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Two shafts A and B are made of the same material. The diameter of shaft B is twice that of shaft A The ratio of power which can be transmitted by shaft A to that of shaft B is
[1994]
- a)1/2
- b)1/4
- c)1/8
- d)1/16 [
Correct answer is option 'C'. Can you explain this answer?
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Two shafts A and B are made of the same material. The diameter of shaf...
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Two shafts A and B are made of the same material. The diameter of shaf...
Solution:
Let,
- dA be the diameter of shaft A,
- dB be the diameter of shaft B,
- TA be the power transmitted by shaft A, and
- TB be the power transmitted by shaft B.
Given,
- dB = 2dA
Formula:
- The power transmitted by a shaft of diameter d and torque T is given by the formula, P = (2πNT)/60, where N is the speed of rotation in rpm.
Calculation:
- The power transmitted by shaft A is given by the formula, PA = (2πNA/60)
- The power transmitted by shaft B is given by the formula, PB = (2πNB/60)
Now,
- The torque transmitted by both the shafts will be the same, as they are made of the same material and subjected to the same load.
- Let,
- T be the torque transmitted by both the shafts.
- NA be the speed of rotation of shaft A.
- NB be the speed of rotation of shaft B.
- Then,
- TA = (2πNTA)/60 = T × (dA/2) × (NA/60)
- TB = (2πNTB)/60 = T × (dB/2) × (NB/60) = T × dA × NB/60
- Dividing both the equations, we get
- TA/TB = [(dA/2) × (NA/60)]/[(dA) × (NB/60)]
- TA/TB = 1/(2 × 2) = 1/4
Therefore, the ratio of power which can be transmitted by shaft A to that of shaft B is 1/4.
Hence, option (b) 1/4 is the correct answer.
Let,
- dA be the diameter of shaft A,
- dB be the diameter of shaft B,
- TA be the power transmitted by shaft A, and
- TB be the power transmitted by shaft B.
Given,
- dB = 2dA
Formula:
- The power transmitted by a shaft of diameter d and torque T is given by the formula, P = (2πNT)/60, where N is the speed of rotation in rpm.
Calculation:
- The power transmitted by shaft A is given by the formula, PA = (2πNA/60)
- The power transmitted by shaft B is given by the formula, PB = (2πNB/60)
Now,
- The torque transmitted by both the shafts will be the same, as they are made of the same material and subjected to the same load.
- Let,
- T be the torque transmitted by both the shafts.
- NA be the speed of rotation of shaft A.
- NB be the speed of rotation of shaft B.
- Then,
- TA = (2πNTA)/60 = T × (dA/2) × (NA/60)
- TB = (2πNTB)/60 = T × (dB/2) × (NB/60) = T × dA × NB/60
- Dividing both the equations, we get
- TA/TB = [(dA/2) × (NA/60)]/[(dA) × (NB/60)]
- TA/TB = 1/(2 × 2) = 1/4
Therefore, the ratio of power which can be transmitted by shaft A to that of shaft B is 1/4.
Hence, option (b) 1/4 is the correct answer.
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Two shafts A and B are made of the same material. The diameter of shaft B is twice that of shaft A The ratio of power which can be transmitted by shaft A to that of shaft B is[1994]a)1/2b)1/4c)1/8d)1/16 [Correct answer is option 'C'. Can you explain this answer?
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Two shafts A and B are made of the same material. The diameter of shaft B is twice that of shaft A The ratio of power which can be transmitted by shaft A to that of shaft B is[1994]a)1/2b)1/4c)1/8d)1/16 [Correct answer is option 'C'. 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 Two shafts A and B are made of the same material. The diameter of shaft B is twice that of shaft A The ratio of power which can be transmitted by shaft A to that of shaft B is[1994]a)1/2b)1/4c)1/8d)1/16 [Correct answer is option 'C'. 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 Two shafts A and B are made of the same material. The diameter of shaft B is twice that of shaft A The ratio of power which can be transmitted by shaft A to that of shaft B is[1994]a)1/2b)1/4c)1/8d)1/16 [Correct answer is option 'C'. Can you explain this answer?.
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