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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?
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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.
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.
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.).
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.).
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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?
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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?.
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?.
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