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The equation of tuming moment curve of a three-crank engine is (5000 1500 sin 30 N Nth where is the crank angle in radiám. The momcit of inertia of flywheet-i 1000 kg-m² and the mean speed is 300 rpm. Calculate the (a) power of the engine, and (b) maximum fluctuation of speed of the flywheel in percentage when the () resisting torque is constant, and (ii) resisting torque is (5000 600 sin 0) N-m?
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The equation of tuming moment curve of a three-crank engine is (5000 ...
Calculation of Power of the Engine:

  • Given, turning moment curve = (5000 + 1500sin30θ) N-m

  • Moment of inertia of flywheel = 1000 kg-m²

  • Mean speed = 300 rpm

  • Angular speed, ω = (2π/60) x 300 rad/s = 31.42 rad/s

  • Maximum turning moment, Tmax = 5000 + 1500sin30θ = 5750 N-m

  • Mean turning moment, Tmean = (1/2π) ∫T dθ = (1/2π) x 1500 x (cos0 - cosπ/3) = 750 N-m

  • Fluctuation of turning moment, ΔT = Tmax - Tmean = 5000 N-m

  • Power of the engine, P = 2πNTmean/60 = 2π x 300 x 750/60 = 2356.2 kW



Calculation of Maximum Fluctuation of Speed:

  • Case (i): Resisting torque is constant


    • Net torque, T = turning moment - resisting torque = (5000 + 1500sin30θ) - Tres

    • Where, Tres is the constant resisting torque

    • Maximum net torque, Tmax = 5750 - Tres

    • Minimum net torque, Tmin = 4250 - Tres

    • Maximum kinetic energy, KEmax = (1/2) I ωmax² = (1/2) x 1000 x (31.42 + Δω)²

    • Minimum kinetic energy, KEmax = (1/2) I ωmin² = (1/2) x 1000 x (31.42 - Δω)²

    • Maximum fluctuation of speed, Δω/ω = (KEmax - KEmin)/2 KEmean x 100%

    • Where, KEmean = (1/2) I ωmean² = (1/2) x 1000 x 31.42²


  • Case (ii): Resisting torque is (5000 + 600sin0) N-m


    • Net torque, T = turning moment - resisting torque = (5000 + 1500sin30θ) - (5000 + 600sin0)

    • Maximum net torque, Tmax = 5750 - 600sin0

    • Minimum net torque, Tmin = 4250 - 600sin0

    • Maximum kinetic energy, KEmax = (1/2) I ωmax² = (1/2) x 1000 x (31.42 + Δω)²

    • Minimum kinetic energy, KEmax = (1/2) I ωmin² = (1/2) x 1000 x (31.42 - Δω)²

    • Maximum fluctuation of speed, Δω/
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The equation of tuming moment curve of a three-crank engine is (5000 1500 sin 30 N Nth where is the crank angle in radiám. The momcit of inertia of flywheet-i 1000 kg-m² and the mean speed is 300 rpm. Calculate the (a) power of the engine, and (b) maximum fluctuation of speed of the flywheel in percentage when the () resisting torque is constant, and (ii) resisting torque is (5000 600 sin 0) N-m?
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The equation of tuming moment curve of a three-crank engine is (5000 1500 sin 30 N Nth where is the crank angle in radiám. The momcit of inertia of flywheet-i 1000 kg-m² and the mean speed is 300 rpm. Calculate the (a) power of the engine, and (b) maximum fluctuation of speed of the flywheel in percentage when the () resisting torque is constant, and (ii) resisting torque is (5000 600 sin 0) N-m? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The equation of tuming moment curve of a three-crank engine is (5000 1500 sin 30 N Nth where is the crank angle in radiám. The momcit of inertia of flywheet-i 1000 kg-m² and the mean speed is 300 rpm. Calculate the (a) power of the engine, and (b) maximum fluctuation of speed of the flywheel in percentage when the () resisting torque is constant, and (ii) resisting torque is (5000 600 sin 0) N-m? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equation of tuming moment curve of a three-crank engine is (5000 1500 sin 30 N Nth where is the crank angle in radiám. The momcit of inertia of flywheet-i 1000 kg-m² and the mean speed is 300 rpm. Calculate the (a) power of the engine, and (b) maximum fluctuation of speed of the flywheel in percentage when the () resisting torque is constant, and (ii) resisting torque is (5000 600 sin 0) N-m?.
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