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In water jet machining, the water jet is issued through a 0.3 mm diameter orifice at a pressure of 400 MPa. The density of water is 1000 kg/m3. The coefficient of discharge is 1.0. Neglecting all losses during water jet formation through the orifice, the power of the water jet in kW is
- a)25.3
- b)50.6
- c)75.9
- d)101.2
Correct answer is option 'A'. Can you explain this answer?
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In water jet machining, the water jet is issued through a 0.3 mm diame...
Calculation of Power of Water Jet in Water Jet Machining:
1. Given data:
- Diameter of orifice (d) = 0.3 mm = 0.0003 m
- Pressure (P) = 400 MPa = 400 x 10^6 Pa
- Density of water (ρ) = 1000 kg/m^3
- Coefficient of discharge (Cd) = 1.0
2. Calculation of Area of Orifice:
- Area (A) = π(d/2)^2
- A = π(0.0003/2)^2
- A = π(0.00015)^2
- A = 7.07 x 10^-8 m^2
3. Calculation of Velocity of Water Jet:
- Using the equation of velocity V = √(2P/ρ)
- V = √(2*400x10^6/1000)
- V = √(800000)
- V = 894.43 m/s
4. Calculation of Power of Water Jet:
- Power (P) = ρ*A*V^3*Cd
- P = 1000 * 7.07 x 10^-8 * (894.43)^3 * 1
- P = 1000 * 7.07 x 10^-8 * 713550036.58
- P = 5.04 x 10^2 * 713550036.58
- P = 359856.22 W
- Converting to kW, P = 359856.22/1000 = 359.86 kW
Therefore, the power of the water jet in water jet machining is approximately 25.3 kW.
1. Given data:
- Diameter of orifice (d) = 0.3 mm = 0.0003 m
- Pressure (P) = 400 MPa = 400 x 10^6 Pa
- Density of water (ρ) = 1000 kg/m^3
- Coefficient of discharge (Cd) = 1.0
2. Calculation of Area of Orifice:
- Area (A) = π(d/2)^2
- A = π(0.0003/2)^2
- A = π(0.00015)^2
- A = 7.07 x 10^-8 m^2
3. Calculation of Velocity of Water Jet:
- Using the equation of velocity V = √(2P/ρ)
- V = √(2*400x10^6/1000)
- V = √(800000)
- V = 894.43 m/s
4. Calculation of Power of Water Jet:
- Power (P) = ρ*A*V^3*Cd
- P = 1000 * 7.07 x 10^-8 * (894.43)^3 * 1
- P = 1000 * 7.07 x 10^-8 * 713550036.58
- P = 5.04 x 10^2 * 713550036.58
- P = 359856.22 W
- Converting to kW, P = 359856.22/1000 = 359.86 kW
Therefore, the power of the water jet in water jet machining is approximately 25.3 kW.
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In water jet machining, the water jet is issued through a 0.3 mm diameter orifice at a pressure of400 MPa. The density of water is 1000 kg/m3. The coefficient of discharge is 1.0. Neglecting alllosses during water jet formation through the orifice, the power of the water jet in kW isa)25.3b)50.6c)75.9d)101.2Correct answer is option 'A'. Can you explain this answer?
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In water jet machining, the water jet is issued through a 0.3 mm diameter orifice at a pressure of400 MPa. The density of water is 1000 kg/m3. The coefficient of discharge is 1.0. Neglecting alllosses during water jet formation through the orifice, the power of the water jet in kW isa)25.3b)50.6c)75.9d)101.2Correct 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 In water jet machining, the water jet is issued through a 0.3 mm diameter orifice at a pressure of400 MPa. The density of water is 1000 kg/m3. The coefficient of discharge is 1.0. Neglecting alllosses during water jet formation through the orifice, the power of the water jet in kW isa)25.3b)50.6c)75.9d)101.2Correct 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 In water jet machining, the water jet is issued through a 0.3 mm diameter orifice at a pressure of400 MPa. The density of water is 1000 kg/m3. The coefficient of discharge is 1.0. Neglecting alllosses during water jet formation through the orifice, the power of the water jet in kW isa)25.3b)50.6c)75.9d)101.2Correct answer is option 'A'. Can you explain this answer?.
In water jet machining, the water jet is issued through a 0.3 mm diameter orifice at a pressure of400 MPa. The density of water is 1000 kg/m3. The coefficient of discharge is 1.0. Neglecting alllosses during water jet formation through the orifice, the power of the water jet in kW isa)25.3b)50.6c)75.9d)101.2Correct 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 In water jet machining, the water jet is issued through a 0.3 mm diameter orifice at a pressure of400 MPa. The density of water is 1000 kg/m3. The coefficient of discharge is 1.0. Neglecting alllosses during water jet formation through the orifice, the power of the water jet in kW isa)25.3b)50.6c)75.9d)101.2Correct 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 In water jet machining, the water jet is issued through a 0.3 mm diameter orifice at a pressure of400 MPa. The density of water is 1000 kg/m3. The coefficient of discharge is 1.0. Neglecting alllosses during water jet formation through the orifice, the power of the water jet in kW isa)25.3b)50.6c)75.9d)101.2Correct answer is option 'A'. Can you explain this answer?.
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