Diameter of Shaft given Shaft Speed and Surface Velocity of Shaft Calculator

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Vertical Shaft Rotating in Guide Bearing

✖Surface velocity of shaft is defined as the velocity of a point on the surface of the shaft.ⓘ Surface Velocity of Shaft [U]			+10% -10%
✖The Shaft Speed is the speed of rotation of the Shaft.ⓘ Shaft Speed [N]			+10% -10%

✖The Shaft Diameter is defined as the diameter of the hole in the iron laminations that contains the shaft.ⓘ Diameter of Shaft given Shaft Speed and Surface Velocity of Shaft [D]

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Formula

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Diameter of Shaft given Shaft Speed and Surface Velocity of Shaft

Formula

`"D" = "U"/(pi*"N")`

Example

`"0.210085m"="6.6m/s"/(pi*"10rev/s")`

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Diameter of Shaft given Shaft Speed and Surface Velocity of Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shaft Diameter = Surface Velocity of Shaft/(pi*Shaft Speed)
D = U/(pi*N)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Shaft Diameter - (Measured in Meter) - The Shaft Diameter is defined as the diameter of the hole in the iron laminations that contains the shaft.
Surface Velocity of Shaft - (Measured in Meter per Second) - Surface velocity of shaft is defined as the velocity of a point on the surface of the shaft.
Shaft Speed - (Measured in Hertz) - The Shaft Speed is the speed of rotation of the Shaft.

STEP 1: Convert Input(s) to Base Unit

Surface Velocity of Shaft: 6.6 Meter per Second --> 6.6 Meter per Second No Conversion Required
Shaft Speed: 10 Revolution per Second --> 10 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = U/(pi*N) --> 6.6/(pi*10)

Evaluating ... ...

D = 0.210084524881302

STEP 3: Convert Result to Output's Unit

0.210084524881302 Meter --> No Conversion Required

FINAL ANSWER

0.210084524881302 ≈ 0.210085 Meter <-- Shaft Diameter

(Calculation completed in 00.008 seconds)

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National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

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< 9 Vertical Shaft Rotating in Guide Bearing Calculators

Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position

Go Radial Clearance = Oil Film Thickness at any Position θ/(1+Eccentricity Ratio*cos(Angle Measured from Point of Minimum of Oil Film))

Eccentricity Ratio given Radial Clearance and Film Thickness at any Position

Go Eccentricity Ratio = (Oil Film Thickness at any Position θ/Radial Clearance-1)/cos(Angle Measured from Point of Minimum of Oil Film)

Oil Film Thickness at any Position in Journal Bearing

Go Oil Film Thickness at any Position θ = Radial Clearance*(1+Eccentricity Ratio*cos(Angle Measured from Point of Minimum of Oil Film))

Journal Diameter given Angular Length of Bearing and Length of Bearing in Direction of Motion

Go Shaft Diameter = (2*Length of Bearing in Direction of Motion)/(Angular or Circumferential Length of Bearing)

Angular Length of Bearing given Length of Bearing in Direction of Motion

Go Angular or Circumferential Length of Bearing = (2*Length of Bearing in Direction of Motion)/(Shaft Diameter)

Length of Bearing in Direction of Motion

Go Length of Bearing in Direction of Motion = (Shaft Diameter*Angular or Circumferential Length of Bearing)/2

Speed of Shaft given Diameter of Shaft and Surface Velocity of Shaft

Go Shaft Speed = Surface Velocity of Shaft/(pi*Shaft Diameter)

Diameter of Shaft given Shaft Speed and Surface Velocity of Shaft

Go Shaft Diameter = Surface Velocity of Shaft/(pi*Shaft Speed)

Surface Velocity of Shaft given Shaft Speed and Diameter

Go Surface Velocity of Shaft = pi*Shaft Diameter*Shaft Speed

Diameter of Shaft given Shaft Speed and Surface Velocity of Shaft Formula

Shaft Diameter = Surface Velocity of Shaft/(pi*Shaft Speed)
D = U/(pi*N)

How are bearings classified?

Depending upon the direction of load to be supported, the bearings can be classified as Radial and Thrust bearings. In radial bearings, the load acts perpendicular to the direction of motion of the moving element. In thrust bearings, the load acts along the axis of rotation. Depending upon the nature of contact, the bearings can be classified as sliding contact and rolling contact bearings. In sliding contact bearings, the sliding takes place along the surfaces of contact between the moving element and the fixed element. The sliding contact bearings are also known as plain bearings. In rolling contact bearings, the steel balls or rollers, are interposed between the moving and fixed elements. The balls offer rolling friction at two points for each ball or roller.

How are sliding contact bearings classified?

The sliding contact bearings in which the sliding action is guided in a straight line and carrying radial loads may be called slipper or guide bearings and those in which the sliding action is along the circumference of a circle or an arc of a circle are known as journal or sleeve bearings. When the angle of contact of the bearing with the journal is 360° then the bearing is called a full journal bearing and is used to accommodate bearing loads in any radial direction. When the angle of contact of the bearing with the journal is 120°, then the bearing is said to be partial journal bearing. This type of bearing has less friction than full journal bearing, but it can be used only where the load is always in one direction. The full and partial journal bearings may be called as clearance bearings because the diameter of the journal is less than that of bearing. When a partial journal bearing has no clearance i.e. the diameters of the journal and bearing are equal, then the bearing is called a fitted bearing.

How to Calculate Diameter of Shaft given Shaft Speed and Surface Velocity of Shaft?

Diameter of Shaft given Shaft Speed and Surface Velocity of Shaft calculator uses Shaft Diameter = Surface Velocity of Shaft/(pi*Shaft Speed) to calculate the Shaft Diameter, The Diameter of Shaft given Shaft Speed and Surface Velocity of Shaft formula is used in finding the diameter of the shaft when the velocity of a point on the surface and the speed of the shaft are known. Shaft Diameter is denoted by D symbol.

How to calculate Diameter of Shaft given Shaft Speed and Surface Velocity of Shaft using this online calculator? To use this online calculator for Diameter of Shaft given Shaft Speed and Surface Velocity of Shaft, enter Surface Velocity of Shaft (U) & Shaft Speed (N) and hit the calculate button. Here is how the Diameter of Shaft given Shaft Speed and Surface Velocity of Shaft calculation can be explained with given input values -> 0.210085 = 6.6/(pi*10).

FAQ

What is Diameter of Shaft given Shaft Speed and Surface Velocity of Shaft?

The Diameter of Shaft given Shaft Speed and Surface Velocity of Shaft formula is used in finding the diameter of the shaft when the velocity of a point on the surface and the speed of the shaft are known and is represented as D = U/(pi*N) or Shaft Diameter = Surface Velocity of Shaft/(pi*Shaft Speed). Surface velocity of shaft is defined as the velocity of a point on the surface of the shaft & The Shaft Speed is the speed of rotation of the Shaft.

How to calculate Diameter of Shaft given Shaft Speed and Surface Velocity of Shaft?

The Diameter of Shaft given Shaft Speed and Surface Velocity of Shaft formula is used in finding the diameter of the shaft when the velocity of a point on the surface and the speed of the shaft are known is calculated using Shaft Diameter = Surface Velocity of Shaft/(pi*Shaft Speed). To calculate Diameter of Shaft given Shaft Speed and Surface Velocity of Shaft, you need Surface Velocity of Shaft (U) & Shaft Speed (N). With our tool, you need to enter the respective value for Surface Velocity of Shaft & Shaft Speed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Shaft Diameter?

In this formula, Shaft Diameter uses Surface Velocity of Shaft & Shaft Speed. We can use 1 other way(s) to calculate the same, which is/are as follows -

Shaft Diameter = (2*Length of Bearing in Direction of Motion)/(Angular or Circumferential Length of Bearing)

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