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Home Question Bank Engineering Archive 2025 January 19

Engineering Questions from Jan 19,2025

Browse the Engineering Q&A Archive for Jan 19,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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An electric circuit contains a 1-H inductor, a \( 4-\Omega \) resistor, and a voltage source of cos \( t \). differential equation relating the current \( i \) and the time \( t \) is \( \mathrm{di} / \mathrm{dt}+4 \mathrm{i}=\cos \mathrm{t} \). Find \( i \) after method with \( \Delta \mathrm{t}=0.1 \mathrm{~s} \) if the initial current is zero. Solve the equation exactly and comp Use Euler's method to find \( i \) after 0.5 s . approx \( =0.2192 \) A (Round the final answer to four decimal places as needed. Round all intermediate values decimal places as needed.) Solve the equation exactly to find \( i \) after 0.5 s . iexact \( =\square \) A (Round to four decimal places as needed.) 33. The reaction at the roller supported end of a beam is always A). Vertical B). Horizontal C). None of the above A fumace wall Consists of 200 mm layer of refractory bricks, 6 mm layer of stcel plate and a 100 mm layer of insulation bricks. The maximum temperature of the wall is \( 1150^{\circ} \mathrm{C} \) on the furnace side and the minimum temperature is \( 40^{\circ} \mathrm{C} \) on the outermost side of the wall. An aceurate energ balance over the furnace shows that the hoat lass from the wall is \( 400 \mathrm{~W} / \mathrm{m}^{2} \). It is known that there is thin layer of air between the layers of refraciory bricks and the steel plate. Thernal conductivities for three layers are \( 1,52,45 \) and \( 0,138 \mathrm{~W} / \mathrm{m} \) respectively. Find (1) To how many millimeters of insulation brick is the air layer equivalent. (ii) What is the temperature of the outer surface of the cted plate. A fumace wall Consists of 200 mm layer of refractory bricks, 6 mm layer of steal plate and a 100 mm layer of insulation bricks. The maximum temperature of the wall is \( 1150^{\circ} \mathrm{C} \) on the furnace side and the minimum temperature is \( {4 O^{\circ}}^{\circ} \mathrm{C} \) on the outermost side of the wall. An accurate energy batance over the furnace shows that the hoat lass from the wall is \( 400 \mathrm{~W} / \mathrm{m}^{2} \). It is known that there is a thin layer of air between the layers of refractory bricks and the steel plate. Thermal conductivities for the three layers are \( 1,52,45 \) and \( 0,138 \mathrm{~W} / \mathrm{mC} \) respectively. Find (1) To how many millimeters of insulation brick is The air layer equivalent. (ii) What is the temperature of the outer surface of the cted plate. A fumace wall consists of 200 mm lager of refractory bricks. The moximum temperatur the wale is \( 1150^{\circ} \mathrm{C} \) on the furnace side and the minimum temperature is \( 40^{\circ} \mathrm{C} \) on the eutcrmat side of the wall. Ar accurate energy batance orer the furnace shows that the heat loss from the wall is \( 400 \mathrm{~W} / \mathrm{m}^{2} \). It is known that there is a thin layer of air between the layers of refractory bricks and steel plate. Thormal Conductivities for the three layers are; 1.52 , 45 and 0.138 WlmC respecti Find: (i) 10 how many millimeters of insulation brick is the air layer equivalent. (ii) What is the temperature of the outer Suface of The steel plate. 1.3 The formula used to determine \( C R \) (compression ratio) when combustion and swept volumes are given is: \[ \begin{array}{l}C R=\frac{C V+S V}{S V} \\ C R=\text { compression ratio } \\ C V\end{array} \] \[ \begin{array}{l}\text { Where }=\text { combustion volume }\left(\mathrm{cm}^{3}\right)\end{array} \] Make volume \( \left(\mathrm{cm}^{3}\right) \) \( \begin{array}{l}\text { Hence, calculate the numerical value of } C V \text { if } S V=48 \mathrm{~cm}^{3} \text { and the } \\ \text { Compression ratio is equal to } 9,5: 1 .\end{array} \)
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