Steel ball bearings (k = 50 W/m K, a = 1.3 x 105 m²/s) having a diameter of 40 mm are heated to a temperature of 650°C and then quenched in a tank of oil at " T = Last 2 digits of Student ID Number" °C. If the heat transfer coefficient between the ball bearings and oil is 300 W /m ² K. Determine: (a) the duration of time the bearings must remain in oil to reach a temperature of 200°C (b) the total amount of heat removed from each bearing during this time and (c) the instantaneous heat transfer rate from the bearings when they are first immersed in oil and when they reach 200°C.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Last digit is= 47
Steel ball bearings (k = 50 W/m K, a = 1.3 x 105 m²/s) having a diameter of 40 mm are heated
to a temperature of 650°C and then quenched in a tank of oil at " T = Last 2 digits of Student
ID Number" °C. If the heat transfer coefficient between the ball bearings and oil is 300 W/m ²
K.
Determine:
(a) the duration of time the bearings must remain in oil to reach a temperature of 200°C
(b) the total amount of heat removed from each bearing during this time and
(c) the instantaneous heat transfer rate from the bearings when they are first immersed in oil
and when they reach 200°C.
Transcribed Image Text:Steel ball bearings (k = 50 W/m K, a = 1.3 x 105 m²/s) having a diameter of 40 mm are heated to a temperature of 650°C and then quenched in a tank of oil at " T = Last 2 digits of Student ID Number" °C. If the heat transfer coefficient between the ball bearings and oil is 300 W/m ² K. Determine: (a) the duration of time the bearings must remain in oil to reach a temperature of 200°C (b) the total amount of heat removed from each bearing during this time and (c) the instantaneous heat transfer rate from the bearings when they are first immersed in oil and when they reach 200°C.
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