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A 150 mm diameter shaft rotates at 1500 r.p.m in a 200 mm long journal bearing, with an internal bearing diameter 150.5 mm. The uniform annular space between the shaft and the bearing is filled with oil of dynamic viscosity 0.8 Poise. Calculate the power required to rotate the shaf?
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A 150 mm diameter shaft rotates at 1500 r.p.m in a 200 mm long journal...


Calculation of Power Required to Rotate the Shaft

- Step 1: Calculate the Reynolds Number
Re = (D x ω x L) / μ
Re = (150 mm x 1500 rpm x 0.2 m) / (0.8 Poise x 10^-1)
Re = 56250

- Step 2: Determine the Friction Factor
Using Moody chart or empirical correlation, determine the friction factor for the given Reynolds number and internal diameter ratio.

- Step 3: Calculate the Shear Stress
τ = f x (μ x ω x D) / (2 x L)
Substitute the values to get the shear stress acting on the shaft.

- Step 4: Determine the Power Required
P = (2 x π x N x τ x R^3) / (3 x L)
Substitute the calculated values to find the power required to rotate the shaft.

- Step 5: Final Calculation
After substituting all the values, calculate the power required in watts or horsepower.

By following the above steps and calculations, you can determine the power required to rotate the shaft in the given journal bearing setup. This process involves understanding the fluid dynamics, Reynolds number, friction factor, shear stress, and finally calculating the power based on these parameters.
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A 150 mm diameter shaft rotates at 1500 r.p.m in a 200 mm long journal bearing, with an internal bearing diameter 150.5 mm. The uniform annular space between the shaft and the bearing is filled with oil of dynamic viscosity 0.8 Poise. Calculate the power required to rotate the shaf?
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A 150 mm diameter shaft rotates at 1500 r.p.m in a 200 mm long journal bearing, with an internal bearing diameter 150.5 mm. The uniform annular space between the shaft and the bearing is filled with oil of dynamic viscosity 0.8 Poise. Calculate the power required to rotate the shaf? 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 150 mm diameter shaft rotates at 1500 r.p.m in a 200 mm long journal bearing, with an internal bearing diameter 150.5 mm. The uniform annular space between the shaft and the bearing is filled with oil of dynamic viscosity 0.8 Poise. Calculate the power required to rotate the shaf? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 150 mm diameter shaft rotates at 1500 r.p.m in a 200 mm long journal bearing, with an internal bearing diameter 150.5 mm. The uniform annular space between the shaft and the bearing is filled with oil of dynamic viscosity 0.8 Poise. Calculate the power required to rotate the shaf?.
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