System Dynamics
3rd Edition
ISBN: 9780073398068
Author: III William J. Palm
Publisher: MCG
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Chapter 7, Problem 7.44P
To determine
(a)
The thermal capacitance of the room.
To determine
(b)
The energy to raise the air temperature from
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Just do Questions 7, 9, 11. Here are notes attached for reference. I prefer handwritten solutions. ONLY UPLOAD A SOLUTION IF YOU ARE SURE ABOUT THE ANSWER PLEASE.
Example
Consider the simplified model of an automobile shown in Figure, let the parameter have the
values m = 1500 kg, Ic = 2000 kg m2, k₁ = 36000 kg/m, k₁ = 40000 kg/m, a = 1.3 m
and b = 1.7 m, calculate the natural modes of the system and write the expression for the
response.
ט
0
Solution
T
Equilibrium position
6(1)
Chapter 7 Solutions
System Dynamics
Ch. 7 - Prob. 7.1PCh. 7 - Refer to the water storage and supply system shown...Ch. 7 - Prob. 7.3PCh. 7 - In Figure P7.4 the piston of area A is connected...Ch. 7 - Refer to Figure 7.1.4a. and suppose that p\ — p2=...Ch. 7 - Pure water flows into a mixing tank of volume V =...Ch. 7 - Consider the mixing tank treated in Problem 7.6....Ch. 7 - Derive the expression for the fluid capacitance of...Ch. 7 - Prob. 7.9PCh. 7 - Prob. 7.10P
Ch. 7 - 7.11 Derive the expression for the capacitance of...Ch. 7 - Air flows in a certain cylindrical pipe 1 m long...Ch. 7 - Derive the expression for the linearized...Ch. 7 - Consider the cylindrical container treated in...Ch. 7 - A certain tank has a bottom area A = 20 m2. The...Ch. 7 - A certain tank has a circular bottom area A = 20...Ch. 7 - The water inflow rate to a certain tank was kept...Ch. 7 - Prob. 7.18PCh. 7 - Prob. 7.19PCh. 7 - In the liquid level system shown in Figure P7.20,...Ch. 7 - The water height in a certain tank was measured at...Ch. 7 - Derive the model for the system shown in Figure...Ch. 7 - (a) Develop a model of the two liquid heights in...Ch. 7 - Prob. 7.24PCh. 7 - Design a piston-type damper using an oil with a...Ch. 7 - Prob. 7.26PCh. 7 - 7.27 An electric motor is sometimes used to move...Ch. 7 - Prob. 7.28PCh. 7 - Prob. 7.29PCh. 7 - Figure P7.3O shows an example of a hydraulic...Ch. 7 - Prob. 7.31PCh. 7 - Prob. 7.32PCh. 7 - Prob. 7.33PCh. 7 - Prob. 7.34PCh. 7 - Prob. 7.35PCh. 7 - Prob. 7.36PCh. 7 - Prob. 7.37PCh. 7 - (a) Determine the capacitance of a spherical tank...Ch. 7 - Obtain the dynamic model of the liquid height It...Ch. 7 - Prob. 7.40PCh. 7 - Prob. 7.41PCh. 7 - Prob. 7.42PCh. 7 - Prob. 7.43PCh. 7 - Prob. 7.44PCh. 7 - Prob. 7.45PCh. 7 - The copper shaft shown in Figure P7.46 consists of...Ch. 7 - A certain radiator wall is made of copper with a...Ch. 7 - A particular house wall consists of three layers...Ch. 7 - A certain wall section is composed of a 12 in. by...Ch. 7 - Prob. 7.50PCh. 7 - Prob. 7.51PCh. 7 - A steel tank filled with water has a volume of...Ch. 7 - Prob. 7.53PCh. 7 - Prob. 7.54PCh. 7 - Prob. 7.55P
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- 6.3 Contamination of vegetable oil Vegetable oil is used in a food processing factory to prepare instant breadcrumbs. A stirred tank is used to hold the oil. During operation of the breadcrumb process, oil is pumped from the tank at a rate of 4.8 1 h-¹. At 8 PM during the night shift, the tank is mistakenly connected to a drum of cod liver oil, which is then pumped into the tank. The volume of vegetable oil in the tank at 8 PM is 60 1. (a) If the flow rate of cod liver oil into the tank is 7.5 1h-1 and the tank has a maximum capacity of 100 1, will the tank overflow before the factory manager arrives at 9 AM? Assume that the density of both oils is the same. (b) If cod liver oil is pumped into the tank at a rate of 4.8 1 h 1 instead of 7.5 1 h−1, what is the composition of oil in the tank at midnight?arrow_forward6.1 Dilution of sewage In a sewage treatment plant, a large concrete tank initially contains 440,000 litres of liquid and 10,000 kg of fine suspended solids. To flush this material out of the tank, water is pumped into the vessel at a rate of 40,000 1 h −1. Liquid containing solids leaves at the same rate. Estimate the concentration of suspended solids in the tank at the end of 5 h. State your assumptions.arrow_forward6.13 Heating glycerol solution An adiabatic stirred tank is used to heat 100 kg of a 45% glycerol solution in water. An electrical coil delivers 2.5 kW of power to the tank; 88% of the energy delivered by the coil goes into heating the vessel contents. The glycerol solution is initially at 15°C. (a) Write a differential equation for the energy balance. (b) Integrate the equation to obtain an expression for temperature as a function of time. (c) Assuming glycerol and water form an ideal solution, how long will the solution take to reach 90°C?arrow_forward
- please find Ix and Iy in mm4arrow_forwardHomework#7arrow_forwardComputing Angles of Rotation and Angles of Tilt In each of the following problems, the axis of a hole is shown in a rectangular solid. In order to position the hole axis for drilling, the angle of rotation and the angle of tilt must be determined. Compute angles to the nearer minute in triangles with customary unit sides. Compute angles to the nearer hundredth degree in triangles with metric unit sides. a. Compute the angle of rotation, R. b. Compute the angle of tilt, T. 7. Given: H= 2.600 in. L = 2.400 in. a. W= 1.900 in. 8. Given: H= 55.00 mm b. Use this figure for #7 and #8. AXIS OF HOLE L 48.00 mm W= 30.00 mm H a. b. 9. Given: H = 4.750 in. L = 4.000 in. W= 3.750 in. a. 10. Given: H=42.00 mm b. L37.00 mm W = 32.00 mm a. b. 11. Given: H = 0.970 in. L = 0.860 in. W= 0.750 in. a. 12. Given: H= 22.00 mm L 18.00 mm = W = 15.00 mm a. b. Use this figure for #9 and #10. ZR AXIS OF HOLE Use this figure for #11 and #12. H b. L AXIS OF HOLE Tarrow_forward
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