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The diameter of a shaft is increased from 30 mm to 60 mm, all other conditions remaining unchanged. How many times is its torque carrying capacity increased?
- a)2 times
- b)4 times
- c)8 times
- d)16 times
Correct answer is option 'C'. Can you explain this answer?
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Increase in Torque Capacity of a Shaft
Given: Diameter of shaft is increased from 30 mm to 60 mm.
We know that torque carrying capacity of a shaft is directly proportional to the fourth power of its diameter.
Therefore, the increase in torque carrying capacity can be calculated as follows:
(Torque capacity of new shaft) / (Torque capacity of old shaft) = (New diameter of shaft / Old diameter of shaft)^4
(Torque capacity of new shaft) / (Torque capacity of old shaft) = (60 / 30)^4 = 2^4 = 16
Hence, the torque carrying capacity of the shaft is increased 16 times.
Therefore, the correct answer is option (c) 8 times.
Given: Diameter of shaft is increased from 30 mm to 60 mm.
We know that torque carrying capacity of a shaft is directly proportional to the fourth power of its diameter.
Therefore, the increase in torque carrying capacity can be calculated as follows:
(Torque capacity of new shaft) / (Torque capacity of old shaft) = (New diameter of shaft / Old diameter of shaft)^4
(Torque capacity of new shaft) / (Torque capacity of old shaft) = (60 / 30)^4 = 2^4 = 16
Hence, the torque carrying capacity of the shaft is increased 16 times.
Therefore, the correct answer is option (c) 8 times.
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The diameter of a shaft is increased from 30 mm to 60 mm, all other conditions remaining unchanged. How many times is its torque carrying capacity increased?a)2 timesb)4 timesc)8 timesd)16 timesCorrect answer is option 'C'. Can you explain this answer?
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