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Question: Important parameters for this assignment Table 1: Default parameters for kinematics and kinetics ... Important...

Question: Important parameters for this assignment Table 1: Default parameters for kinematics and kinetics ...

Important parameters for this assignment

Table 1: Default parameters for kinematics and kinetics analysis of cricket bowling

Velocity of bowler’s run = 8 m/s

Length of arm = 0.8 m

Height of ball at release = 2.4 m

Mass moment of inertia of the arm, I = 0.64 kgm^2

Length of a cricket pitch = 20 m

Coefficient of restitution between ball and pitch = 0.8

Question 1. By considering work and energy conservation (not covered in this unit), we arrive at the following equation that relates torque (T [Nm]), angular displacement (? [rad]), the mass moment of inertia of the arm (I [kg m2]), and angular velocity (? [rad/s]): ???? = 1/2* ????^2 Use the above expression to calculate the linear tangential velocity of the ball, v [m/s] when it is released by the bowler after a rotation of 225°, with an estimated torque applied to the shoulder of 100 Nm (Figure 1). (1 mark)

Question2. The linear tangential velocity of the ball, v you have calculated in Question 1 is relative to the bowler. Furthermore, it is directed an angle, ? of 5° below the horizontal (see Figure 3). Given that the bowler was running at a horizontal velocity (vbowler) of 8 m/s during the release, use your knowledge of vector arithmetic to calculate:

(a) The absolute velocity vector of the ball after release.

(b) The magnitude of the ball’s absolute velocity after release.

After being released, the ball will follow a defined trajectory as it falls to the ground under the influence of gravity.

Question 3 Use your knowledge of particle kinematics to determine:

(a) The velocity vector of the ball just before it hits the ground.

(b) The magnitude of the ball’s velocity just before it hits the ground.

The ball will bounce after it hits the ground. We can simulate the trajectory of this bounce using the principle of conservation of linear momentum and the coefficient of restitution. Unlike the 1D rectilinear motion example covered in lectures however, we are dealing with a 2D coordinate system here. Thus, we will need to perform our analysis in each of the x and y-coordinates separately to determine the velocity of the ball after impact with the ground.

Question 4. By considering conservation of momentum and the coefficient of restitution, calculate: (a) The velocity vector of the ball after impact with the ground.

(b) The magnitude of the ball’s velocity after impact with the ground.

Hint: The velocity of the ground remains 0 [m/s] before and after impact, and you may assume that the impact dominantly affects the vertical speed of the ball.

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In an oil fired boiler the fuel had an analysis by mass: carbon 84%, Hydrogen 11%, Sulphur 3%, and Oxygen 2%, remained incombustible. The analysis of dry gas flue gas by volume gave: combined CO2 9.7%, CO 0.5%, O2 2.95%, and N2 86.85%, there being no SO3. Calculate per kg of fuel: 1- Mass of air supplied. 2- Percentage excess air supplied. 3- Mass of flue gas formed. 4- Mass of water vapor formed.

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what is the effect of heat treatment process on aircraft turbine ..with explaining?

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You are on a factory visit to a plant for food products. Rushing through the factory, you hear that a vapor compression cycle with refrigerant HFC-134a as the working fluid is being used. You see that they use a throttle valve as part of the system and that one part of the cycle is running at 0.32 MPa and another part of the cycle is running at 1.6 MPa. If the compressor is 80% efficient and throttle, condenser, and evaporator are working ideally in a typical vapor compression cycle,

a)Calculate the coefficient of performance

b)Calculate the percentage of vapor present in the inlet to the evaporator

c)Calculate heat removal rate in the evaporator

d)Is this vapor compression cycle being used for freezing food/water? Explain why or why not.

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Air is compressed from an initial state of 1 bar and 298.15K to a final state of 5 bar and 295.15K by three different mechanically reversible processes in a closed system: • Heating at constant volume followed by cooling at constant pressure • Isothermal compression • Adiabatic compression followed by cooling at constant volume Show these processes in a PV diagram and calculate the work required, heat transferred, and the changes in internal energy and enthalpy of the air for each process. For air, Cv ig = 20.785 and Cp ig = 29.100 J/mol/K

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Calculate the heat-removal factor for a collector having an overall heat loss coefficient of 10 W/m2...

Calculate the heat-removal factor for a collector having an overall heat loss coefficient of 10 W/m2 K and constructed of copper fins and tubes (k = 390 W/m?K). Tube-to-tube center distance is 12 cm, fin thickness is 0.05 cm, tube diameter is 1.5 cm, and fluid-tube heat transfer coefficient is 1000 W/m2K. The cover transmittance to solar radiation is 0.8 and is independent of direction. The solar absorptance of the absorber plate is 0.9, the collector is 1 m wide and 2 m long, and the water flow rate is 0.03 kg/s. The water temperature is 330 K.

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4. Find the wavelength of radiation whose photons have energy equal to 1.4 eV.
i. 0.34 ?m
ii. 0.89 ?m
iii. 1.2 ?m
iv. 1.7 ?m


5. Explain (in words, not equations) what the Betz limit is and how it is derived.

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1. In the U.S., what percentage of the energy used to generate electricity is lost to...

1. In the U.S., what percentage of the energy used to generate electricity is lost to conversion efficiencies?
i. 20%
ii. 30%
iii. 40%
iv. 50%
v. 60%


2. What is wind turbine coefficient of performance?
i. The ratio of tip speed to incoming wind speed
ii. The ratio of AC to DC turbine power
iii. The ratio of power extracted by the turbine to the rated turbine power
iv. The ratio of the power extracted by the turbine to the power in the wind


3. What is the maximum wind turbine power that can be harvested using a wind turbine with a turbine radius = 0.2 m and wind speed = 3 m/s, air density = 1.23 kg/m3?
i. 0.23 W
ii. 0.41 W
iii. 0.70 W
iv. 0.82 W
v. 1.23 W

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A shell-and-tube heat exchanger heats oil from 2°C to 35°C using hot water. The oil flows in the shell in a single pass. Water flows in 5 copper tubes with a total (all tubes) rate of 0.5 kg/s. Each tube makes 4 passes through the shell and the length per pass is 4 m. The tube inner and outer diameters are 15 mm and 19 mm. The water enters at 95°C and leaves at 29°C.
1. Estimate the average convection coefficient for the tube inner surface.
2. Estimate the average convection coefficient for the tube outer surface.

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Air at a pressure of 1 atm and a temperature of 50°C is in parallel flow...

Air at a pressure of 1 atm and a temperature of 50°C is in parallel flow over the top surface of a flat plate that is heated to a uniform temperature of 100°C. The plate has a length of 0.24 m (in the flow direction) and a width of 0.12 m. The Reynolds number based on the plate length is 30,000. (a) What is the rate of heat transfer from the plate to the air? (b) If the free stream velocity of the air is doubled and the pressure is increased to 10 atm, what is the rate of heat transfer? Assume the critical Reynolds number is 5 x 105.

Determine the rate of heat transfer for (a), in W.
q a =  

Determine the rate of heat transfer for (b), in W.
q b =  

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