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A true centrifugal casting operation needs to be performed horizontally to make copper tube section with outer diameter of 250 mm and inner diameter of 230 mm. The value of acceleration due to gravity, g = 10 m/s2. If a G-factor (ratio of centrifugal force to weight) of 60 is used for casting the tube, the rotational speed required is______ rpm (round off to the nearest integer).
Correct answer is '661.59'. Can you explain this answer?
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Most Upvoted Answer
A true centrifugal casting operation needs to be performed horizontall...
Given : OD = 250 mm , ID = 230 mm
g = 10 m/s2
60 × g= 125 ×10−3 × ω2
g = 10 m/s2
60 × g= 125 ×10−3 × ω2
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A true centrifugal casting operation needs to be performed horizontall...
Given data:
- Outer diameter of the copper tube (Do) = 250 mm = 0.25 m
- Inner diameter of the copper tube (Di) = 230 mm = 0.23 m
- Acceleration due to gravity (g) = 10 m/s2
- G-factor = 60
Calculating the rotational speed:
The centrifugal force (Fc) can be calculated using the formula:
Fc = G × g × m
Where,
G = G-factor
g = acceleration due to gravity
m = mass of the copper tube
The mass of the copper tube can be calculated using the formula:
m = ρ × V
Where,
ρ = density of copper
V = volume of the copper tube
The volume of the copper tube can be calculated using the formula:
V = π/4 × (Do2 - Di2) × L
Where,
π = 3.14159
L = length of the copper tube
Calculating the mass of the copper tube:
The density of copper (ρ) is approximately 8,960 kg/m3.
Using the given outer and inner diameters, we can calculate the average diameter (Da) of the copper tube:
Da = (Do + Di) / 2
Substituting the values, we get:
Da = (0.25 + 0.23) / 2 = 0.24 m
The length of the copper tube (L) is not provided in the given data. Therefore, we cannot determine the exact mass of the copper tube. However, we can proceed by assuming a certain length for the calculation.
Let's assume the length of the copper tube (L) to be 1 meter.
Now, substituting the values into the formula for volume, we get:
V = 3.14159/4 × (0.252 - 0.232) × 1 = 0.018849 m3
Substituting the density and volume values into the formula for mass, we get:
m = 8,960 × 0.018849 = 168.77744 kg
Calculating the rotational speed:
Now that we have the mass of the copper tube, we can calculate the centrifugal force.
Substituting the values into the formula for centrifugal force, we get:
Fc = 60 × 10 × 168.77744 = 101266.464 N
The centrifugal force (Fc) can also be calculated using the formula:
Fc = m × r × ω2
Where,
r = radius of the copper tube
ω = angular velocity (in radians per second)
The radius of the copper tube (r) can be calculated using the formula:
- Outer diameter of the copper tube (Do) = 250 mm = 0.25 m
- Inner diameter of the copper tube (Di) = 230 mm = 0.23 m
- Acceleration due to gravity (g) = 10 m/s2
- G-factor = 60
Calculating the rotational speed:
The centrifugal force (Fc) can be calculated using the formula:
Fc = G × g × m
Where,
G = G-factor
g = acceleration due to gravity
m = mass of the copper tube
The mass of the copper tube can be calculated using the formula:
m = ρ × V
Where,
ρ = density of copper
V = volume of the copper tube
The volume of the copper tube can be calculated using the formula:
V = π/4 × (Do2 - Di2) × L
Where,
π = 3.14159
L = length of the copper tube
Calculating the mass of the copper tube:
The density of copper (ρ) is approximately 8,960 kg/m3.
Using the given outer and inner diameters, we can calculate the average diameter (Da) of the copper tube:
Da = (Do + Di) / 2
Substituting the values, we get:
Da = (0.25 + 0.23) / 2 = 0.24 m
The length of the copper tube (L) is not provided in the given data. Therefore, we cannot determine the exact mass of the copper tube. However, we can proceed by assuming a certain length for the calculation.
Let's assume the length of the copper tube (L) to be 1 meter.
Now, substituting the values into the formula for volume, we get:
V = 3.14159/4 × (0.252 - 0.232) × 1 = 0.018849 m3
Substituting the density and volume values into the formula for mass, we get:
m = 8,960 × 0.018849 = 168.77744 kg
Calculating the rotational speed:
Now that we have the mass of the copper tube, we can calculate the centrifugal force.
Substituting the values into the formula for centrifugal force, we get:
Fc = 60 × 10 × 168.77744 = 101266.464 N
The centrifugal force (Fc) can also be calculated using the formula:
Fc = m × r × ω2
Where,
r = radius of the copper tube
ω = angular velocity (in radians per second)
The radius of the copper tube (r) can be calculated using the formula:
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A true centrifugal casting operation needs to be performed horizontally to make copper tube section with outer diameter of 250 mm and inner diameter of 230 mm. The value of acceleration due to gravity, g = 10 m/s2. If a G-factor (ratio of centrifugal force to weight) of 60 is used for casting the tube, the rotational speed required is______ rpm (round off to the nearest integer). Correct answer is '661.59'. Can you explain this answer?
Question Description
A true centrifugal casting operation needs to be performed horizontally to make copper tube section with outer diameter of 250 mm and inner diameter of 230 mm. The value of acceleration due to gravity, g = 10 m/s2. If a G-factor (ratio of centrifugal force to weight) of 60 is used for casting the tube, the rotational speed required is______ rpm (round off to the nearest integer). Correct answer is '661.59'. 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 true centrifugal casting operation needs to be performed horizontally to make copper tube section with outer diameter of 250 mm and inner diameter of 230 mm. The value of acceleration due to gravity, g = 10 m/s2. If a G-factor (ratio of centrifugal force to weight) of 60 is used for casting the tube, the rotational speed required is______ rpm (round off to the nearest integer). Correct answer is '661.59'. 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 true centrifugal casting operation needs to be performed horizontally to make copper tube section with outer diameter of 250 mm and inner diameter of 230 mm. The value of acceleration due to gravity, g = 10 m/s2. If a G-factor (ratio of centrifugal force to weight) of 60 is used for casting the tube, the rotational speed required is______ rpm (round off to the nearest integer). Correct answer is '661.59'. Can you explain this answer?.
A true centrifugal casting operation needs to be performed horizontally to make copper tube section with outer diameter of 250 mm and inner diameter of 230 mm. The value of acceleration due to gravity, g = 10 m/s2. If a G-factor (ratio of centrifugal force to weight) of 60 is used for casting the tube, the rotational speed required is______ rpm (round off to the nearest integer). Correct answer is '661.59'. 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 true centrifugal casting operation needs to be performed horizontally to make copper tube section with outer diameter of 250 mm and inner diameter of 230 mm. The value of acceleration due to gravity, g = 10 m/s2. If a G-factor (ratio of centrifugal force to weight) of 60 is used for casting the tube, the rotational speed required is______ rpm (round off to the nearest integer). Correct answer is '661.59'. 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 true centrifugal casting operation needs to be performed horizontally to make copper tube section with outer diameter of 250 mm and inner diameter of 230 mm. The value of acceleration due to gravity, g = 10 m/s2. If a G-factor (ratio of centrifugal force to weight) of 60 is used for casting the tube, the rotational speed required is______ rpm (round off to the nearest integer). Correct answer is '661.59'. Can you explain this answer?.
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A true centrifugal casting operation needs to be performed horizontally to make copper tube section with outer diameter of 250 mm and inner diameter of 230 mm. The value of acceleration due to gravity, g = 10 m/s2. If a G-factor (ratio of centrifugal force to weight) of 60 is used for casting the tube, the rotational speed required is______ rpm (round off to the nearest integer). Correct answer is '661.59'. Can you explain this answer?, a detailed solution for A true centrifugal casting operation needs to be performed horizontally to make copper tube section with outer diameter of 250 mm and inner diameter of 230 mm. The value of acceleration due to gravity, g = 10 m/s2. If a G-factor (ratio of centrifugal force to weight) of 60 is used for casting the tube, the rotational speed required is______ rpm (round off to the nearest integer). Correct answer is '661.59'. Can you explain this answer? has been provided alongside types of A true centrifugal casting operation needs to be performed horizontally to make copper tube section with outer diameter of 250 mm and inner diameter of 230 mm. The value of acceleration due to gravity, g = 10 m/s2. If a G-factor (ratio of centrifugal force to weight) of 60 is used for casting the tube, the rotational speed required is______ rpm (round off to the nearest integer). Correct answer is '661.59'. Can you explain this answer? theory, EduRev gives you an
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