Answer:
a)temperature=69.1C
b)3054Kw
Explanation:
Hello!
To solve this problem follow the steps below, the complete procedure is in the attached image
1. draw a complete outline of the problem
2. to find the temperature at the turbine exit use termodinamic tables to find the saturation temperature at 30kPa
note=Through laboratory tests, thermodynamic tables were developed, these allow to know all the thermodynamic properties of a substance (entropy, enthalpy, pressure, specific volume, internal energy etc ..)
through prior knowledge of two other properties such as pressure and temperature.
3. Using thermodynamic tables find the enthalpy and entropy at the turbine inlet, then find the ideal enthalpy using the entropy of state 1 and the outlet pressure = 30kPa
4. The efficiency of the turbine is defined as the ratio between the real power and the ideal power, with this we find the real enthalpy.
Note: Remember that for a turbine with a single input and output, the power is calculated as the product of the mass flow and the difference in enthalpies.
5. Find the real power of the turbine
Assumptions:
- Steady state.
- Air as working fluid.
- Ideal gas.
- Reversible process.
- Ideal Otto Cycle.
Explanation:
Otto cycle is a thermodynamic cycle widely used in automobile engines, in which an amount of gas (air) experiences changes of pressure, temperature, volume, addition of heat, and removal of heat. The cycle is composed by (following the P-V diagram):
- Intake <em>0-1</em>: the mass of working fluid is drawn into the piston at a constant pressure.
- Adiabatic compression <em>1-2</em>: the mass of working fluid is compressed isentropically from State 1 to State 2 through compression ratio (r).
![r =\frac{V_1}{V_2}](https://tex.z-dn.net/?f=r%20%3D%5Cfrac%7BV_1%7D%7BV_2%7D)
- Ignition 2-3: the volume remains constant while heat is added to the mass of gas.
- Expansion 3-4: the working fluid does work on the piston due to the high pressure within it, thus the working fluid reaches the maximum volume through the compression ratio.
![r = \frac{V_4}{V_3} = \frac{V_1}{V_2}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7BV_4%7D%7BV_3%7D%20%3D%20%5Cfrac%7BV_1%7D%7BV_2%7D)
- Heat Rejection 4-1: heat is removed from the working fluid as the pressure drops instantaneously.
- Exhaust 1-0: the working fluid is vented to the atmosphere.
If the system produces enough work, the automobile and its occupants will propel. On the other hand, the efficiency of the Otto Cycle is defined as follows:
![\eta = 1-(\frac{1}{r^{\gamma - 1} } )](https://tex.z-dn.net/?f=%5Ceta%20%3D%201-%28%5Cfrac%7B1%7D%7Br%5E%7B%5Cgamma%20-%201%7D%20%7D%20%29)
where:
![\gamma = \frac{C_{p} }{C_{v}} : specific heat ratio](https://tex.z-dn.net/?f=%5Cgamma%20%3D%20%5Cfrac%7BC_%7Bp%7D%20%7D%7BC_%7Bv%7D%7D%20%3A%20specific%20heat%20ratio)
Ideal air is the working fluid, as stated before, for which its specific heat ratio can be considered constant.
![\gamma = 1.4](https://tex.z-dn.net/?f=%5Cgamma%20%3D%201.4)
Answer:
See image attached.
Answer:
metals, composite, ceramics and polymers.
Explanation:
The four categories of engineering materials used in manufacturing are metals, composite, ceramics and polymers.
i) Metals: Metals are solids made up of atoms held by matrix of electrons. They are good conductors of heat and electricity, ductile and strong.
ii) Composite: This is a combination of two or more materials. They have high strength to weight ratio, stiff, low conductivity. E.g are wood, concrete.
iii) Ceramics: They are inorganic, non-metallic crystalline compounds with high hardness and strength as well as poor conductors of electricity and heat.
iv) Polymers: They have low weight and are poor conductors of electricity and heat
Complete Question
The cars of a roller-coaster ride have a speed of 19.0 km/h as they pass over the top of the circular track. Neglect any friction and calculate their speed v when they reach the horizontal bottom position. At the top position, the radius of the circular path of their mass centers is 21 m, and all six cars have the same mass.V = -18 m What is v?X km/h
Answer:
![v=23.6m/s](https://tex.z-dn.net/?f=v%3D23.6m%2Fs)
Explanation:
Velocity ![v_c=18.0km/h](https://tex.z-dn.net/?f=v_c%3D18.0km%2Fh)
Radius ![r=21m](https://tex.z-dn.net/?f=r%3D21m)
initial velocity u![u=19=>5.27778](https://tex.z-dn.net/?f=u%3D19%3D%3E5.27778)
Generally the equation for Angle is mathematically given by
![\theta=\frac{v_c}{2r}](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cfrac%7Bv_c%7D%7B2r%7D)
![\theta=\frac{18}{2*21}](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cfrac%7B18%7D%7B2%2A21%7D)
![\theta=0.45](https://tex.z-dn.net/?f=%5Ctheta%3D0.45)
![\theta=25.7831 \textdegree](https://tex.z-dn.net/?f=%5Ctheta%3D25.7831%20%5Ctextdegree)
Generally
Height of mass
![h=\frac{rsin\theta}{\theta}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7Brsin%5Ctheta%7D%7B%5Ctheta%7D)
![h=\frac{21sin25.78}{0.45}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B21sin25.78%7D%7B0.45%7D)
![h=20.3m](https://tex.z-dn.net/?f=h%3D20.3m)
Generally the equation for Work Energy is mathematically given by
![0.5mv_0^2+mgh=0.5mv^2](https://tex.z-dn.net/?f=0.5mv_0%5E2%2Bmgh%3D0.5mv%5E2)
Therefore
![v=\sqrt{u^2+2gh}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7Bu%5E2%2B2gh%7D)
![v=\sqrt{=5.27778^2+2*9.81*20.3}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%3D5.27778%5E2%2B2%2A9.81%2A20.3%7D)
![v=23.6m/s](https://tex.z-dn.net/?f=v%3D23.6m%2Fs)
Any point on earth can be located by specifying its latitude and longitude, including Washington, DC, which is pictured here. Lines of latitude and longitude form an imaginary global grid system, shown in Fig. 1.17. Any point on the globe can be located exactly by specifying its latitude and longitude.