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Taking the acceleration due to gravity to be 10 m/s2, the separation factor of a cyclone 0.5 m in diameter and having a tangential velocity of 20 m/s near the wall is_____
Important : you should answer only the numeric value
Correct answer is '160'. Can you explain this answer?
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Taking the acceleration due to gravity to be 10 m/s2, the separation f...
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Taking the acceleration due to gravity to be 10 m/s2, the separation f...
Given:
Diameter of cyclone = 0.5 m
Acceleration due to gravity = 10 m/s^2
Tangential velocity near the wall = 20 m/s
To find:
Separation factor
Solution:
The separation factor (K) for a cyclone is given by the expression:
K = (r2 - r1) / (r1 x ω)
where r2 = outer radius of the cyclone,
r1 = inner radius of the cyclone,
ω = angular velocity of the cyclone
We know that the diameter of the cyclone is 0.5 m.
So, the radius of the cyclone (r2) = 0.25 m (since diameter = 2 x radius)
Let us assume that the inner radius of the cyclone (r1) is 0.1 times the outer radius (r2).
So, r1 = 0.1 x 0.25 m = 0.025 m
The tangential velocity near the wall is given as 20 m/s.
We know that tangential velocity (Vt) = r x ω
where r = radius of the cyclone,
ω = angular velocity of the cyclone
Substituting the values, we get:
20 = 0.25 x ω
ω = 80 rad/s
Now, substituting the values of r2, r1 and ω in the expression for K, we get:
K = (0.25 - 0.025) / (0.025 x 80)
K = 160
Therefore, the separation factor of the cyclone is 160.
Diameter of cyclone = 0.5 m
Acceleration due to gravity = 10 m/s^2
Tangential velocity near the wall = 20 m/s
To find:
Separation factor
Solution:
The separation factor (K) for a cyclone is given by the expression:
K = (r2 - r1) / (r1 x ω)
where r2 = outer radius of the cyclone,
r1 = inner radius of the cyclone,
ω = angular velocity of the cyclone
We know that the diameter of the cyclone is 0.5 m.
So, the radius of the cyclone (r2) = 0.25 m (since diameter = 2 x radius)
Let us assume that the inner radius of the cyclone (r1) is 0.1 times the outer radius (r2).
So, r1 = 0.1 x 0.25 m = 0.025 m
The tangential velocity near the wall is given as 20 m/s.
We know that tangential velocity (Vt) = r x ω
where r = radius of the cyclone,
ω = angular velocity of the cyclone
Substituting the values, we get:
20 = 0.25 x ω
ω = 80 rad/s
Now, substituting the values of r2, r1 and ω in the expression for K, we get:
K = (0.25 - 0.025) / (0.025 x 80)
K = 160
Therefore, the separation factor of the cyclone is 160.
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Taking the acceleration due to gravity to be 10 m/s2, the separation factor of a cyclone 0.5 m in diameter and having a tangential velocity of 20 m/s near the wall is_____Important : you should answer only the numeric valueCorrect answer is '160'. Can you explain this answer?
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Taking the acceleration due to gravity to be 10 m/s2, the separation factor of a cyclone 0.5 m in diameter and having a tangential velocity of 20 m/s near the wall is_____Important : you should answer only the numeric valueCorrect answer is '160'. 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 Taking the acceleration due to gravity to be 10 m/s2, the separation factor of a cyclone 0.5 m in diameter and having a tangential velocity of 20 m/s near the wall is_____Important : you should answer only the numeric valueCorrect answer is '160'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Taking the acceleration due to gravity to be 10 m/s2, the separation factor of a cyclone 0.5 m in diameter and having a tangential velocity of 20 m/s near the wall is_____Important : you should answer only the numeric valueCorrect answer is '160'. Can you explain this answer?.
Taking the acceleration due to gravity to be 10 m/s2, the separation factor of a cyclone 0.5 m in diameter and having a tangential velocity of 20 m/s near the wall is_____Important : you should answer only the numeric valueCorrect answer is '160'. 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 Taking the acceleration due to gravity to be 10 m/s2, the separation factor of a cyclone 0.5 m in diameter and having a tangential velocity of 20 m/s near the wall is_____Important : you should answer only the numeric valueCorrect answer is '160'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Taking the acceleration due to gravity to be 10 m/s2, the separation factor of a cyclone 0.5 m in diameter and having a tangential velocity of 20 m/s near the wall is_____Important : you should answer only the numeric valueCorrect answer is '160'. Can you explain this answer?.
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