In a tank heater with agitator, the relationship between the tank outlet temperature (T) and the heat given to the system by the heater connected to the tank (Q) is expressed by the model equation below. Accordingly, find the gain and time constant of the transfer function between temperature and heat. If the 1000 W heater power is suddenly increased by 25%, in how many minutes will the outlet temperature reach the new steady state value? (Note: The first steady state tank outlet temperature is 65 °C and the unit of time constant is minutes)

Q: The aluminum machine part is subjected to a moment of M-95 N-m. (Eigure 1) 10 mm 10 mm nm 20 mm 10…

A:

Q: A block with a mass of m = 1.8 kg rests on a wooden plank. The length of the wooden plank is 20 m…

A:

Q: In a Salvador Dali painting, a silver dinner tray has grown legs and starts running with a bowling…

A: Given: mpin=1.6 kgmlegs=40 kgh1=15 cmh2=12 cmh3=30 cmμs=0.3μk=0.22 To find: Max acceleration to not…

Q: A beam is loaded and supported as shown. (a) Use the double-integration method to determine the…

A: The values are w=18 kN/m, L=12.2 m, EI=50000 kNm2

Q: 6. The turbine of a ship has a mass of 4000 kg. and a radius of gyration of 480 mm. It rotates at…

A: m=4000 kgrk=0.48 mk = 480 mmω=2400 revminTravelling Velocity =15 msTime = 20 SecTotal angular moment…

Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

A: Volume of tank, V = 1.62 m3 Saturation temperature, T = 20°C Total pressure of air, P = 90 kPa…

Q: 2. Determin the net force on the gate where on side is water and on the other side is oil (GS=0.83).…

A:

Q: Consider the cooling system for the back of an integrated circuit. The chip has dimension 10 cmx 21…

A: Given-Infromation: Dimenisons:10cm×21cm.Evenly spaced fins:6.Length of fins:2cm.Thickness:…

Q: The rod AB is attached to collars at its ends by ball-and-socket joints. Collar A has a velocity v =…

A:

Q: The heat flux for stable film boiling on the outside of a horizontal cylinder or sphere of diameter…

A: The dimension of the following variable are as…

Q: 17.105 A 1.25-oz bullet is fired with a horizontal velocity of 950 ft/s into the 18-lb wooden beam…

A: Given, Mass of Bullet (Wb) = 1.25 oz Mass of Wooden Beam (Ww) = 18 lb Horizontal Velocity of bullet…

Q: Question #2: For the figure below, determine the moment of the 255 lb force about a line which…

A:

Q: A counterflow, concentric tube heat exchanger used for engine cooling has been in service for an…

A:

Q: The homogeneous sphere of mass m = 3.0 kg and radius r = 230 mm is placed on the incline of angle =…

A: The values are m=3 kg, r=0.23 m, θ=20°, vo=0, ωo=2.2 rad/s, μk=0.21

Q: The system in the Figure is in equilibrium. A mass M1 = 246.0 kg hangs from the end of a uniform…

A:

Q: The roller-coaster car depicted in Figure Q3 has an empty mass of 700 kg. Additionally, the…

A:

Q: Air at a temperature of 293 K and pressure of 1 atm flows isentropically at a velocity of 300 m/s.…

A: T=293KP=1atm=101.325kPaV=300m/scp=1004.5J/kgK

Q: Water at 12oC is supplied to a 40 mm diameter steel pipe at 9 bar gauge  pressure. The pipe is 125 m…

A:

Q: Q2: If the block is subjected to the centrally applied force of 600 kN, determine the average normal…

A: Given: the block is subjected to applied force =600 kN we have to find the average normal stress in…

Q: For the stress element below, when a = 6, b = 4, and c = 6, the principal stress σ1 , the largest…

A:

Q: The spring-mounted 0.92-kg collar A oscillates along the horizontal rod, which is rotating at the…

A: Given Datam=0.92 kgθ˙= 6.5rad/sr˙=850 mm/s=0.85m/sμk=0.52

Q: Situation 3: Determine the force in each member of the truss if W 100 kg. State if the member is in…

A:

Q: The composite shaft consists of a mid-section that includes the 1-in. diameter solid shaft and a…

A:

Q: Centroid, C (x, y), of composite bodies y 20 mm 150 mm 15 mm 100 mm- 42.5 mm B A C -15 mm 100 mm X

A:

Q: B) For the reversible heat engines operating in series, as shown in figure. Show the 3T₂ = T₁ + 2T3,…

A:

Q: Calculate the steady-state temperatures for nodes 1 to 9 in Figure P3-58. h = 25 W/m² °C T = 5°C 2 5…

A:

Q: A brand of toothpaste is made using a mixture of white and red paste. During the manufacturing…

A:

Q: A 1.5-in-diameter shaft is made from an elastic-plastic material as shown in the figure below. The…

A:

Q: How can the results of the chloride test be used to improve the overall efficiency of the boiler

A: A boiler is a closed vessel used to heat water or other fluids to produce steam or hot water for…

Q: When calculating "I", why have you used 50^3 x 24 rather than 24^3 x 50?

A: You have asked, When calculating "I", why have you used 50^3 x 24 rather than 24^3 x 50?

Q: Determine the magnitude and direction of the reaction force (F) at a 90° pipe bend that is passing a…

A: The mass flow rate is m˙=1200 kg/s. The diameter of the pipe is d=82 cm=0.82 m The pressure head at…

Q: Consider the cantilevered beam shown in the figure below. (Eigure 1) 300 lb 200 lb/ft 6 ft Express…

A:

Q: 5. The semicircular gate is hinged at point A. What is the necessary force P needed to hold the gate…

A: The required force P. Given: The radius of the gate is R=15-8=7 ft. FBD: The free-body diagram of…

Q: As part of a processing of biofuels, water is pumped into a circular tank with a diameter D₁, as…

A: For the solution refer below images.

Q: Air at 2.5 bar, 400 K is extracted from a main jet engine compressor for cabin cooling. The…

A:

Q: 93. The moment diagram for the fix-ended beam is shown in the below Figure. Determine the maximum…

A: The maximum deflection for the fixed ends with concentrate load W at a distance from end A.…

Q: 4. What is ductile brittle transition temperature? Draw a plot between impact energy of fcc, bcc and…

A:

Q: Determine the magnitude of the projection of the force F₁ along cable AC. Determine the angle…

A:

Q: Show that the theoretical head produced by a centrifugal pump can be expresses as H= R₁ - K₂Q U₂…

A:

Q: A ball of mass m and radius r rolls along an inclined plane for which the coefficient of static…

A:

Q: du Water flows past a flat plate that has a length L = 5 m and a width w = 2 m, as shown in Figure…

A: Given Data: Water flows past a flat plate  Plate Length L=5 m Plate Width w=2 m shear stress at the…

Q: Orange light of wavelength 0.61 µm in air enters a block of glass with &, = 1. 44. What color would…

A: The wavelength of orange light λo=0.61 μm The refractive index of glass εr=1.44

Q: A shear force of V=2.7 kips acts on the thin-walled section. Using dimensions of a 3 in., b-4 in., h…

A:

Q: Water enters a fountain through a pipe with a cross-sectional area A₁ at a flowrate Q. The pressure…

A:

Q: 1. A bituminous coal has the following composition as follows: C=71.5%, O=6%, S=4.6% W=3.4% H=5%…

A: Composition of bituminus coal,C=71.5%O=6%S=4.6%W=3.4%H=5%N=1.3%Ash=3.2%

Q: 25. A hydraulic cylinder imparts motion to point A which causes link BC to rotate about point C as…

A: The velocity of point A is Va⇀=-0.5i⇀ m/s The acceleration of point A is a⇀a=-2.5i⇀ m/s2 θ=36.87°

Q: Example 7 A zirconia-based ceramic has the spectral, hemispherical emissivity shown below and is…

A: Zirconia filament is operating at 3000 K. To find out total hemispherical emissivity.

Q: The figure shows an iron ball suspended by thread of negligible mass from an upright cylinder that…

A:

Q: 04: The following data refers to a steam urbine power plant employing one stage of regenerative feed…

A:

Q: Example 1 L = D a A₁ A₂ A₁ A₂ A3 Determine the view factors F12 and F21 for the following…

A:

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.