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You are going to assemble 1,000 bolt + hole combinations. The bolts have a mean diameter of 1.000 cm, normally distributed with standard deviation of 0.010 cm. The holes have a mean diameter of 1.030 cm, normally distributed with standard deviation of 0.015 cm. When it's time to make an assembly, a bolt and a hole are randomly selected from supplies of parts with these characteristics. If a pair doesn't go together because the bolt is too big (same size or larger than the hole), that pair of parts is recycled. After trying to assemble 1,000 pairs, how many have to be recycled? Do this problem both by integration, and by generating 1,000 pairs of random numbers.
A cylindrical water tank is suspended vertically by its sides. The tank has a 10-ft diameter and is filled with 20 degree celcius water to a 3-ft depth. Determine the force exerted on the tank bottom
A falling-head permeability test was carried out on a clay soil of diameter 100 mm and length 150 mm. In 4 minutes the head in the standpipe of diameter 5mm dropped from 680 to 350 mm.
Blood is flowing through an aorta of 1.0 cm diameter at an average velocity of 50 cm/s. The mean pressure is 100 mm Hg, The blood enters a stenosis where the aortic diameter is 0.5 cm. What is the appropriate pressure at the point of maximum steno..
This distance is indicated correctly on a steel surveyor's tape whenused at a temperature of 70 degrees F and subjected to a pull of 10lbs. If in measuring a certain distance the tape indicatesthe distance to be 100 feet
assume that the whole twisting moment is taken by the bone. If the humerus can withstand a shear stress Tmax=70.0 MPa, determine the maximum force the hand can apply without fracturing the humerus. The length of the forearm is 360 mm.
If this GCL is used as a liner beneath a 55-ft high landfill with a waste unit weight of 45 lb/ft3, what will be the hydraulic conductivity of the GCL at the bottom of the landfill
Cork is used for sealing sparkling wine bottles. Aside from friction, why not use rubberbto seal wine bottles. (Hint: think about the force exerted by the pressure inside and how does that deform each material) Be sure to use poissons ratio in the..
A slurry containing 20 percent by weight of limestone (CaCO3) is processes to separate pure dry limestone from water. If feed rate is 2000kg/h, how much CaCO3 is produced per hour?
At point 2, the velocity and pressure are 14 ft/s and 23 psi. Determine at which of these two points the elevation is higher. Calculate the height difference. (Assume the sp ecific gravity of butane is 0.6 and that the butane is at a temperature o..
Why is it necessary to require such conditions-sand cement ratio, w/c ratio and type of sand. A graded sand is specified for use in the mortar cube test. What would be the likely results if a one-sized sand was used instead of a graded sand.
assume the readings on thermometers are normally distibuted with a mean of 0C and a standard feviation of 1.00C. Find the probability that a radndomly selected thermometer reads greater than 1.23 and draw a sketch of the region.
Calculate the vapor pressure, air pressure, relative humidity, and air density at elevation 1500 m if air temperature is 25 degrees C and dew point temperature is 20 degrees C and the lapse rate is 9 degrees C/km
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