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A metal piece of length 60 cm has a cross section corresponding to a sector of a circle of radius 10 cm and included angle 60°. Its ends are maintained at 125°C and 25°C and thermal conductivity of the material has a linear variation with temp as (K = 100 - 0.01T) kcal/m - hr°C. The amount of heat flow (in kcal/hr) through the metallic piece is _______
(Neglect heat transfer in radial and angular direction)
    Correct answer is between '84,88'. Can you explain this answer?
    Most Upvoted Answer
    A metal piece of length 60 cm has a cross section corresponding to a s...
    To find the length of the arc of the sector, we use the formula:

    Arc length = (angle/360) * (2 * π * radius)

    Given that the angle is 60 degrees and the radius is 10 cm, we can substitute these values into the formula:

    Arc length = (60/360) * (2 * π * 10)
    Arc length = (1/6) * (2 * 3.14159 * 10)
    Arc length = (1/6) * (62.8318)
    Arc length = 10.47197 cm

    Therefore, the length of the arc of the sector is approximately 10.47197 cm.

    Since the metal piece has a length of 60 cm, we can divide the length of the arc by the total length of the metal piece to find the fraction of the metal piece that corresponds to the sector:

    Fraction = Length of arc / Total length of metal piece
    Fraction = 10.47197 cm / 60 cm
    Fraction = 0.174533

    Therefore, the fraction of the metal piece that corresponds to the sector is approximately 0.174533, or 17.45%.
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    A metal piece of length 60 cm has a cross section corresponding to a sector of a circle of radius 10 cm and included angle 60°. Its ends are maintained at 125°C and 25°C and thermal conductivity of the material has a linear variation with temp as (K = 100 - 0.01T) kcal/m - hr°C. The amount of heat flow (in kcal/hr) through the metallic piece is _______(Neglect heat transfer in radial and angular direction)Correct answer is between '84,88'. Can you explain this answer?
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    A metal piece of length 60 cm has a cross section corresponding to a sector of a circle of radius 10 cm and included angle 60°. Its ends are maintained at 125°C and 25°C and thermal conductivity of the material has a linear variation with temp as (K = 100 - 0.01T) kcal/m - hr°C. The amount of heat flow (in kcal/hr) through the metallic piece is _______(Neglect heat transfer in radial and angular direction)Correct answer is between '84,88'. 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 A metal piece of length 60 cm has a cross section corresponding to a sector of a circle of radius 10 cm and included angle 60°. Its ends are maintained at 125°C and 25°C and thermal conductivity of the material has a linear variation with temp as (K = 100 - 0.01T) kcal/m - hr°C. The amount of heat flow (in kcal/hr) through the metallic piece is _______(Neglect heat transfer in radial and angular direction)Correct answer is between '84,88'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A metal piece of length 60 cm has a cross section corresponding to a sector of a circle of radius 10 cm and included angle 60°. Its ends are maintained at 125°C and 25°C and thermal conductivity of the material has a linear variation with temp as (K = 100 - 0.01T) kcal/m - hr°C. The amount of heat flow (in kcal/hr) through the metallic piece is _______(Neglect heat transfer in radial and angular direction)Correct answer is between '84,88'. Can you explain this answer?.
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