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A motor vehicle of mass 2000 kg travels round a curved path of radius 55 m the coefficient of friction between the tyres and the road surface is 0.75. The track of the vehicle is 1.5m and the centre of gravity is 70cm above ground level. Calculate the maximum speed at which the vehicle can travel round the curve:
i. without skidding outwards ii. without overturning
iii. if the angle of tilt is 300 without overtuming.
Initially a tank holds 100 gal of a brine solution containing 4 lb of salt. At t = 0, brine containing 3 lbs of salt per gal is poured into the tank at the rate of 4 gal/min, while the wellstirred mixture leaves the tank at the rate of 4 gal/min. How long will it take for the tank to contain 10 lb of salt?
In a typical fruit drying process, fresh apricots without seeds (contains 82% of humidity) are dried in a dryer. After drying process, dry apricots contain 22% humidity. What is the mass loss of apricots during drying process. In order to obtain 1 kg dry apricots, how many kg of fresh apricots arerequired.
90kg alcohol-water mixture containing 25% alcohol is fed to a distillation column. Top and bottom product contains 85% and 3.2% alcohol, respectively. What percentage of alcohol in feed is recovered in top stream?
In 8:00 am, the population of a bacteria is 1000, At 11:30 am, the number of bacteria triples. What will be the population at 8:30pm?
Determine the impulse response of the following IIR system:
y[n] + y[n - 1] = x[n] - 2x [n - 1]
Determine the impulse response h of the following FIR system:
y[n] = x[n] + 1/2 x[n - 1] + 2x [n - 2] + 4x [n - 3] - x[n - 5]
a. A shipment of 7 television sets contains 2 defective sets. A hotel makes a random
purchase of 3 of the sets. If x is the number of defective sets purchased by the hotel,
find the probability distribution of X. Express the results graphically as probability
histogram.
b. Find the cumulative distribution function of the random variable X representing the
number of defective in problem a. Then using F(x). Find
P(X=1) and P (0X2)
c. Construct the cumulative distribution function of problem b
Refrigerant-134a at 1.4 Mpa and 90°C is throttled to a pressure of 0.6Mpa. What is the temperature of the refrigerant after throttling.
A nuclear reactor generates 3000MW of heat. The heat is transferred in a heat exchanger of energy transfer efficiency 75% into steam which is expanded in a turbine in order to produce a power output. The steam is condensed in a condenser, releasing 1800MW of heat, and pumped back through the heat exchanger by a feed pump which requires 3% of the power output from the turbine. Determine
A) The net power output from the plant
B) The power output from the turbine
C)The overall thermal efficiency of the plant
