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Problem 1:
If one were to roll a tetrahedral (4-sided) die twelve times, show that the most likely outcome would be to get three rolls of each number (i.e. three 1's, three 2's, three 3's, and three 4's). Show your work.
problem 2:
A 300 hp (223.71 kW) truck engine consumes fuel at a rate of 10.567 gallons every hour (40 L/h). The fuel has a heating value of 45 MJ/kg and a density of 0.8 g/cm3. What is the thermal efficiency of this engine?
problem 3:
A 200 MW power plant creates steam by burning coal with a heating value of 25,000 kJ/kg. The coal-burning furnace requires 12 kg of air for every 1.0 kg of coal burned. If the power plant has an overall thermal efficiency of 32%, determine (a) the amount of coal consumed during one day in kg and (b) the mass flow rate of air through the furnace in kg/s.
you have a heat engine that has a thermal energy resevoir available at 500c the thermal energy to heat the engine is at
consider the 2d inviscid flow over a body of some known shape. write down general expressions for the total aerodynamic
Design a control system for an annealing furnace - Please describe any auxiliary equipment that needs to be considered. MEE 30002 Control Engineering
Knowing that crank AB rotates about point A with a constant angular velocity of 900 rpm clockwise, determine the acceleration of the piston P when θ = 120°.
a rectangular gate of 1m wide is hinged at its top edge shown as bellow. there is water at the right hand side of gate
during a break test the front wheel drive car is stopped from an initial speed of 60 mihr in 175 ft. if it known that
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The heat offusion of aluminum is 3.97 10^5 J/kg; the heat of fusion of mercury is 1.18 10^4. What is the effeciency of this engine?
the 0.78 kg bob of a pendulum is fired from rest at position a by a spring which has a stiffness of k 1.62 knm. the
a timber beam is to be selected to sustain a maximum transverse shear of vmax 50 kn without exceeding an allowable
two pipes are connected together in series. the diameter of one pipe is twice the diameter of the second pipe. with
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