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A vehicle travelling at 70km/hr is accelerating up a hill with a gradient of 1 to 20. If the mass of the car is 1500kg, the frontal area is 1.95m², rolling resistance of 240N and the drag coefficient of the body if 0.035. At this instant, the engine is developing 56.80KW at 4000rev/min and the transmission efficiency is 80%. If the rear axle ratio is 5.2 to 1 and the rolling radius is 35cm. Calculate the acceleration of the vehicle. (Take TR-RG + RR+ RA



The diameter of a brake drum is 30cm the pivot for the brake shoe and the point of application of the force actuating the shoe are 120mm each from the axis of rotation. Assume that the pressure distribution over the brake lining is equal to a single force acting radially and the coefficient of friction is 0.25. Calculate the braking torque exerted by an operating force of 900N on:



i. The leading shoe


ii. The trailing shoe



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?


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 (0X2)



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



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