Rotational Speed of Shaft Calculator

✖The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.ⓘ Diameter of Shaft [d_shaft]			+10% -10%
✖Speed of Shaft is the speed at which a general shaft rotates.ⓘ Speed of Shaft [N]			+10% -10%

✖Velocity of Shaft is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.ⓘ Rotational Speed of Shaft [v_Shaft]

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Formula

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Rotational Speed of Shaft

Formula

`"v"_{"Shaft"} = (pi*"d"_{"shaft"}*"N")`

Example

`"3.272492m/s"=(pi*"1.25m"*"50rev/min")`

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Rotational Speed of Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Shaft = (pi*Diameter of Shaft*Speed of Shaft)
v_Shaft = (pi*d_shaft*N)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Velocity of Shaft - (Measured in Meter per Second) - Velocity of Shaft is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
Diameter of Shaft - (Measured in Meter) - The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.
Speed of Shaft - (Measured in Hertz) - Speed of Shaft is the speed at which a general shaft rotates.

STEP 1: Convert Input(s) to Base Unit

Diameter of Shaft: 1.25 Meter --> 1.25 Meter No Conversion Required
Speed of Shaft: 50 Revolution per Minute --> 0.833333333333333 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_Shaft = (pi*d_shaft*N) --> (pi*1.25*0.833333333333333)

Evaluating ... ...

v_Shaft = 3.27249234748937

STEP 3: Convert Result to Output's Unit

3.27249234748937 Meter per Second --> No Conversion Required

FINAL ANSWER

3.27249234748937 ≈ 3.272492 Meter per Second <-- Velocity of Shaft

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Introduction to Fluid Mechanics Basics » Turbine » Rotational Speed of Shaft

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Created by Shareef Alex

velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada

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Rotational Speed of Shaft Formula

Velocity of Shaft = (pi*Diameter of Shaft*Speed of Shaft)
v_Shaft = (pi*d_shaft*N)

What is shaft speed?

The critical speed is the theoretical angular velocity which excites the natural frequency of a rotating object, such as a shaft. ... For a rotating shaft there is a speed at which, for any small initial deflection, the centrifugal force is equal to the elastic restoring force.

What is tangential speed of shaft?

Tangential velocity is the linear speed of any object moving along a circular path. A point on the outside edge of a turntable moves a greater distance in one complete rotation than a point near to the center.

How to Calculate Rotational Speed of Shaft?

Rotational Speed of Shaft calculator uses Velocity of Shaft = (pi*Diameter of Shaft*Speed of Shaft) to calculate the Velocity of Shaft, Rotational Speed of Shaft refers to the measurement of the rate and direction of change in the position of a shaft. It is a vector quantity that specifies both the speed of a body and its direction of motion. Velocity of Shaft is denoted by v_Shaft symbol.

How to calculate Rotational Speed of Shaft using this online calculator? To use this online calculator for Rotational Speed of Shaft, enter Diameter of Shaft (d_shaft) & Speed of Shaft (N) and hit the calculate button. Here is how the Rotational Speed of Shaft calculation can be explained with given input values -> 3.272492 = (pi*1.25*0.833333333333333).

FAQ

What is Rotational Speed of Shaft?

Rotational Speed of Shaft refers to the measurement of the rate and direction of change in the position of a shaft. It is a vector quantity that specifies both the speed of a body and its direction of motion and is represented as v_Shaft = (pi*d_shaft*N) or Velocity of Shaft = (pi*Diameter of Shaft*Speed of Shaft). The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power & Speed of Shaft is the speed at which a general shaft rotates.

How to calculate Rotational Speed of Shaft?

Rotational Speed of Shaft refers to the measurement of the rate and direction of change in the position of a shaft. It is a vector quantity that specifies both the speed of a body and its direction of motion is calculated using Velocity of Shaft = (pi*Diameter of Shaft*Speed of Shaft). To calculate Rotational Speed of Shaft, you need Diameter of Shaft (d_shaft) & Speed of Shaft (N). With our tool, you need to enter the respective value for Diameter of Shaft & Speed of Shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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