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A band brake having band width of 90 mm, drum diameter of 300 mm, coefficient of friction 0.3 and angle of wrap 270o is required to exert friction torque of 1200 Nm. The maximum tension developed in the band is __________ kN.
  • a)
    10.35
  • b)
    10.78
Correct answer is between ' 10.35, 10.78'. Can you explain this answer?
Verified Answer
A band brake having band width of 90 mm, drum diameter of 300 mm, coe...
Given:μ = 0.3, r = 150 mm = 0.15 m
Torque = 1200 = [T1 - T2]r
From equation
Now,T1 = 10571.5 = 10.57 kN
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Most Upvoted Answer
A band brake having band width of 90 mm, drum diameter of 300 mm, coe...
Band Brake Tension Calculation
1. Given parameters:
- Band width (b) = 90 mm
- Drum diameter (D) = 300 mm
- Coefficient of friction (μ) = 0.3
- Angle of wrap (θ) = 270°
- Friction torque (T) = 1200 Nm
2. Calculating effective radius (r):
- The effective radius is given by the formula: r = (D + (b/2)) / 1000
- Substituting the values, r = (300 + (90/2)) / 1000 = 0.315 m
3. Calculating maximum tension in the band (Tmax):
- The maximum tension in the band is given by the formula: Tmax = (T * 2) / (μ * r * sin(θ))
- Substituting the values, Tmax = (1200 * 2) / (0.3 * 0.315 * sin(270°))
- Tmax = 2400 / (0.3 * 0.315 * 1) = 25454.54 N
4. Converting tension to kN:
- Converting the tension from N to kN, Tmax = 25454.54 / 1000 = 25.45454 kN
5. Conclusion:
- The maximum tension developed in the band is approximately 25.45 kN.
- Therefore, the correct answer falls between 10.35 kN and 10.78 kN.
Free Test
Community Answer
A band brake having band width of 90 mm, drum diameter of 300 mm, coe...
Given:μ = 0.3, r = 150 mm = 0.15 m
Torque = 1200 = [T1 - T2]r
From equation
Now,T1 = 10571.5 = 10.57 kN
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A band brake having band width of 90 mm, drum diameter of 300 mm, coefficient of friction 0.3 and angle of wrap 270o is required to exert friction torque of 1200 Nm. The maximum tension developed in the band is __________ kN.a) 10.35b) 10.78Correct answer is between ' 10.35, 10.78'. Can you explain this answer?
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A band brake having band width of 90 mm, drum diameter of 300 mm, coefficient of friction 0.3 and angle of wrap 270o is required to exert friction torque of 1200 Nm. The maximum tension developed in the band is __________ kN.a) 10.35b) 10.78Correct answer is between ' 10.35, 10.78'. 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 A band brake having band width of 90 mm, drum diameter of 300 mm, coefficient of friction 0.3 and angle of wrap 270o is required to exert friction torque of 1200 Nm. The maximum tension developed in the band is __________ kN.a) 10.35b) 10.78Correct answer is between ' 10.35, 10.78'. 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 A band brake having band width of 90 mm, drum diameter of 300 mm, coefficient of friction 0.3 and angle of wrap 270o is required to exert friction torque of 1200 Nm. The maximum tension developed in the band is __________ kN.a) 10.35b) 10.78Correct answer is between ' 10.35, 10.78'. Can you explain this answer?.
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