Please make sure to display your thought process? It is imperative to be able to follow how the answer was deduced. Please be as thorough as possible. Please address all parts of this question as they are all part and critical to answering this question correctly. Please show good integrity when answering the question:

1) A sample of cross-linked natural rubber (polyisoprene) is found to have a shear modulus of 500 kPa at 25˚C. Determine the force needed to stretch a 100 mm long rod to 150 mm. Note that the original circular cross-section of the rod was 1.0 mm in diameter. What is the diameter of this rod of natural rubber while stretched to 150 mm?

USE EXCEL OR MATLAB IF YOU NEED

Given the dry-bulb temperature, T_db and relative humidity, Φ, the wet-bulb, T_wb temperature may be calculated from the psychrometric equation (Jones, 1994):

P_vsΦ – P_ss = P_atmA (T_wb -T_db )                                              (1)

Use your input from the Table below.

The input T_wb and T_db are in ^oC (used in Eqs. (2) and (3) in Kelvin).   

P_ss = saturated vapor pressure at T_wb (kPa)

P_vs = saturated vapor pressure at T_db (kPa)   

P_ss = 10^[30.59051- 8.2 log₁₀ T_wb + 0.0024804 T_wb – 3142.31/ T_wb] ..........(2)

and

P_vs = 10^[30.59051- 8.2 log₁₀ T_db + 0.0024804 T_db – 3142.31/ T_db]     ........(3)

In the above two equations T is in Kelvin and P in kPa (you have to convert the temperatures from the input in ^oC to Kelvin).

P_atm= atmospheric pressure (kPa) (P_atm =101.325 kPa)

T_db = dry-bulb temperature (^oC)

T_wb = wet-bulb temperature (^oC)

A    = 6.66x10^-4 C^-1 (constant for sling psychrometer)

Φ = relative humidity (%) used in the calculations as (%/100). For example, for 80% relative humidity, input 0.8.

Solve Equation (1) for the wet-bulb temperature using Newton-Raphson method. The input is as follows: T_db= in ^oC and Φ= in % (to be converted in the program to fraction, i.e., Φ=50% means Φ=0.5). Set the tolerance to 10^-4 . In other words, the absolute difference between the results of two successive iterations should not be more than 10^-4. Check your answer using Psychrometric chart/Thermo Textbook. Also, to check if your results are correct, use f=100% and you should get T_wb=T_db. S is yourlisting number.

Explain the difference between parabolic dish and trough by drawing both the schematics, Discuss which one is better and why?

Neat and clean schematic diagram of both.

1. Suppose there a joint where 13 bolts (M14 x 2, ISO 9.8) are on a 200 mm bolt circle. The bolts are zinc-plated and installed for permanent installation. The maximum total load is 400,000 N and the minimum load is 100,000 N. The top member of the joint is cast-iron (E = 100,000 MPa) and 20 mm thick, while the bottom member is steel that is 40 mm thick.

e) What is the factor of safety in yield, np?

f) What is the load factor of safety, nL?

g) What is the joint separation factor of safety, nO?

h) What is the fatigue factor of safety, nf?

i) Is this joint safe in both static and fatigue loading?

j) What is the torque required to make up the bolts to the required pre-load, in N-mm?

How to make a PERT Chart on Excel with example project?

A reheat Rankine cycle operates with water as the working fluid. Steam enters the first turbine at 8 MPa and 450◦C and exits at 0.8 MPa. It is then reheated at 400◦C before entering the second turbine, where it exits at 10 kPa. If the amount of work into the pump is 8.04 kJ/kg and the net work per cycle produced is 1410.5 kJ/kg, determine the thermal efficiency. Assume no pressure losses in the condenser or the boiler.

Assume you are working on an ideal gas-turbine cycle that has three stages of compression with intercooling and three stages of expansion with reheating at 100 kPa and 290 K. This system uses a regenerator as well. The pressure ratio across each stage of the compressor and turbine is 3; the air temperature when entering the turbine is 1300 K; and the regenerator operates perfectly. Draw the T − s diagram of this system. Determine the mass flow rate of the air passing through the system, the rates of heat addition and rejection when this cycle produces 1000 hp and thermal efficiency of the system. Assume isentropic operations for all the compressor and turbine stages and use constant specific heats at room temperature. Also assume negligible changes in kinetic and potential energy

In a thermofluids lab, a student is analysing a prototype single-pass cross-flow heat exchanger used to cool water from 90oC to 60oC by transferring its heat to an air stream with an inlet temperature of 30oC without mixing. The water and air flow rates are 42,000 kg/h and 180,000 kg/h respectively. Assume that for the water cp=4.18kJ/kg⋅oC and for the air cp=1.02kJ/kg⋅oC. Calculate the log mean temperature difference for this heat exchanger.

An insulated, rigid vessel is initially empty (evacuated). However, it is connected to a steam line that is maintained at 200 psia and 745 ∘ ∘ F. The valve is opened until the flow into the tank slows and stops (which occurs when the pressure in the tank is equal to the pressure in the steam line), at which point the valve is closed. What is the temperature within the vessel?

State 1 of an Air-Standard Otto cycle (prior to compression) has T1= 290 K, p1= 0.911 bar and V1= 5.5 litres.

If the air is compressed with volumetric compression ratio rv= 7.6, determine System mass m，Specific internal energy of the compressed state u2 and Input work W

Due to the Covid-19 problem, Hamdin needs to measure a perimeter of a lake to build a
fence. He asked Marzu, Wahib and Usman to run the measurement and report to him
immediately. Marzu informed that the perimeter was “1200 footsteps”, while Wahib
mentioned the perimeter was “1100 footsteps”. Later on, Usman came and told that the size
was “1300 footsteps”.
i) Discuss in terms of measurement, why there were the different answers of the
perimeter from Marzu, Wahib and Usman although they were measuring the same
lake?

ii) Please propose a new method of measurement to improve the precision and
accuracy of the perimeter measurement?

)Explain in general in which area you would apply similarity concept along your career as a mechanical engineer. How will it benefit you and your organisation.

b) A three-dimentional flow velocity can be measured by using various method. Please name two devices that use a probe and two sophisticated devices without a probe usage for the three-dimentional flow velocity measurement.

A three-dimentional flow velocity can be measured by using various method.

a. Name two devices that use a probe for the three-dimentional flow velocity measurement..

b. Name two sophisticated devices without a probe usage for the three-dimentional flow velocity measurement.

A steam power plant operates on a regenerative Rankine cycle. Steam enters the turbine at 6 MPa at 700 ºC and the condenser at 10 kPa. Turbine has isentropic efficiency of 85% and pumps have isentropic efficiency of 90%. Steam is extracted from the turbine at 0.6 MPa to heat the feedwater in an open feedwater heater. Water leaves the open feedwater heater as saturated liquid.

a) Draw the system with labels and show the ideal and the non-ideal cycle on a T-s diagram with complete labels. )

b) Determine the fraction of steam extracted for regeneration.

) c) Calculate the heat duty for boiler and condenser. If the net power output of the power cycle is 200 MW, determine the flow rate of the steam through the boiler. )

d) Determine the thermal efficiency of the cycle.

e) How regenerative Rankine cycle can improve the efficiency of a power cycle?)

f) Explain the differences between Carnot Cycle and Rankine cycle. Why Rankine Cycle is more practical than Carnot Cycle?