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Twelve people are given two identical speakers. which they are asked to listen to for differences, if any. Suppose that these people answer simply by guessing. Find the probability that three people claim to have heard a difference between the two speakers.
An employee is selected from a staff of 10 to supervise a certain project by selecting a tag at random from a box containing 10 tags numbered from 1 to 10. (a) Find the formula for the probability distributions of X representing the number on the tag that is drawn. (b) What is the probability that the number drawn is less than 4? (c) Find the mean and variance of the random variable X.
Starting with n=1,considering even and odd number separately. Find the general term for the sequence 1,1/3,1/3,1/5,1/5,1/7,1/7,1/9,1/9,...
A 300mm square column is reinforced with 3Φ16 bars at each of the two critical faces. If C25 concrete and steel with fyk=300MPa is used, compute the ultimate axial compressive force the section can safely resist.
design a circuit Vo=2V1-3V2+3V3-4V4
Find out about the wall construction (number and type of layers) of a sauna (treatment and/or relaxation room as illustrated in Figure 6), thereby determining the heat transfer mode, the range of ambient conditions under which they operate, typical heat transfer coefficients on the inner and outer surfaces of the wall, and the heat generation rates inside. Determine the size and methodology of the heating and air-conditioning system that will be able to maintain the typical sauna conditions, for when 10 persons are inside the sauna at the same time.
A tank of volume 0.00354 m3 contains 0.00292 kg of saturated water vapour at 0.143 MPa. A line is attached to the tank in which water vapour flows at 0.7 MPa and 200 °C. Steam from this line enters the tank until the pressure in the tank is 0.7 MPa.
i) Why can this process be analysed as uniform flow?
[2 marks]
ii) State THREE assumptions, other than uniform flow, that must be made when analysing this process.
[3 marks]
ii) Use the mass balance to write an expression for the final mass of steam, m2, in the tank.
[2 marks]
iii) Write an expression for the energy balance for the system based on the assumptions made in part (ii) and calculate the mass of steam that enters the tank. The properties of steam under these conditions are:
hin = 2845.3 kJkg-1 u1 = 2517.6 kJkg-1 and u2 = 2749.9 kJkg-
1
[5 marks] v) Predict and explain what would happen to the temperature of the steam in the tank during this process.
[3 marks]
Two large plane surface are 30 mm apart and the space between them is filled with a liquid of viscosity of 0.74 Pa*s. Assuming the velocity gradient to be straight line, what force in newton is required to pull a very thin plate of 6.02 square feet area at a constant speed at 1.64 ft/s. If the plate is 7.5 mm from one of the surfaces? *
A reservoir of carbon tetrachloride (CCL4) has a mass of 245.23 kg and a volume of 3.39 cubic feet. Find the CCL4's weight, mass density, specific weight, and specific gravity.
Drive pulley A with a diameter of 200 mm , drives pulley B with a diameter of 800 mm by means of a belt drive. IF pulley B is uniformly accelerated from 69 r/min to 240 r/min calculate
(a) The angular acceleration of each pulley
(b) The linear acceleration of the belt if slip is ignored
(C) The initial velocity of pulley A in r/min and the final velocity of pulley A in rad/s.
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#339914 on Dec 2023