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A hollow shaft having outer diameter equal to 3 times the inner diameter. It transmits 40 kW power at 2500 RPM. If the maximum permissible shear stress is 32 MPa, then outer diameter is
  • a)
    11.29 mm
  • b)
    23.04 mm
  • c)
    29.07 mm
  • d)
    45.16 mm
Correct answer is option 'C'. Can you explain this answer?
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A hollow shaft having outer diameter equal to 3 times the inner diamet...
Given data:
- Power transmitted, P = 40 kW
- Speed, N = 2500 RPM
- Maximum permissible shear stress, τ_max = 32 MPa
- Outer diameter = 3 times the inner diameter

Formula used:
- Power transmitted by the shaft, P = (2πNT)/60
- Maximum shear stress, τ_max = (16P)/(πd^3)

Calculations:
- Convert power into watts: P = 40 kW = 40,000 W
- Substitute the values in the power formula: 40,000 = (2π x 2500 x T)/60
- Solving for T gives T = 3.214 Nm
- Substitute the values in the shear stress formula: 32 x 10^6 = (16 x 40,000)/(πd^3)
- Solving for d gives d ≈ 29.07 mm
Therefore, the outer diameter of the hollow shaft is approximately 29.07 mm, which corresponds to option (c).
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A hollow shaft having outer diameter equal to 3 times the inner diameter. It transmits 40 kW power at 2500 RPM. If the maximum permissible shear stress is 32 MPa, then outer diameter isa)11.29 mmb)23.04 mmc)29.07 mmd)45.16 mmCorrect answer is option 'C'. Can you explain this answer?
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A hollow shaft having outer diameter equal to 3 times the inner diameter. It transmits 40 kW power at 2500 RPM. If the maximum permissible shear stress is 32 MPa, then outer diameter isa)11.29 mmb)23.04 mmc)29.07 mmd)45.16 mmCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A hollow shaft having outer diameter equal to 3 times the inner diameter. It transmits 40 kW power at 2500 RPM. If the maximum permissible shear stress is 32 MPa, then outer diameter isa)11.29 mmb)23.04 mmc)29.07 mmd)45.16 mmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hollow shaft having outer diameter equal to 3 times the inner diameter. It transmits 40 kW power at 2500 RPM. If the maximum permissible shear stress is 32 MPa, then outer diameter isa)11.29 mmb)23.04 mmc)29.07 mmd)45.16 mmCorrect answer is option 'C'. Can you explain this answer?.
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