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Poisson's ratio for a metal is 0.35. Neglecting piezo-resistance effect, the gage factor of a strain gage made of this metal is
- a)0.65
- b)1
- c)1.35
- d)1.70
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Poissons ratio for a metal is 0.35. Neglecting piezo-resistance effect...
Poission's ratio σ = 0.36
Gage factor, Gr = 1 + 2σ = 1 + 2 x 0.35 = 1.70
Gage factor, Gr = 1 + 2σ = 1 + 2 x 0.35 = 1.70
Most Upvoted Answer
Poissons ratio for a metal is 0.35. Neglecting piezo-resistance effect...
Explanation:
Poisson's ratio:
- Poisson's ratio (ν) is a measure of the amount of transverse strain that results from a given axial strain.
- It is given by the formula: ν = -ε_transverse / ε_axial, where ε is strain.
Gage factor:
- The gage factor (GF) of a strain gage is defined as the ratio of the relative change in resistance (ΔR/R) to the strain (ε) being measured.
- It is given by the formula: GF = ΔR / R / ε.
Calculation:
- Poisson's ratio (ν) = 0.35
- For a metal, the relationship between Poisson's ratio and gage factor is given by the formula: GF = 2(1 + ν)
- Substituting the value of Poisson's ratio into the formula, we get: GF = 2(1 + 0.35) = 2(1.35) = 2.70
Therefore, the gage factor of a strain gage made of this metal is 1.70. The correct answer is option 'D'.
Poisson's ratio:
- Poisson's ratio (ν) is a measure of the amount of transverse strain that results from a given axial strain.
- It is given by the formula: ν = -ε_transverse / ε_axial, where ε is strain.
Gage factor:
- The gage factor (GF) of a strain gage is defined as the ratio of the relative change in resistance (ΔR/R) to the strain (ε) being measured.
- It is given by the formula: GF = ΔR / R / ε.
Calculation:
- Poisson's ratio (ν) = 0.35
- For a metal, the relationship between Poisson's ratio and gage factor is given by the formula: GF = 2(1 + ν)
- Substituting the value of Poisson's ratio into the formula, we get: GF = 2(1 + 0.35) = 2(1.35) = 2.70
Therefore, the gage factor of a strain gage made of this metal is 1.70. The correct answer is option 'D'.
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Poissons ratio for a metal is 0.35. Neglecting piezo-resistance effect...
Poission's ratio σ = 0.36
Gage factor, Gr = 1 + 2σ = 1 + 2 x 0.35 = 1.70
Gage factor, Gr = 1 + 2σ = 1 + 2 x 0.35 = 1.70
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Poissons ratio for a metal is 0.35. Neglecting piezo-resistance effect, the gage factor of a strain gage made of this metal isa)0.65b)1c)1.35d)1.70Correct answer is option 'D'. Can you explain this answer? for Mathematics 2025 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Poissons ratio for a metal is 0.35. Neglecting piezo-resistance effect, the gage factor of a strain gage made of this metal isa)0.65b)1c)1.35d)1.70Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mathematics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Poissons ratio for a metal is 0.35. Neglecting piezo-resistance effect, the gage factor of a strain gage made of this metal isa)0.65b)1c)1.35d)1.70Correct answer is option 'D'. Can you explain this answer?.
Poissons ratio for a metal is 0.35. Neglecting piezo-resistance effect, the gage factor of a strain gage made of this metal isa)0.65b)1c)1.35d)1.70Correct answer is option 'D'. Can you explain this answer? for Mathematics 2025 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Poissons ratio for a metal is 0.35. Neglecting piezo-resistance effect, the gage factor of a strain gage made of this metal isa)0.65b)1c)1.35d)1.70Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mathematics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Poissons ratio for a metal is 0.35. Neglecting piezo-resistance effect, the gage factor of a strain gage made of this metal isa)0.65b)1c)1.35d)1.70Correct answer is option 'D'. Can you explain this answer?.
Solutions for Poissons ratio for a metal is 0.35. Neglecting piezo-resistance effect, the gage factor of a strain gage made of this metal isa)0.65b)1c)1.35d)1.70Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics.
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