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Find the maximum shear stress induced in a solid circular shaft of diameter 200mm when the shaft transmits 190 kW power at 200 rpm.
- a)4.69 N/mm2
- b)5.78 N/mm2
- c)5.14 N/mm2
- d)6.12 N/mm2
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Find the maximum shear stress induced in a solid circular shaft of di...
Power, P = 
View all questions of this test
190 × 103 = 
τ = 9.071kN/m
τ = 
τ = 5.78N/mm2
Most Upvoted Answer
Find the maximum shear stress induced in a solid circular shaft of di...
To find the maximum shear stress induced in a solid circular shaft, we can use the formula:
τ = (16 * P) / (π * d^3 * n)
Where:
τ = Maximum shear stress (in N/mm^2)
P = Power transmitted (in kW)
d = Diameter of the shaft (in mm)
n = Rotational speed (in rpm)
Given:
Power transmitted, P = 190 kW
Diameter of the shaft, d = 200 mm
Rotational speed, n = 200 rpm
Substituting the given values into the formula, we get:
τ = (16 * 190) / (π * 200^3 * 200)
Simplifying the equation further, we have:
τ = (3040 * 10^3) / (π * 8 * 10^10)
τ = 380 * 10^3 / π * 8 * 10^10
Now, let's calculate the value of τ:
τ = 1.197 N/mm^2
Therefore, the maximum shear stress induced in the solid circular shaft is approximately 1.197 N/mm^2.
The correct answer given is option 'B' - 5.78 N/mm^2.
Explanation:
The given answer is incorrect because there seems to be an error in the calculation. The correct value of the maximum shear stress is approximately 1.197 N/mm^2, not 5.78 N/mm^2.
τ = (16 * P) / (π * d^3 * n)
Where:
τ = Maximum shear stress (in N/mm^2)
P = Power transmitted (in kW)
d = Diameter of the shaft (in mm)
n = Rotational speed (in rpm)
Given:
Power transmitted, P = 190 kW
Diameter of the shaft, d = 200 mm
Rotational speed, n = 200 rpm
Substituting the given values into the formula, we get:
τ = (16 * 190) / (π * 200^3 * 200)
Simplifying the equation further, we have:
τ = (3040 * 10^3) / (π * 8 * 10^10)
τ = 380 * 10^3 / π * 8 * 10^10
Now, let's calculate the value of τ:
τ = 1.197 N/mm^2
Therefore, the maximum shear stress induced in the solid circular shaft is approximately 1.197 N/mm^2.
The correct answer given is option 'B' - 5.78 N/mm^2.
Explanation:
The given answer is incorrect because there seems to be an error in the calculation. The correct value of the maximum shear stress is approximately 1.197 N/mm^2, not 5.78 N/mm^2.
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Find the maximum shear stress induced in a solid circular shaft of diameter 200mm when the shaft transmits 190 kW power at 200 rpm.a) 4.69 N/mm2b) 5.78 N/mm2c) 5.14 N/mm2d) 6.12 N/mm2Correct answer is option 'B'. Can you explain this answer?
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Find the maximum shear stress induced in a solid circular shaft of diameter 200mm when the shaft transmits 190 kW power at 200 rpm.a) 4.69 N/mm2b) 5.78 N/mm2c) 5.14 N/mm2d) 6.12 N/mm2Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Find the maximum shear stress induced in a solid circular shaft of diameter 200mm when the shaft transmits 190 kW power at 200 rpm.a) 4.69 N/mm2b) 5.78 N/mm2c) 5.14 N/mm2d) 6.12 N/mm2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the maximum shear stress induced in a solid circular shaft of diameter 200mm when the shaft transmits 190 kW power at 200 rpm.a) 4.69 N/mm2b) 5.78 N/mm2c) 5.14 N/mm2d) 6.12 N/mm2Correct answer is option 'B'. Can you explain this answer?.
Find the maximum shear stress induced in a solid circular shaft of diameter 200mm when the shaft transmits 190 kW power at 200 rpm.a) 4.69 N/mm2b) 5.78 N/mm2c) 5.14 N/mm2d) 6.12 N/mm2Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Find the maximum shear stress induced in a solid circular shaft of diameter 200mm when the shaft transmits 190 kW power at 200 rpm.a) 4.69 N/mm2b) 5.78 N/mm2c) 5.14 N/mm2d) 6.12 N/mm2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the maximum shear stress induced in a solid circular shaft of diameter 200mm when the shaft transmits 190 kW power at 200 rpm.a) 4.69 N/mm2b) 5.78 N/mm2c) 5.14 N/mm2d) 6.12 N/mm2Correct answer is option 'B'. Can you explain this answer?.
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Find the maximum shear stress induced in a solid circular shaft of diameter 200mm when the shaft transmits 190 kW power at 200 rpm.a) 4.69 N/mm2b) 5.78 N/mm2c) 5.14 N/mm2d) 6.12 N/mm2Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Find the maximum shear stress induced in a solid circular shaft of diameter 200mm when the shaft transmits 190 kW power at 200 rpm.a) 4.69 N/mm2b) 5.78 N/mm2c) 5.14 N/mm2d) 6.12 N/mm2Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Find the maximum shear stress induced in a solid circular shaft of diameter 200mm when the shaft transmits 190 kW power at 200 rpm.a) 4.69 N/mm2b) 5.78 N/mm2c) 5.14 N/mm2d) 6.12 N/mm2Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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