The co-efficient of fluctuation of speed is the ratio of maximum fluctuation of speed to the mean speed.

Co-efficient of fluctuation of speed

The ratio of maximum fluctuation of speed to the mean speed is called the coefficient of fluctuation of speed. It is a dimensionless quantity and is denoted by the symbol 'Cf'.

Mathematically, Cf = (Vmax - Vmin)/(Vmean)

where Vmax is the maximum speed attained by the system, Vmin is the minimum speed attained by the system and Vmean is the mean or average speed of the system.

Significance of coefficient of fluctuation of speed

The coefficient of fluctuation of speed is an important parameter in the study of dynamic systems. It gives an idea about the degree of fluctuation or variation in the speed of the system.

If the value of Cf is high, it indicates that the system is highly variable and not stable. On the other hand, if the value of Cf is low, it indicates that the system is stable and less variable.

Applications

The coefficient of fluctuation of speed finds its applications in various fields like mechanical engineering, electrical engineering, and chemical engineering.

In mechanical engineering, it is used to study the behavior of various machines like engines, turbines, and compressors. In electrical engineering, it is used to study the behavior of electric motors and generators. In chemical engineering, it is used to study the behavior of chemical reactors and mixing tanks.

Conclusion

To summarize, the coefficient of fluctuation of speed is an important parameter in the study of dynamic systems. It gives an idea about the degree of fluctuation or variation in the speed of the system. It is a dimensionless quantity and is denoted by the symbol 'Cf'. The value of Cf is an indicator of the stability and variability of the system.

Coefficient of fluctuation of speed.