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Past experience indicates that the time for high school seniors to complete a standardized test is normal random variable with a mean of 35 minutes. If a random sample of 20 high school seniors took an average of 33.1 minutes to complete this test with standard deviation of 4.3 minutes, test the hypothesis at the 0.5 level of significance that U=35 minutes against the alternative that U< 35 minutes
After 5 seconds the force is continuous at the 50 N level. Determine the velocity of the cart at t=8 seconds and calculate t at which the cart velocity is zero.
Calculate the surface area required for a stabilization pond to serve a domestic population of 1000. Assume 80 gpcd at 210 mg/l of BOD. Use a design loading of 20 lb of BOD/acre/day.
A piston-cylinder device contains 0.85 kg R-134a at 263K. The piston is free to move and has a mass of 12 kg and diameter of 25 cm. The atmospheric pressure is 98 kPa. Heat is added to the cylinder until the R-134 temperature = 10 o C.
An element in plane stress is subjected to stresses sigma x=27 MPA,sigma y=14 MPA,sigma xy=6MPA.Using mohr's circle,determine the stresses acting on an element oriented at an angle 40 degrees from the x axis.
a particle p moves along the spiral path r=(10/theta)ft, where theta is in radians. If it maintains a constant speed v=20 ft/sec, determine Vr and V Theta as functions of theta and evaluate each at theta =1 rad
A 24-in.-long copper bar with a yield strength of 30,000 psi is heated to 120°C and immediately fastened securely to a rigid framework. The coefficient of thermal expansion for copper is 16.6x10-6 (1/oC).
Two identical alloy specimens are being evaluated for use in a new fuel rod design. One sample was exposed to a fast neutron flux of 9 X 10^23 neutrons/(cm2*sec) at a temperature of 323°K for six weeks in a test reactor.
A small package of weight W is projected into a vertical return loop at A with a velocity Vo. The package travels without friction along a circle of radius "r" and is deposited on a horizontal surface at C.
find the pressure required to fill the container when the height of the fluid is h = 0.75m at both point 1 (intake 1) and 2 (intake 2). Assume the air is at atmospheric pressure until the water level passes intake 2 (at h = 0.5m) and the air follo..
Consider a diver weighing 200 lb at the end of a diving board that cantilevers out over 3 ft. The diver oscillates at a frequency of 2 Hz. What is the flexural rigidity EI of the diving board
calculate the depth h of mud for which the 3m concrete retaining wall is on the verge of tipping about its forward edge A. the density of mud may be taken to be 1760 kg/m3 and that of concrete to be 2400 kg/m3.
What is the maximum column load in kips that could be placed on a 4-ft square temporary footing on a sand for which the standard resistance is about N=15 and the water table is at the surface
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