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4. A shaft of 96 mm diameter rotates about a vertical axis at a speed of 300 rpm inside a cylinder of internal diameter 100 mm and length 50 cm. The space between the shaft and the cylinder is filled with an oil of viscosity 2 poise. Determine the torque and power required to rotate a shaft at a given speed overcoming the viscous resistance.?
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4. A shaft of 96 mm diameter rotates about a vertical axis at a speed ...
Given:

Diameter of shaft (D) = 96 mm

Speed of rotation (N) = 300 rpm

Internal diameter of cylinder (d) = 100 mm

Length of cylinder (L) = 50 cm

Viscosity of oil (μ) = 2 poise

Formula:

Torque (T) = πDNμL/2d

Power (P) = 2πNT/60

Calculation:

Converting diameter of shaft and cylinder from mm to m

D = 96/1000 m

d = 100/1000 m



Substituting the given values in the formula for torque

T = πDNμL/2d

T = (3.14 x 0.096 x 300 x 2 x 50 x 2)/(2 x 0.1)

T = 904.32 Nm



Substituting the calculated torque in the formula for power

P = 2πNT/60

P = (2 x 3.14 x 300 x 904.32)/60

P = 90445.76 W

Power required to overcome the viscous resistance is 90.44576 kW.

Answer:

The torque required to overcome the viscous resistance is 904.32 Nm and the power required is 90.44576 kW.
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4. A shaft of 96 mm diameter rotates about a vertical axis at a speed of 300 rpm inside a cylinder of internal diameter 100 mm and length 50 cm. The space between the shaft and the cylinder is filled with an oil of viscosity 2 poise. Determine the torque and power required to rotate a shaft at a given speed overcoming the viscous resistance.?
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4. A shaft of 96 mm diameter rotates about a vertical axis at a speed of 300 rpm inside a cylinder of internal diameter 100 mm and length 50 cm. The space between the shaft and the cylinder is filled with an oil of viscosity 2 poise. Determine the torque and power required to rotate a shaft at a given speed overcoming the viscous resistance.? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 4. A shaft of 96 mm diameter rotates about a vertical axis at a speed of 300 rpm inside a cylinder of internal diameter 100 mm and length 50 cm. The space between the shaft and the cylinder is filled with an oil of viscosity 2 poise. Determine the torque and power required to rotate a shaft at a given speed overcoming the viscous resistance.? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4. A shaft of 96 mm diameter rotates about a vertical axis at a speed of 300 rpm inside a cylinder of internal diameter 100 mm and length 50 cm. The space between the shaft and the cylinder is filled with an oil of viscosity 2 poise. Determine the torque and power required to rotate a shaft at a given speed overcoming the viscous resistance.?.
Solutions for 4. A shaft of 96 mm diameter rotates about a vertical axis at a speed of 300 rpm inside a cylinder of internal diameter 100 mm and length 50 cm. The space between the shaft and the cylinder is filled with an oil of viscosity 2 poise. Determine the torque and power required to rotate a shaft at a given speed overcoming the viscous resistance.? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
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