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The turning moment diagram of an engine is shown in the figure. The mean speed of the prime mover is 11 rad/s and the mass moment of inertia is 0.1 kgm² What is the coefficient of fluctuation of energy in percentage (%)? What is mean power output in kW?
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The turning moment diagram of an engine is shown in the figure. The me...
Turning Moment Diagram and Mean Speed
The turning moment diagram of the engine is shown in the figure, and the mean speed of the prime mover is 11 rad/s.


Mass Moment of Inertia
The mass moment of inertia is 0.1 kgm².


Coefficient of Fluctuation of Energy
The coefficient of fluctuation of energy is a measure of the variation in the energy output of an engine. It is defined as the ratio of the maximum deviation of the engine power output from its average value to the average value of the power output, expressed as a percentage.

Formula: Coefficient of Fluctuation of Energy = (Maximum Deviation of Power Output / Mean Power Output) x 100%


Mean Power Output
The mean power output of the engine can be calculated using the formula:

Mean Power Output = (2π x Mean Speed x Turning Moment) / 60,000


Calculation of Mean Power Output
Mean Power Output = (2π x 11 x 50) / 60,000 = 0.057 kW


Calculation of Maximum Deviation of Power Output
The maximum deviation of power output can be calculated as the difference between the maximum and minimum values of the turning moment diagram. In this case, the maximum value of the turning moment diagram is 75 Nm and the minimum value is -25 Nm.

Maximum Deviation of Power Output = (75 - (-25)) / 2 = 50 Nm


Calculation of Coefficient of Fluctuation of Energy
Using the formula for coefficient of fluctuation of energy, we get:

Coefficient of Fluctuation of Energy = (50 / 0.057) x 100% = 877.2%


Explanation
The turning moment diagram shows the variation in the engine's torque output over one cycle. The mean speed of the prime mover is the average speed of the engine over one cycle. The mass moment of inertia is a measure of the engine's resistance to rotational motion. The coefficient of fluctuation of energy is a measure of the variation in the engine's power output over one cycle, expressed as a percentage. The mean power output of the engine is the average power output over one cycle. The maximum deviation of power output is the difference between the maximum and minimum values of the turning moment diagram.
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The turning moment diagram of an engine is shown in the figure. The mean speed of the prime mover is 11 rad/s and the mass moment of inertia is 0.1 kgm² What is the coefficient of fluctuation of energy in percentage (%)? What is mean power output in kW?
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