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A large concrete slab 1 m thick has one dimensional temperature distribution:
T = 4 - 10x + 20x2 + 10x3
where T is temperature and x is distance from one face towards other face of wail. If the slab material has thermal diffusivity of 2 x 10-3m2/hr, what is the rate of change of temperature at the other face of the wall?
T = 4 - 10x + 20x2 + 10x3
where T is temperature and x is distance from one face towards other face of wail. If the slab material has thermal diffusivity of 2 x 10-3m2/hr, what is the rate of change of temperature at the other face of the wall?
- a)0.1°C/h
- b)0.2°C/h
- c)0.3°C/h
- d)0.4°C/h
Correct answer is option 'B'. Can you explain this answer?
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To find the rate of change of temperature at the other face of the wall, we need to differentiate the temperature function with respect to x and evaluate it at the other face (x = 1).
Differentiating the temperature function, we get:
dT/dx = -10 - 40x + 30x^2
Now, we can substitute x = 1 into the derivative to find the rate of change of temperature at the other face:
dT/dx = -10 - 40(1) + 30(1)^2
= -10 - 40 + 30
= -20
Therefore, the rate of change of temperature at the other face of the wall is -20 degrees per meter.
Differentiating the temperature function, we get:
dT/dx = -10 - 40x + 30x^2
Now, we can substitute x = 1 into the derivative to find the rate of change of temperature at the other face:
dT/dx = -10 - 40(1) + 30(1)^2
= -10 - 40 + 30
= -20
Therefore, the rate of change of temperature at the other face of the wall is -20 degrees per meter.
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A large concrete slab 1 m thick has one dimensional temperature distribution:T = 4 - 10x + 20x2 + 10x3where T is temperature and x is distance from one face towards other face of wail. If the slab material has thermal diffusivity of 2 x 10-3m2/hr, what is the rate of change of temperature at the other face of the wall?a)0.1°C/hb)0.2°C/hc)0.3°C/hd)0.4°C/hCorrect answer is option 'B'. Can you explain this answer?
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A large concrete slab 1 m thick has one dimensional temperature distribution:T = 4 - 10x + 20x2 + 10x3where T is temperature and x is distance from one face towards other face of wail. If the slab material has thermal diffusivity of 2 x 10-3m2/hr, what is the rate of change of temperature at the other face of the wall?a)0.1°C/hb)0.2°C/hc)0.3°C/hd)0.4°C/hCorrect answer is option 'B'. 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 large concrete slab 1 m thick has one dimensional temperature distribution:T = 4 - 10x + 20x2 + 10x3where T is temperature and x is distance from one face towards other face of wail. If the slab material has thermal diffusivity of 2 x 10-3m2/hr, what is the rate of change of temperature at the other face of the wall?a)0.1°C/hb)0.2°C/hc)0.3°C/hd)0.4°C/hCorrect answer is option 'B'. 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 large concrete slab 1 m thick has one dimensional temperature distribution:T = 4 - 10x + 20x2 + 10x3where T is temperature and x is distance from one face towards other face of wail. If the slab material has thermal diffusivity of 2 x 10-3m2/hr, what is the rate of change of temperature at the other face of the wall?a)0.1°C/hb)0.2°C/hc)0.3°C/hd)0.4°C/hCorrect answer is option 'B'. Can you explain this answer?.
A large concrete slab 1 m thick has one dimensional temperature distribution:T = 4 - 10x + 20x2 + 10x3where T is temperature and x is distance from one face towards other face of wail. If the slab material has thermal diffusivity of 2 x 10-3m2/hr, what is the rate of change of temperature at the other face of the wall?a)0.1°C/hb)0.2°C/hc)0.3°C/hd)0.4°C/hCorrect answer is option 'B'. 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 large concrete slab 1 m thick has one dimensional temperature distribution:T = 4 - 10x + 20x2 + 10x3where T is temperature and x is distance from one face towards other face of wail. If the slab material has thermal diffusivity of 2 x 10-3m2/hr, what is the rate of change of temperature at the other face of the wall?a)0.1°C/hb)0.2°C/hc)0.3°C/hd)0.4°C/hCorrect answer is option 'B'. 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 large concrete slab 1 m thick has one dimensional temperature distribution:T = 4 - 10x + 20x2 + 10x3where T is temperature and x is distance from one face towards other face of wail. If the slab material has thermal diffusivity of 2 x 10-3m2/hr, what is the rate of change of temperature at the other face of the wall?a)0.1°C/hb)0.2°C/hc)0.3°C/hd)0.4°C/hCorrect answer is option 'B'. Can you explain this answer?.
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