Answer

Solved by Expert Khoobchandra Agrawal

01/06/2021

Step 1

The cross-sectional area (A) of a circular wire can be calculated using the formula A = π(d/2)^2, where d is the diameter of the wire. Given the diameter d = 1.84 mm, we first need to convert it to meters: d = 1.84 mm × (1 m / 1000 mm) = 0.00184 m Now, we can Show more…

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In a materials testing laboratory, a metal wire made from a new alloy is found to break when a tensile force of $90.8 \mathrm{~N}$ is applied perpendicular to each end. If the diameter of the wire is $1.84 \mathrm{~mm},$ what is the breaking stress of the alloy?

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Key Concepts

Stress

Stress is defined as the force applied per unit area of a material. It is a fundamental concept in mechanics of materials, where understanding the stress on a material helps determine how it will behave under different loading conditions, including whether it will deform or fail.

Tensile Testing

Tensile testing refers to an experimental procedure where a material is subjected to a controlled tension load until it reaches a failure point. This test is used to determine critical mechanical properties such as breaking stress, yield strength, and ultimate tensile strength, which are vital for design and analysis in engineering.

Cross-sectional Area

The cross-sectional area of a material, especially when the section is circular, is calculated using the formula for the area of a circle (? times the radius squared). This area is a key factor in converting an applied force to stress, as stress is determined by dividing the force by this area.

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