GATE Exam  >  GATE Questions  >  In a single-cylinder reciprocating engine, th... Start Learning for Free
In a single-cylinder reciprocating engine, the mass of reciprocating parts is 55 kg and the mass of revolving parts is 30 kg. The speed of the engine is 200 rpm and the stroke length is 300 mm. If 65 % of the reciprocating parts and all the revolving parts are to be balanced then the required balance mass at a radius of 270 mm is ___ kg.
    Correct answer is between '36,37'. Can you explain this answer?
    Verified Answer
    In a single-cylinder reciprocating engine, the mass of reciprocating p...
    Given,
    Mass of reciprocating parts, m1 = 55 kg
    Mass of revolving parts, m2 = 30 kg
    Speed of engine, N = 200 rpm
    Stoke length, l = 300 mm
    % of reciprocating parts to be balanced, k = 65 %
    Angular speed, ω = (2πN) / 60
    = (2π × 200) / 60
    = 20.94 rad/s
    Radius of crank, r = l / 2 = 300/2 = 150 mm
    Total mass to be balanced, m = k × m1 + m2
    = 0.65 × 55 + 30 = 65.75 kg
    Let the required mass at radius (rp) 270 mm be mp.
    So from balancing we can write,
    mp × rp = m × r
    mp = (m × r) / rp = (65.75 × 150) / 270 = 36.53 kg.
    View all questions of this test
    Most Upvoted Answer
    In a single-cylinder reciprocating engine, the mass of reciprocating p...
    Given:
    Mass of reciprocating parts = 55 kg
    Mass of revolving parts = 30 kg
    Speed of engine = 200 rpm
    Stroke length = 300 mm
    Percentage of reciprocating parts to be balanced = 65%
    Radius at which balance mass is required = 270 mm

    To find: Required balance mass at a radius of 270 mm

    Calculation:
    1. Calculation of unbalanced force:
    Unbalanced force = (mass of reciprocating parts + mass of revolving parts) × (stroke length / 2) × (2π × engine speed / 60)^2
    Unbalanced force = (55 + 30) × (300 / 2) × (2π × 200 / 60)^2
    Unbalanced force = 1741.96 N

    2. Calculation of force to be balanced:
    Force to be balanced = (65 / 100) × unbalanced force
    Force to be balanced = (65 / 100) × 1741.96
    Force to be balanced = 1131.27 N

    3. Calculation of required balance mass:
    Required balance mass = force to be balanced / (2π × radius)
    Required balance mass = 1131.27 / (2π × 0.27)
    Required balance mass = 36.11 kg (approx.)

    Therefore, the required balance mass at a radius of 270 mm is 36.11 kg (approx.).
    Explore Courses for GATE exam
    In a single-cylinder reciprocating engine, the mass of reciprocating parts is 55 kg and the mass of revolving parts is 30 kg. The speed of the engine is 200 rpm and the stroke length is 300 mm. If 65 % of the reciprocating parts and all the revolving parts are to be balanced then the required balance mass at a radius of 270 mm is ___ kg.Correct answer is between '36,37'. Can you explain this answer?
    Question Description
    In a single-cylinder reciprocating engine, the mass of reciprocating parts is 55 kg and the mass of revolving parts is 30 kg. The speed of the engine is 200 rpm and the stroke length is 300 mm. If 65 % of the reciprocating parts and all the revolving parts are to be balanced then the required balance mass at a radius of 270 mm is ___ kg.Correct answer is between '36,37'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In a single-cylinder reciprocating engine, the mass of reciprocating parts is 55 kg and the mass of revolving parts is 30 kg. The speed of the engine is 200 rpm and the stroke length is 300 mm. If 65 % of the reciprocating parts and all the revolving parts are to be balanced then the required balance mass at a radius of 270 mm is ___ kg.Correct answer is between '36,37'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a single-cylinder reciprocating engine, the mass of reciprocating parts is 55 kg and the mass of revolving parts is 30 kg. The speed of the engine is 200 rpm and the stroke length is 300 mm. If 65 % of the reciprocating parts and all the revolving parts are to be balanced then the required balance mass at a radius of 270 mm is ___ kg.Correct answer is between '36,37'. Can you explain this answer?.
    Solutions for In a single-cylinder reciprocating engine, the mass of reciprocating parts is 55 kg and the mass of revolving parts is 30 kg. The speed of the engine is 200 rpm and the stroke length is 300 mm. If 65 % of the reciprocating parts and all the revolving parts are to be balanced then the required balance mass at a radius of 270 mm is ___ kg.Correct answer is between '36,37'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
    Here you can find the meaning of In a single-cylinder reciprocating engine, the mass of reciprocating parts is 55 kg and the mass of revolving parts is 30 kg. The speed of the engine is 200 rpm and the stroke length is 300 mm. If 65 % of the reciprocating parts and all the revolving parts are to be balanced then the required balance mass at a radius of 270 mm is ___ kg.Correct answer is between '36,37'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In a single-cylinder reciprocating engine, the mass of reciprocating parts is 55 kg and the mass of revolving parts is 30 kg. The speed of the engine is 200 rpm and the stroke length is 300 mm. If 65 % of the reciprocating parts and all the revolving parts are to be balanced then the required balance mass at a radius of 270 mm is ___ kg.Correct answer is between '36,37'. Can you explain this answer?, a detailed solution for In a single-cylinder reciprocating engine, the mass of reciprocating parts is 55 kg and the mass of revolving parts is 30 kg. The speed of the engine is 200 rpm and the stroke length is 300 mm. If 65 % of the reciprocating parts and all the revolving parts are to be balanced then the required balance mass at a radius of 270 mm is ___ kg.Correct answer is between '36,37'. Can you explain this answer? has been provided alongside types of In a single-cylinder reciprocating engine, the mass of reciprocating parts is 55 kg and the mass of revolving parts is 30 kg. The speed of the engine is 200 rpm and the stroke length is 300 mm. If 65 % of the reciprocating parts and all the revolving parts are to be balanced then the required balance mass at a radius of 270 mm is ___ kg.Correct answer is between '36,37'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In a single-cylinder reciprocating engine, the mass of reciprocating parts is 55 kg and the mass of revolving parts is 30 kg. The speed of the engine is 200 rpm and the stroke length is 300 mm. If 65 % of the reciprocating parts and all the revolving parts are to be balanced then the required balance mass at a radius of 270 mm is ___ kg.Correct answer is between '36,37'. Can you explain this answer? tests, examples and also practice GATE tests.
    Explore Courses for GATE exam
    Signup for Free!
    Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
    10M+ students study on EduRev