Find the area of the region that ties inside the curve ?? = 2 + 2 cos 2??, but outside the curve ?? = 2 + sin ??.

What pressure distribution? How does it relate to drag and lift coefficients?

A pump is used to circulate hot water in a home heating system. Water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. The inlet pressure and temperature are 14.7 lbf/in.², and 180°F, respectively; at the exit the pressure is 90 lbf/in.² The pump requires 1/35 hp of power input. Water can be modeled as an incompressible substance with constant density of 60.58 lb/ft³ and constant specific heat of 1 Btu/lb · °R.


Neglecting kinetic and potential energy effects, determine the temperature change, in °R, as the water flows through the pump.

Carbon monoxide gas (CO) contained within a piston– cylinder assembly undergoes three processes in series:

Process 1–2: Expansion from p₁ = 4.5 bar, V₁ = 0.8 m³ to V₂ = 1.4 m³, during which the pressure-volume relationship is pV = constant.

Process 2–3: Constant-volume heating from state 2 to state 3, where p₃ = 4.5 bar.

Process 3–1: Constant-pressure compression to the initial state.

Evaluate the overall work, in kJ and graph

A car needs to be towed and is attached to the tow vehicle by a 3.5m long 18mm diameter nylon rope. The tow vehicle is moving 5km/hr and takes up the slack in the rope which results in a sudden load being applied to the rope. The tow vehicle has a mass of 1.8tonnes and the car being towed is initially stationary. If the towing vehicle is instantly slowed to 0.5km/hr by the shock load, (E=2GPa for the rope) determine:
a) The maximum stress induced in the rope. b) The maximum extension of the rope.
c) The factor of safety if the UTS of the rope is 220MPa

Air flows through a constant area duct. The pressure and temperature of the air at the inlet to the duct are P1 = 100 kPa absolute, and T1 = 298 K, respectively. Inlet Mach number is M1 = 0.1. Heat is transferred to the air as it flows through the duct and as a result the Mach number at the exit increases.

Write a Matlab code and plot the following:

a) Find the pressure and temperature at the exit, while the exit Mach number changes between M=0.2 to 0.99 with

increments of ?M=0.01.

b) Find the amount of heat that is transferred to the air per unit mass of air.

Air flows in a pipe with a diameter, D=50 mm. The inlet conditions are: M1 = 3; total pressure,
P01 = 1000 kPa absolute; and temperature, T1 = 550 K. The friction coefficient is, f = 0.004. The exit Mach number decreases with the length of the pipe.

Plot the following while the exit Mach number to be changed from 2.5 to 0.99 with decrements of ?M=0.01:
a) L, length of the pipe that is going to give the desired exit Mach number,

b) the P2, pipe exit pressure,

c) T2, pipe exit temperature, and

d) P02, pipe exit total pressure.

Make sure that each plot has a title and that the axes of the plots are labeled. Assume that the flow is steady and adiabatic. Use ?=1.4 and Cp = 1004.5 J / ( kg . K ).

dimensioning and toleransing symbology

discuss following: write 150 words minimum

1) the development of dimensional control

2) design through teamwork

3) professions and trades affected by dimensions

4) required dimensioning skills

5) orthographic projection

6) future trends

**** I have answered those qustions but I can NOT read those hand writings*****

An object of irregular shape has a characteristic length of 1 m and is maintained at a uniform surface temperature of 450 K. When placed in atmospheric air at a temperature of T? 300 K and moving with a velocity of 100 m/s, the average heat flux from the surface to the air is 20,000 W/m2. If a second object of the same shape, but with a characteristic length of 5 m, is maintained at a surface temperature of 450 K and is placed in atmospheric air at T? 300 K, what will the value of the average convection coefficient be if the air velocity is 20 m/s?

Use MATLAB to determine the intersection point for the sets of equations shown below. Use the backslash when possible.Graph the equations with different colors, and plot the intersection point with a red star marker. If the equations do not intersect, graph them anyway.

Include a legend:

a) -4x1 + 2x2 = 10                                                                                b)-4x1+2x2^3 = 10

x1 + x2 = -8                                                                                           x1+ x2 = -8                   

What are the other components that can improve the COP. Draw the P-h diagram to explain the process.

What is the principle operation of the evaporator?

How do the condensers reject heat?

Alloy element content has an effect on the ductile-to-brittle transition temperature of a steel. How does increasing the Mn content of a steel affect the transition temperature?