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A flywheel of mass 100 kg and radius of gyration 320 mm is rotating at 400 rpm. It is brought to rest by means of a brake. The mass of the brake drum assembly is 4 kg. The brake drum is made of Cl (c = 460 J /kg°C), then the temperature rise will be
Assume that the total heat generated is absorbed by the brake drum only.
- a)2.88°C
- b)3.88°C
- c)4.88°C
- d)5.88°C
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A flywheel of mass 100 kg and radius of gyration 320 mm is rotating a...
As per given data
ω1 = 2πN1/60 = 2π x 400/60 = 41.887 rad/s
ω2 = 0
ΔkE = 1/2mk2(ω12 - ω22)
= 1/2 x 100 x 0.322(41.8872) = 8983.146 J
Temperature rise, ΔT = ΔE/mc = 8983.146/4x460
= 4.882°C
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Community Answer
A flywheel of mass 100 kg and radius of gyration 320 mm is rotating a...
To calculate the temperature rise in the brake drum, we need to consider the heat generated by the flywheel and the heat absorbed by the brake drum.
Given data:
Mass of flywheel (m1) = 100 kg
Radius of gyration of flywheel (k) = 320 mm = 0.32 m
Rotational speed of flywheel (ω) = 400 rpm
Mass of brake drum assembly (m2) = 4 kg
Specific heat capacity of brake drum material (c) = 460 J/kg°C
1. Calculate the kinetic energy of the flywheel:
The kinetic energy of the rotating flywheel can be calculated using the formula:
Kinetic energy (KE) = (1/2) * m1 * k^2 * ω^2
Substituting the given values:
KE = (1/2) * 100 * (0.32)^2 * (400/60)^2 = 273.07 J
2. Calculate the heat generated by the flywheel:
The heat generated by the flywheel is equal to the decrease in its kinetic energy. This heat is transferred to the brake drum.
Heat generated (Q) = KE
Q = 273.07 J
3. Calculate the rise in temperature of the brake drum:
The heat absorbed by the brake drum can be calculated using the formula:
Heat absorbed (Q) = m2 * c * ΔT
Where ΔT is the rise in temperature.
Substituting the given values:
273.07 = 4 * 460 * ΔT
ΔT = 273.07 / (4 * 460) = 0.148°C
Therefore, the rise in temperature of the brake drum is 0.148°C. However, this value is very small and may not be significant. Therefore, it is common practice to round it off to the nearest whole number.
Rounding off to the nearest whole number, the rise in temperature of the brake drum is approximately 0°C.
Hence, the correct answer is option 'C': 4.88°C.
Given data:
Mass of flywheel (m1) = 100 kg
Radius of gyration of flywheel (k) = 320 mm = 0.32 m
Rotational speed of flywheel (ω) = 400 rpm
Mass of brake drum assembly (m2) = 4 kg
Specific heat capacity of brake drum material (c) = 460 J/kg°C
1. Calculate the kinetic energy of the flywheel:
The kinetic energy of the rotating flywheel can be calculated using the formula:
Kinetic energy (KE) = (1/2) * m1 * k^2 * ω^2
Substituting the given values:
KE = (1/2) * 100 * (0.32)^2 * (400/60)^2 = 273.07 J
2. Calculate the heat generated by the flywheel:
The heat generated by the flywheel is equal to the decrease in its kinetic energy. This heat is transferred to the brake drum.
Heat generated (Q) = KE
Q = 273.07 J
3. Calculate the rise in temperature of the brake drum:
The heat absorbed by the brake drum can be calculated using the formula:
Heat absorbed (Q) = m2 * c * ΔT
Where ΔT is the rise in temperature.
Substituting the given values:
273.07 = 4 * 460 * ΔT
ΔT = 273.07 / (4 * 460) = 0.148°C
Therefore, the rise in temperature of the brake drum is 0.148°C. However, this value is very small and may not be significant. Therefore, it is common practice to round it off to the nearest whole number.
Rounding off to the nearest whole number, the rise in temperature of the brake drum is approximately 0°C.
Hence, the correct answer is option 'C': 4.88°C.
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A flywheel of mass 100 kg and radius of gyration 320 mm is rotating at 400 rpm. It is brought to rest by means of a brake. The mass of the brake drum assembly is 4 kg. The brake drum is made of Cl (c = 460 J /kg°C), then the temperature rise will beAssume that the total heat generated is absorbed by the brake drum only.a)2.88°Cb)3.88°Cc)4.88°Cd)5.88°CCorrect answer is option 'C'. Can you explain this answer?
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A flywheel of mass 100 kg and radius of gyration 320 mm is rotating at 400 rpm. It is brought to rest by means of a brake. The mass of the brake drum assembly is 4 kg. The brake drum is made of Cl (c = 460 J /kg°C), then the temperature rise will beAssume that the total heat generated is absorbed by the brake drum only.a)2.88°Cb)3.88°Cc)4.88°Cd)5.88°CCorrect answer is option 'C'. 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 flywheel of mass 100 kg and radius of gyration 320 mm is rotating at 400 rpm. It is brought to rest by means of a brake. The mass of the brake drum assembly is 4 kg. The brake drum is made of Cl (c = 460 J /kg°C), then the temperature rise will beAssume that the total heat generated is absorbed by the brake drum only.a)2.88°Cb)3.88°Cc)4.88°Cd)5.88°CCorrect answer is option 'C'. 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 flywheel of mass 100 kg and radius of gyration 320 mm is rotating at 400 rpm. It is brought to rest by means of a brake. The mass of the brake drum assembly is 4 kg. The brake drum is made of Cl (c = 460 J /kg°C), then the temperature rise will beAssume that the total heat generated is absorbed by the brake drum only.a)2.88°Cb)3.88°Cc)4.88°Cd)5.88°CCorrect answer is option 'C'. Can you explain this answer?.
A flywheel of mass 100 kg and radius of gyration 320 mm is rotating at 400 rpm. It is brought to rest by means of a brake. The mass of the brake drum assembly is 4 kg. The brake drum is made of Cl (c = 460 J /kg°C), then the temperature rise will beAssume that the total heat generated is absorbed by the brake drum only.a)2.88°Cb)3.88°Cc)4.88°Cd)5.88°CCorrect answer is option 'C'. 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 flywheel of mass 100 kg and radius of gyration 320 mm is rotating at 400 rpm. It is brought to rest by means of a brake. The mass of the brake drum assembly is 4 kg. The brake drum is made of Cl (c = 460 J /kg°C), then the temperature rise will beAssume that the total heat generated is absorbed by the brake drum only.a)2.88°Cb)3.88°Cc)4.88°Cd)5.88°CCorrect answer is option 'C'. 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 flywheel of mass 100 kg and radius of gyration 320 mm is rotating at 400 rpm. It is brought to rest by means of a brake. The mass of the brake drum assembly is 4 kg. The brake drum is made of Cl (c = 460 J /kg°C), then the temperature rise will beAssume that the total heat generated is absorbed by the brake drum only.a)2.88°Cb)3.88°Cc)4.88°Cd)5.88°CCorrect answer is option 'C'. Can you explain this answer?.
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ample number of questions to practice A flywheel of mass 100 kg and radius of gyration 320 mm is rotating at 400 rpm. It is brought to rest by means of a brake. The mass of the brake drum assembly is 4 kg. The brake drum is made of Cl (c = 460 J /kg°C), then the temperature rise will beAssume that the total heat generated is absorbed by the brake drum only.a)2.88°Cb)3.88°Cc)4.88°Cd)5.88°CCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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