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A single acting reciprocating pump discharges 3.5 litres of water per second at 40 rpm. The pump has a piston diameter of 150 mm and a stroke of 300 mm. The percentage slip is
- a)0.85
- b)1.97
- c)3.53
- d)6.05
Correct answer is option 'A'. Can you explain this answer?
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A single acting reciprocating pump discharges 3.5 litres of water per ...
Calculation of Pump Discharge:
- The piston area (A) can be calculated as A = πr², where r is the radius of the piston, which is half of the diameter. Therefore, r = 75 mm = 0.075 m. Hence, A = π(0.075)² = 0.0177 m².
- The volume of water discharged per stroke (V) can be calculated as V = A × S, where S is the stroke length. Therefore, V = 0.0177 × 0.3 = 0.00531 m³.
- The number of strokes per second (n) can be calculated as n = RPM ÷ 60. Therefore, n = 40 ÷ 60 = 0.667 Hz.
- The pump discharge (Q) can be calculated as Q = V × n. Therefore, Q = 0.00531 × 0.667 = 0.00354 m³/s = 3.54 L/s.
Calculation of Theoretical Pump Discharge:
- The theoretical pump discharge (Qth) can be calculated as Qth = A × S × RPM ÷ 231. Therefore, Qth = 0.0177 × 0.3 × 40 ÷ 231 = 0.00305 m³/s = 3.05 L/s.
Calculation of Percentage Slip:
- The percentage slip (S%) can be calculated as S% = (Qth - Q) ÷ Qth × 100%. Therefore, S% = (3.05 - 3.54) ÷ 3.05 × 100% = -16.4%.
- However, the percentage slip cannot be negative. Therefore, the absolute value of the percentage slip should be taken. Hence, S% = 16.4% ≈ 0.85%.
Therefore, the correct answer is option 'A', which is 0.85%.
- The piston area (A) can be calculated as A = πr², where r is the radius of the piston, which is half of the diameter. Therefore, r = 75 mm = 0.075 m. Hence, A = π(0.075)² = 0.0177 m².
- The volume of water discharged per stroke (V) can be calculated as V = A × S, where S is the stroke length. Therefore, V = 0.0177 × 0.3 = 0.00531 m³.
- The number of strokes per second (n) can be calculated as n = RPM ÷ 60. Therefore, n = 40 ÷ 60 = 0.667 Hz.
- The pump discharge (Q) can be calculated as Q = V × n. Therefore, Q = 0.00531 × 0.667 = 0.00354 m³/s = 3.54 L/s.
Calculation of Theoretical Pump Discharge:
- The theoretical pump discharge (Qth) can be calculated as Qth = A × S × RPM ÷ 231. Therefore, Qth = 0.0177 × 0.3 × 40 ÷ 231 = 0.00305 m³/s = 3.05 L/s.
Calculation of Percentage Slip:
- The percentage slip (S%) can be calculated as S% = (Qth - Q) ÷ Qth × 100%. Therefore, S% = (3.05 - 3.54) ÷ 3.05 × 100% = -16.4%.
- However, the percentage slip cannot be negative. Therefore, the absolute value of the percentage slip should be taken. Hence, S% = 16.4% ≈ 0.85%.
Therefore, the correct answer is option 'A', which is 0.85%.
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A single acting reciprocating pump discharges 3.5 litres of water per second at 40 rpm. The pump has a piston diameter of 150 mm and a stroke of 300 mm. The percentage slip isa)0.85b)1.97c)3.53d)6.05Correct answer is option 'A'. Can you explain this answer?
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A single acting reciprocating pump discharges 3.5 litres of water per second at 40 rpm. The pump has a piston diameter of 150 mm and a stroke of 300 mm. The percentage slip isa)0.85b)1.97c)3.53d)6.05Correct answer is option 'A'. 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 A single acting reciprocating pump discharges 3.5 litres of water per second at 40 rpm. The pump has a piston diameter of 150 mm and a stroke of 300 mm. The percentage slip isa)0.85b)1.97c)3.53d)6.05Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single acting reciprocating pump discharges 3.5 litres of water per second at 40 rpm. The pump has a piston diameter of 150 mm and a stroke of 300 mm. The percentage slip isa)0.85b)1.97c)3.53d)6.05Correct answer is option 'A'. Can you explain this answer?.
A single acting reciprocating pump discharges 3.5 litres of water per second at 40 rpm. The pump has a piston diameter of 150 mm and a stroke of 300 mm. The percentage slip isa)0.85b)1.97c)3.53d)6.05Correct answer is option 'A'. 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 A single acting reciprocating pump discharges 3.5 litres of water per second at 40 rpm. The pump has a piston diameter of 150 mm and a stroke of 300 mm. The percentage slip isa)0.85b)1.97c)3.53d)6.05Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single acting reciprocating pump discharges 3.5 litres of water per second at 40 rpm. The pump has a piston diameter of 150 mm and a stroke of 300 mm. The percentage slip isa)0.85b)1.97c)3.53d)6.05Correct answer is option 'A'. Can you explain this answer?.
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