The system below consists of a header tank of constant cross-sectional area of 0.36m? that is...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The system below consists of a header tank of constant cross-sectional area of 0.36m? that is filled with lubricating oil. The tank is designed to feed the turbocharger of a large diesel engine in the case of a power black-out. The tank must provide oil to the turbocharger to prevent damage during its emergency shut-down which takes approximately 10 seconds. In order to maintain oil pressure to the turbocharger the oil must not drop below a height of 10cm during these 10 seconds. OIL IN OIL OUT (a) Form a differential equation that represents the system. (b) Solve the differential equation given that h = h, at t = 0. %3D (c) Determine the time it will take for the tank to reach the minimum level of 10cm if the initial height of oil, h, is 50cm and k = 0.05, plot a graph of h against and hence decide if the tank is suitable. The system below consists of a header tank of constant cross-sectional area of 0.36m? that is filled with lubricating oil. The tank is designed to feed the turbocharger of a large diesel engine in the case of a power black-out. The tank must provide oil to the turbocharger to prevent damage during its emergency shut-down which takes approximately 10 seconds. In order to maintain oil pressure to the turbocharger the oil must not drop below a height of 10cm during these 10 seconds. OIL IN OIL OUT (a) Form a differential equation that represents the system. (b) Solve the differential equation given that h = h, at t = 0. %3D (c) Determine the time it will take for the tank to reach the minimum level of 10cm if the initial height of oil, h, is 50cm and k = 0.05, plot a graph of h against and hence decide if the tank is suitable.
Expert Answer:
Related Book For
Fundamentals of Thermodynamics
ISBN: 978-0471152323
6th edition
Authors: Richard E. Sonntag, Claus Borgnakke, Gordon J. Van Wylen
Posted Date:
Students also viewed these mechanical engineering questions
-
We are interested in predicting the time it will take for popcorn kernels to pop in a fluidized bed. The superficial air velocity inside the bed is 3 m/s, which is above the minimum fluidization...
-
A steel tank of cross sectional area 3 m2 and 16 m tall weighs 10 000 kg and it is open at the top. We want to float it in the ocean so it sticks 10 m straight down by pouring concrete into the...
-
A steel tank of cross sectional area 3 m2 and 16 m tall weighs 10 000 kg and it is open at the top. We want to float it in the ocean so it sticks 10 m straight down by pouring concrete into the...
-
QUESTION Mahkota Oil Sdn Bhd has been involved in the palm oil processing industry for several years. It has a steady market and competing successfully with other more expensive vegetable oil...
-
Shuffle a deck of cards and turn over the first card. What is the sample space of this experiment? How many outcomes are in the event that the first card is a heart?
-
Refer to the previous exercise about the popular science fiction video game Halo. a. Use a theory-based approach to run an ANOVA test to investigate whether the average number of assists (data file...
-
In 2014, Air Asia Flight No. 8501 crashed in the Java Sea while flying from Indonesia to Singapore. The crash resulted in the deaths of all passengers and crew on board. The plane involved in the...
-
The famous Y. S. Chang Restaurant is open 24 hours a day. Waiters and busboys report for duty at 3 A.M., 7 A.M., 11 A.M., 3 P.M., 7 P.M., or 11 P.M., and each works an 8-hour shift. The following...
-
Q. In order to attain economic progress, humans use the natural resources of the planet. Nature is fashioned into products for human consumption. This economic activity is needed to create jobs and...
-
Identify by letter the curve you would expect in the titration of a solution containing (a) Disodium maleate, Na 2 M, with standard acid. (b) Pyruvic acid, HP, with standard base. (c) Sodium...
-
Determine the rank of the matrix - 3 - 15 3 A = 12 -1 3 l' rank CA) = 5 d. rank CA) = 2 3. rank CA)= 1 4. rank (A)= 4 5. rank (A) = 3
-
Simplify the following Boolean Equation using Boolean Algebra properties: Z = (X+Y + (X* (X + Y))) + (X + Y + W) Select one: O a. Z = (X+Y) + (W + X)* (W + Y) b. Z = X* Y c. Z = W + X O O d. Z =...
-
public class TestString1 { public static void main(String [] args) { String st1= "Hello"; String st2 = new String(st1); System.out.println(st1==st2); } } What is the output of the above program?
-
6. Consider the grammar with the following rules: SaBA, A bBb, B Ac | z. Find FIRST sets of S, A, B. FIRST of a symbol is the set of all terminals that could start that symbol. (15 pts)
-
Which if the following statements are true about financial accounting? O external managers typically require continuous, detailed information because they must plan and manage the day - today...
-
Trace the following code and write the outputs below X = 0 S=0 while X < 5: if X > 2: S = S + 1 X = X+1 print(s)
-
Jayson is the manufacturing supervisor at a guacamole factory. They are working on cost classifications to better identify areas where they may need to curb costs. They are reviewing the property tax...
-
One of the significant and relevant accounts for this cycle is equipment. For this account, what would typically be the most relevant assertions for the auditor to consider? Why is it important for...
-
A steam turbine has an inlet of 2 kg/s water at 1000 kPa, 350oC and velocity of 15 m/s. The exit is at 100 kPa, x = 1 and very low velocity. Find the specific work and the power produced.
-
A 25-L tank, shown in Fig. P6.111, that is initially evacuated is connected by a valve to an air supply line flowing air at 20C, 800 kPa. The valve is opened, and air flows into the tank until the...
-
The gas mixture from Problem 12.31 is compressed in a reversible adiabatic process from the initial state in the sample cylinder to a volume of 0.2 L. Determine the final temperature of the mixture...
-
Show that the Lorentz group commutation relations (13.20) are satisfied by the choices \(K_{i}= \pm \frac{i}{2} \sigma_{i}\) and \(J_{i}=\frac{1}{2} \sigma_{i}\), where the \(\sigma_{i}\) are Pauli...
-
Find the relationship of the eight SU(3) operators \(T_{ \pm}, V_{ \pm}, U_{ \pm}, T_{3}\), and \(Y\) defined in Eqs. (8.2) and (8.7)-(8.8), and the nine oscillator operators \(\left(A_{i}^{j}...
-
Verify that the set of matrices (5.14) is closed under ordinary matrix multiplication. Data from Eq. 5.14 T(oc)= = 629 > - (+19) TOO) = (721) TO) = ( ). T(oa)= T(b) TO) -(11) T(4-(11) TO=(9) T(C3)= =
Study smarter with the SolutionInn App