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Concrete mixture is made by mixing cement, stone and sand in a rotating cylindrical drum. If the drum rotates too fast, the ingredients remain stuck to the wall of the drum and proper mixing of ingredients does not take place. The maximum rotational speed of the drum in revolutions per minute(rpm) to ensure proper mixing is close to : (Take the radius of the drum to be 1.25 m and its axle to be horizontal) :
- a)0.4
- b)1.3
- c)8.0
- d)27.0
Correct answer is option 'D'. Can you explain this answer?
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Concrete mixture is made by mixing cement, stone and sand in a rotatin...
Solution:
Given, radius of the drum, r = 1.25 m
Let the maximum rotational speed of the drum be n rpm.
We know that the centrifugal force acting on an object moving in a circle is given by:
F = mrω²
where m is the mass of the object, r is the radius of the circle, and ω is the angular velocity of the object.
For the mixture in the drum, the centrifugal force acting on it should be less than or equal to its weight, so that it does not stick to the wall of the drum.
Let the mass of the mixture be M.
At the maximum rotational speed of the drum, the centrifugal force acting on the mixture is given by:
F = Mg = Mrω²
where g is the acceleration due to gravity.
Solving for ω, we get:
ω = √(g/r)
Substituting the given values, we get:
ω = √(9.8/1.25) ≈ 2.76 rad/s
Converting this to rpm, we get:
n = ω/(2π) × 60 ≈ 27.7 rpm
Therefore, the maximum rotational speed of the drum to ensure proper mixing of the concrete mixture is close to 27.0 rpm, which is given in option D.
Given, radius of the drum, r = 1.25 m
Let the maximum rotational speed of the drum be n rpm.
We know that the centrifugal force acting on an object moving in a circle is given by:
F = mrω²
where m is the mass of the object, r is the radius of the circle, and ω is the angular velocity of the object.
For the mixture in the drum, the centrifugal force acting on it should be less than or equal to its weight, so that it does not stick to the wall of the drum.
Let the mass of the mixture be M.
At the maximum rotational speed of the drum, the centrifugal force acting on the mixture is given by:
F = Mg = Mrω²
where g is the acceleration due to gravity.
Solving for ω, we get:
ω = √(g/r)
Substituting the given values, we get:
ω = √(9.8/1.25) ≈ 2.76 rad/s
Converting this to rpm, we get:
n = ω/(2π) × 60 ≈ 27.7 rpm
Therefore, the maximum rotational speed of the drum to ensure proper mixing of the concrete mixture is close to 27.0 rpm, which is given in option D.
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Concrete mixture is made by mixing cement, stone and sand in a rotating cylindrical drum. If the drum rotates too fast, the ingredients remain stuck to the wall of the drum and proper mixing of ingredients does not take place. The maximum rotational speed of the drum in revolutions per minute(rpm) to ensure proper mixing is close to : (Take the radius of the drum to be 1.25 m and its axle to be horizontal) :a)0.4b)1.3c)8.0d)27.0Correct answer is option 'D'. Can you explain this answer?
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Concrete mixture is made by mixing cement, stone and sand in a rotating cylindrical drum. If the drum rotates too fast, the ingredients remain stuck to the wall of the drum and proper mixing of ingredients does not take place. The maximum rotational speed of the drum in revolutions per minute(rpm) to ensure proper mixing is close to : (Take the radius of the drum to be 1.25 m and its axle to be horizontal) :a)0.4b)1.3c)8.0d)27.0Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Concrete mixture is made by mixing cement, stone and sand in a rotating cylindrical drum. If the drum rotates too fast, the ingredients remain stuck to the wall of the drum and proper mixing of ingredients does not take place. The maximum rotational speed of the drum in revolutions per minute(rpm) to ensure proper mixing is close to : (Take the radius of the drum to be 1.25 m and its axle to be horizontal) :a)0.4b)1.3c)8.0d)27.0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Concrete mixture is made by mixing cement, stone and sand in a rotating cylindrical drum. If the drum rotates too fast, the ingredients remain stuck to the wall of the drum and proper mixing of ingredients does not take place. The maximum rotational speed of the drum in revolutions per minute(rpm) to ensure proper mixing is close to : (Take the radius of the drum to be 1.25 m and its axle to be horizontal) :a)0.4b)1.3c)8.0d)27.0Correct answer is option 'D'. Can you explain this answer?.
Concrete mixture is made by mixing cement, stone and sand in a rotating cylindrical drum. If the drum rotates too fast, the ingredients remain stuck to the wall of the drum and proper mixing of ingredients does not take place. The maximum rotational speed of the drum in revolutions per minute(rpm) to ensure proper mixing is close to : (Take the radius of the drum to be 1.25 m and its axle to be horizontal) :a)0.4b)1.3c)8.0d)27.0Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Concrete mixture is made by mixing cement, stone and sand in a rotating cylindrical drum. If the drum rotates too fast, the ingredients remain stuck to the wall of the drum and proper mixing of ingredients does not take place. The maximum rotational speed of the drum in revolutions per minute(rpm) to ensure proper mixing is close to : (Take the radius of the drum to be 1.25 m and its axle to be horizontal) :a)0.4b)1.3c)8.0d)27.0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Concrete mixture is made by mixing cement, stone and sand in a rotating cylindrical drum. If the drum rotates too fast, the ingredients remain stuck to the wall of the drum and proper mixing of ingredients does not take place. The maximum rotational speed of the drum in revolutions per minute(rpm) to ensure proper mixing is close to : (Take the radius of the drum to be 1.25 m and its axle to be horizontal) :a)0.4b)1.3c)8.0d)27.0Correct answer is option 'D'. Can you explain this answer?.
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