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Two shafts one hollow and other solid have same material and mass.the inner diameter of hollow shaft is the outside diameter.the ratio of torque that can be transmitted by these two shafts is (a)15/16 (b)1/16 (c)1/4 (d)1/32?
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Two shafts one hollow and other solid have same material and mass.the ...
Answer:
Explanation:
Given that two shafts one hollow and other solid have the same material and mass. The inner diameter of the hollow shaft is the outside diameter. We need to find the ratio of torque that can be transmitted by these two shafts.
Let us assume that the outer diameter of both the shafts is the same and the length of both the shafts is also the same.
Formulae Used:
The torque that can be transmitted by a solid shaft is given by:
T = (pi / 16) * G * d^4 * T_max / L
Where, G is the modulus of rigidity of the material, d is the diameter of the shaft, T_max is the maximum shear stress induced in the shaft, and L is the length of the shaft.
The torque that can be transmitted by a hollow shaft is given by:
T = (pi / 16) * G * (d_o^4 - d_i^4) * T_max / L
Where, d_o is the outer diameter of the hollow shaft and d_i is the inner diameter of the hollow shaft.
Calculation:
Let the outer diameter of both the shafts be d.
Then, the inner diameter of the hollow shaft = d.
The outer diameter of the hollow shaft = 2d.
Therefore, the ratio of torque that can be transmitted by these two shafts is:
T_hollow / T_solid = (d^4 - d^4) / (d^4) = 0
Hence, the correct answer is option (b) 1/16.
Conclusion:
The ratio of torque that can be transmitted by a hollow shaft and a solid shaft depends on the dimensions of the shafts. In this case, since the inner diameter of the hollow shaft is equal to the outer diameter of the solid shaft, the ratio of torque that can be transmitted by these two shafts is zero.
Explanation:
Given that two shafts one hollow and other solid have the same material and mass. The inner diameter of the hollow shaft is the outside diameter. We need to find the ratio of torque that can be transmitted by these two shafts.
Let us assume that the outer diameter of both the shafts is the same and the length of both the shafts is also the same.
Formulae Used:
The torque that can be transmitted by a solid shaft is given by:
T = (pi / 16) * G * d^4 * T_max / L
Where, G is the modulus of rigidity of the material, d is the diameter of the shaft, T_max is the maximum shear stress induced in the shaft, and L is the length of the shaft.
The torque that can be transmitted by a hollow shaft is given by:
T = (pi / 16) * G * (d_o^4 - d_i^4) * T_max / L
Where, d_o is the outer diameter of the hollow shaft and d_i is the inner diameter of the hollow shaft.
Calculation:
Let the outer diameter of both the shafts be d.
Then, the inner diameter of the hollow shaft = d.
The outer diameter of the hollow shaft = 2d.
Therefore, the ratio of torque that can be transmitted by these two shafts is:
T_hollow / T_solid = (d^4 - d^4) / (d^4) = 0
Hence, the correct answer is option (b) 1/16.
Conclusion:
The ratio of torque that can be transmitted by a hollow shaft and a solid shaft depends on the dimensions of the shafts. In this case, since the inner diameter of the hollow shaft is equal to the outer diameter of the solid shaft, the ratio of torque that can be transmitted by these two shafts is zero.
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Two shafts one hollow and other solid have same material and mass.the inner diameter of hollow shaft is the outside diameter.the ratio of torque that can be transmitted by these two shafts is (a)15/16 (b)1/16 (c)1/4 (d)1/32?
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Two shafts one hollow and other solid have same material and mass.the inner diameter of hollow shaft is the outside diameter.the ratio of torque that can be transmitted by these two shafts is (a)15/16 (b)1/16 (c)1/4 (d)1/32? 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 one hollow and other solid have same material and mass.the inner diameter of hollow shaft is the outside diameter.the ratio of torque that can be transmitted by these two shafts is (a)15/16 (b)1/16 (c)1/4 (d)1/32? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two shafts one hollow and other solid have same material and mass.the inner diameter of hollow shaft is the outside diameter.the ratio of torque that can be transmitted by these two shafts is (a)15/16 (b)1/16 (c)1/4 (d)1/32?.
Two shafts one hollow and other solid have same material and mass.the inner diameter of hollow shaft is the outside diameter.the ratio of torque that can be transmitted by these two shafts is (a)15/16 (b)1/16 (c)1/4 (d)1/32? 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 one hollow and other solid have same material and mass.the inner diameter of hollow shaft is the outside diameter.the ratio of torque that can be transmitted by these two shafts is (a)15/16 (b)1/16 (c)1/4 (d)1/32? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two shafts one hollow and other solid have same material and mass.the inner diameter of hollow shaft is the outside diameter.the ratio of torque that can be transmitted by these two shafts is (a)15/16 (b)1/16 (c)1/4 (d)1/32?.
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Two shafts one hollow and other solid have same material and mass.the inner diameter of hollow shaft is the outside diameter.the ratio of torque that can be transmitted by these two shafts is (a)15/16 (b)1/16 (c)1/4 (d)1/32?, a detailed solution for Two shafts one hollow and other solid have same material and mass.the inner diameter of hollow shaft is the outside diameter.the ratio of torque that can be transmitted by these two shafts is (a)15/16 (b)1/16 (c)1/4 (d)1/32? has been provided alongside types of Two shafts one hollow and other solid have same material and mass.the inner diameter of hollow shaft is the outside diameter.the ratio of torque that can be transmitted by these two shafts is (a)15/16 (b)1/16 (c)1/4 (d)1/32? theory, EduRev gives you an
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