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A flywheel fitted to a steam engine has mass of 800 kg. Its radius of gyration is 300 mm. The starting torque of the engine is 500 N — m and may be assumed constant. The Kinetic energy of the flywheel (in kJ) after 5 sec is
    Correct answer is '43.4'. Can you explain this answer?
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    A flywheel fitted to a steam engine has mass of 800 kg. Its radius of...
    Given data:
    - Mass of the flywheel (m) = 800 kg
    - Radius of gyration (k) = 300 mm = 0.3 m
    - Starting torque (T) = 500 N·m
    - Time (t) = 5 s

    Calculation:
    1. Moment of inertia (I) of the flywheel:
    The moment of inertia of the flywheel can be calculated using the formula:
    I = mk^2

    Substituting the given values:
    I = 800 kg × (0.3 m)^2
    I = 72 kg·m^2

    2. Angular acceleration (α) of the flywheel:
    The angular acceleration of the flywheel can be calculated using the formula:
    τ = Iα

    Rearranging the formula, we get:
    α = τ / I

    Substituting the given values:
    α = 500 N·m / 72 kg·m^2
    α = 6.94 rad/s^2

    3. Angular velocity (ω) of the flywheel:
    The angular velocity of the flywheel can be calculated using the formula:
    ω = αt

    Substituting the given values:
    ω = 6.94 rad/s^2 × 5 s
    ω = 34.7 rad/s

    4. Kinetic energy (KE) of the flywheel:
    The kinetic energy of the flywheel can be calculated using the formula:
    KE = (1/2)Iω^2

    Substituting the given values:
    KE = (1/2) × 72 kg·m^2 × (34.7 rad/s)^2
    KE = 43,370 J

    Converting the kinetic energy to kilojoules:
    KE = 43,370 J / 1000
    KE = 43.4 kJ

    Therefore, the kinetic energy of the flywheel after 5 seconds is 43.4 kJ.
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    A flywheel fitted to a steam engine has mass of 800 kg. Its radius of gyration is 300 mm. The starting torque of the engine is 500 N — m and may be assumed constant. The Kinetic energy of the flywheel (in kJ) after 5 sec isCorrect answer is '43.4'. Can you explain this answer?
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    A flywheel fitted to a steam engine has mass of 800 kg. Its radius of gyration is 300 mm. The starting torque of the engine is 500 N — m and may be assumed constant. The Kinetic energy of the flywheel (in kJ) after 5 sec isCorrect answer is '43.4'. Can you explain this answer? 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 A flywheel fitted to a steam engine has mass of 800 kg. Its radius of gyration is 300 mm. The starting torque of the engine is 500 N — m and may be assumed constant. The Kinetic energy of the flywheel (in kJ) after 5 sec isCorrect answer is '43.4'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A flywheel fitted to a steam engine has mass of 800 kg. Its radius of gyration is 300 mm. The starting torque of the engine is 500 N — m and may be assumed constant. The Kinetic energy of the flywheel (in kJ) after 5 sec isCorrect answer is '43.4'. Can you explain this answer?.
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