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Coefficient of Fluctuation of Flywheel Speed given Mean Speed Calculator

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✖Maximum Angular Speed of Flywheel is the highest rotational speed of a flywheel, a heavy wheel attached to a rotating shaft, used to store energy kinetically.ⓘ Maximum Angular Speed of Flywheel [n_max]			+10% -10%
✖Minimum Angular Speed of Flywheel is the lowest rotational speed of a flywheel, a heavy wheel attached to a rotating shaft, to maintain its stability and efficiency.ⓘ Minimum Angular Speed of Flywheel [n_min]			+10% -10%
✖Mean Angular Speed of Flywheel is the rate of rotation of a flywheel, a heavy wheel attached to a shaft, used to store energy kinetically.ⓘ Mean Angular Speed of Flywheel [ω]			+10% -10%

✖Coefficient of Fluctuation of Flywheel Speed is a measure of the variation in flywheel speed, indicating the degree of uniformity in its rotational motion.ⓘ Coefficient of Fluctuation of Flywheel Speed given Mean Speed [C_s]

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Coefficient of Fluctuation of Flywheel Speed given Mean Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Fluctuation of Flywheel Speed = (Maximum Angular Speed of Flywheel-Minimum Angular Speed of Flywheel)/Mean Angular Speed of Flywheel
C_s = (n_max-n_min)/ω
This formula uses 4 Variables

Variables Used

Coefficient of Fluctuation of Flywheel Speed - Coefficient of Fluctuation of Flywheel Speed is a measure of the variation in flywheel speed, indicating the degree of uniformity in its rotational motion.
Maximum Angular Speed of Flywheel - (Measured in Radian per Second) - Maximum Angular Speed of Flywheel is the highest rotational speed of a flywheel, a heavy wheel attached to a rotating shaft, used to store energy kinetically.
Minimum Angular Speed of Flywheel - (Measured in Radian per Second) - Minimum Angular Speed of Flywheel is the lowest rotational speed of a flywheel, a heavy wheel attached to a rotating shaft, to maintain its stability and efficiency.
Mean Angular Speed of Flywheel - (Measured in Radian per Second) - Mean Angular Speed of Flywheel is the rate of rotation of a flywheel, a heavy wheel attached to a shaft, used to store energy kinetically.

STEP 1: Convert Input(s) to Base Unit

Maximum Angular Speed of Flywheel: 314.6 Revolution per Minute --> 32.9448349589673 Radian per Second (Check conversion here)
Minimum Angular Speed of Flywheel: 257.4 Revolution per Minute --> 26.9548649664278 Radian per Second (Check conversion here)
Mean Angular Speed of Flywheel: 286 Revolution per Minute --> 29.9498499626976 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_s = (n_max-n_min)/ω --> (32.9448349589673-26.9548649664278)/29.9498499626976

Evaluating ... ...

C_s = 0.199999999999999

STEP 3: Convert Result to Output's Unit

0.199999999999999 --> No Conversion Required

FINAL ANSWER

0.199999999999999 ≈ 0.2 <-- Coefficient of Fluctuation of Flywheel Speed

(Calculation completed in 00.004 seconds)

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< Design of Flywheel Calculators

Coefficient of Fluctuation of Flywheel Speed given Mean Speed

LaTeX Go Coefficient of Fluctuation of Flywheel Speed = (Maximum Angular Speed of Flywheel-Minimum Angular Speed of Flywheel)/Mean Angular Speed of Flywheel

Energy Output from Flywheel

LaTeX Go Energy Output From Flywheel = Moment of Inertia of Flywheel*Mean Angular Speed of Flywheel^2*Coefficient of Fluctuation of Flywheel Speed

Moment of Inertia of Flywheel

LaTeX Go Moment of Inertia of Flywheel = (Driving Input Torque of Flywheel-Load Output Torque of Flywheel)/Angular Acceleration of Flywheel

Mean Angular Velocity of Flywheel

LaTeX Go Mean Angular Speed of Flywheel = (Maximum Angular Speed of Flywheel+Minimum Angular Speed of Flywheel)/2

Coefficient of Fluctuation of Flywheel Speed given Mean Speed Formula

LaTeX Go

Coefficient of Fluctuation of Flywheel Speed = (Maximum Angular Speed of Flywheel-Minimum Angular Speed of Flywheel)/Mean Angular Speed of Flywheel
C_s = (n_max-n_min)/ω

What is a Mean Speed of Flywheel?

The mean speed of a flywheel refers to the average rotational speed it maintains during operation. Since the flywheel's speed can vary slightly due to energy fluctuations, the mean speed represents the steady, consistent speed over a complete cycle. This value is crucial for systems where stable rotational motion is required, as the flywheel helps smooth out speed variations and maintain overall balance in mechanical operations.

How to Calculate Coefficient of Fluctuation of Flywheel Speed given Mean Speed?

Coefficient of Fluctuation of Flywheel Speed given Mean Speed calculator uses Coefficient of Fluctuation of Flywheel Speed = (Maximum Angular Speed of Flywheel-Minimum Angular Speed of Flywheel)/Mean Angular Speed of Flywheel to calculate the Coefficient of Fluctuation of Flywheel Speed, Coefficient of Fluctuation of Flywheel Speed given Mean Speed formula is defined as a dimensionless quantity that characterizes the fluctuation in flywheel speed, providing a measure of the variation in speed around the mean speed in a flywheel system, which is essential in designing and optimizing flywheel performance. Coefficient of Fluctuation of Flywheel Speed is denoted by C_s symbol.

How to calculate Coefficient of Fluctuation of Flywheel Speed given Mean Speed using this online calculator? To use this online calculator for Coefficient of Fluctuation of Flywheel Speed given Mean Speed, enter Maximum Angular Speed of Flywheel (n_max), Minimum Angular Speed of Flywheel (n_min) & Mean Angular Speed of Flywheel (ω) and hit the calculate button. Here is how the Coefficient of Fluctuation of Flywheel Speed given Mean Speed calculation can be explained with given input values -> 0.2 = (32.9448349589673-26.9548649664278)/29.9498499626976.

FAQ

What is Coefficient of Fluctuation of Flywheel Speed given Mean Speed?

Coefficient of Fluctuation of Flywheel Speed given Mean Speed formula is defined as a dimensionless quantity that characterizes the fluctuation in flywheel speed, providing a measure of the variation in speed around the mean speed in a flywheel system, which is essential in designing and optimizing flywheel performance and is represented as C_s = (n_max-n_min)/ω or Coefficient of Fluctuation of Flywheel Speed = (Maximum Angular Speed of Flywheel-Minimum Angular Speed of Flywheel)/Mean Angular Speed of Flywheel. Maximum Angular Speed of Flywheel is the highest rotational speed of a flywheel, a heavy wheel attached to a rotating shaft, used to store energy kinetically, Minimum Angular Speed of Flywheel is the lowest rotational speed of a flywheel, a heavy wheel attached to a rotating shaft, to maintain its stability and efficiency & Mean Angular Speed of Flywheel is the rate of rotation of a flywheel, a heavy wheel attached to a shaft, used to store energy kinetically.

How to calculate Coefficient of Fluctuation of Flywheel Speed given Mean Speed?

Coefficient of Fluctuation of Flywheel Speed given Mean Speed formula is defined as a dimensionless quantity that characterizes the fluctuation in flywheel speed, providing a measure of the variation in speed around the mean speed in a flywheel system, which is essential in designing and optimizing flywheel performance is calculated using Coefficient of Fluctuation of Flywheel Speed = (Maximum Angular Speed of Flywheel-Minimum Angular Speed of Flywheel)/Mean Angular Speed of Flywheel. To calculate Coefficient of Fluctuation of Flywheel Speed given Mean Speed, you need Maximum Angular Speed of Flywheel (n_max), Minimum Angular Speed of Flywheel (n_min) & Mean Angular Speed of Flywheel (ω). With our tool, you need to enter the respective value for Maximum Angular Speed of Flywheel, Minimum Angular Speed of Flywheel & Mean Angular Speed of Flywheel 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 Coefficient of Fluctuation of Flywheel Speed?

In this formula, Coefficient of Fluctuation of Flywheel Speed uses Maximum Angular Speed of Flywheel, Minimum Angular Speed of Flywheel & Mean Angular Speed of Flywheel. We can use 1 other way(s) to calculate the same, which is/are as follows -

Coefficient of Fluctuation of Flywheel Speed = 2*(Maximum Angular Speed of Flywheel-Minimum Angular Speed of Flywheel)/(Maximum Angular Speed of Flywheel+Minimum Angular Speed of Flywheel)

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