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A 300 mm long copper wire of uniform cross-section is pulled in tension so that a maximum tensile stress of 270 MPa is developed within the wire. The entire deformation of the wire remains linearly elastic. The elastic modulus of copper is 100 GPa. The resultant elongation (in mm) is ________.
(Important - Enter only the numerical value in the answer)
Correct answer is '0.81'. Can you explain this answer?
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A 300 mm long copper wire of uniform cross-section is pulled in tensio...
Given l = 300 mm
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A 300 mm long copper wire of uniform cross-section is pulled in tensio...
Given data:
- Length of copper wire (L) = 300 mm
- Maximum tensile stress (σ) = 270 MPa
- Elastic modulus of copper (E) = 100 GPa
Formula:
The formula to calculate the elongation (ΔL) of a wire under tensile stress is given by Hooke's law:
ΔL = (σ * L) / (E)
Calculation:
Substituting the given values into the formula:
ΔL = (270 MPa * 300 mm) / (100 GPa)
Converting MPa to Pa and mm to m:
ΔL = (270 * 10^6 Pa * 300 * 10^-3 m) / (100 * 10^9 Pa)
Simplifying the expression:
ΔL = (0.27 * 300) / 100
ΔL = 0.81 mm
Therefore, the resultant elongation of the copper wire under a maximum tensile stress of 270 MPa is 0.81 mm.
- Length of copper wire (L) = 300 mm
- Maximum tensile stress (σ) = 270 MPa
- Elastic modulus of copper (E) = 100 GPa
Formula:
The formula to calculate the elongation (ΔL) of a wire under tensile stress is given by Hooke's law:
ΔL = (σ * L) / (E)
Calculation:
Substituting the given values into the formula:
ΔL = (270 MPa * 300 mm) / (100 GPa)
Converting MPa to Pa and mm to m:
ΔL = (270 * 10^6 Pa * 300 * 10^-3 m) / (100 * 10^9 Pa)
Simplifying the expression:
ΔL = (0.27 * 300) / 100
ΔL = 0.81 mm
Therefore, the resultant elongation of the copper wire under a maximum tensile stress of 270 MPa is 0.81 mm.
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A 300 mm long copper wire of uniform cross-section is pulled in tension so that a maximumtensile stress of 270 MPa is developed within the wire. The entire deformation of the wireremains linearly elastic. The elastic modulus of copper is 100 GPa. The resultant elongation (inmm) is ________.(Important - Enter only the numerical value in the answer)Correct answer is '0.81'. Can you explain this answer?
Question Description
A 300 mm long copper wire of uniform cross-section is pulled in tension so that a maximumtensile stress of 270 MPa is developed within the wire. The entire deformation of the wireremains linearly elastic. The elastic modulus of copper is 100 GPa. The resultant elongation (inmm) is ________.(Important - Enter only the numerical value in the answer)Correct answer is '0.81'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A 300 mm long copper wire of uniform cross-section is pulled in tension so that a maximumtensile stress of 270 MPa is developed within the wire. The entire deformation of the wireremains linearly elastic. The elastic modulus of copper is 100 GPa. The resultant elongation (inmm) is ________.(Important - Enter only the numerical value in the answer)Correct answer is '0.81'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 300 mm long copper wire of uniform cross-section is pulled in tension so that a maximumtensile stress of 270 MPa is developed within the wire. The entire deformation of the wireremains linearly elastic. The elastic modulus of copper is 100 GPa. The resultant elongation (inmm) is ________.(Important - Enter only the numerical value in the answer)Correct answer is '0.81'. Can you explain this answer?.
A 300 mm long copper wire of uniform cross-section is pulled in tension so that a maximumtensile stress of 270 MPa is developed within the wire. The entire deformation of the wireremains linearly elastic. The elastic modulus of copper is 100 GPa. The resultant elongation (inmm) is ________.(Important - Enter only the numerical value in the answer)Correct answer is '0.81'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A 300 mm long copper wire of uniform cross-section is pulled in tension so that a maximumtensile stress of 270 MPa is developed within the wire. The entire deformation of the wireremains linearly elastic. The elastic modulus of copper is 100 GPa. The resultant elongation (inmm) is ________.(Important - Enter only the numerical value in the answer)Correct answer is '0.81'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 300 mm long copper wire of uniform cross-section is pulled in tension so that a maximumtensile stress of 270 MPa is developed within the wire. The entire deformation of the wireremains linearly elastic. The elastic modulus of copper is 100 GPa. The resultant elongation (inmm) is ________.(Important - Enter only the numerical value in the answer)Correct answer is '0.81'. Can you explain this answer?.
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