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1.A mass on a spring has an acceleration given as follows: a= -10 (1/?sec?^2 ) x where x is the displacement of the mass in meters. If the initial position is -1 m and the initial velocity is +1 m/sec, find: (i) the velocity when x = 0 for the first time and (ii) the maximum and minimum values of x.
2.A stone A is dropped from rest down a well, and in 1 second another stone B is dropped from rest. Determine the distance between the stones another second later.
3.A 6.6 mA current is flowing through a 47 kilo-Ohm, 5% tolerance, 2-watt resistor. If the resistor values are uniformly distributed, how many resistors out of a package of 100 would you expect to burn up? At what value of resistances are you OK?
4.Water is pumped 9 mi from a reservoir at elevation 100 ft to a second reservoir at elevation 210 ft. The pipeline connecting the reservoirs has a 54-in diameter. It is concrete and has an absolute roughness of 0.003. If the flow is 25 mgd and pumping station efficiency is 80%, what will be the monthly power bill if electricity costs 3 cents/kwh?
A square member is composed of a 12 inlong. 1 sq in area steel core with Young's modulus=29*10^6 psi andthermal expansion coefficient of 6.5*10^-6 /deg F
In a hydrometer test, the data recorded at 60 minutes after the start of the test are as follows: Gs = 2.6, temperature of water T = 24°C and L = 9.2 cm. What is the diameter D of the smallest-sized particles
What is the minimum distance from the stalled car at which the driver could apply the brakes and still stop before hitting it? Assume coefficient of rolling resistance of 0.013.
in the first couple steps you are using the sine function to derive that the interior triange BCG is a right triangle. However, the sine function, by definition, is opposite divided by hypotenuse.
A 1.00 mol sample of an ideal gas (gamma = 1.40) is carried through the Carnot cycle. At point A, the pressure is 25.0 atm and the temperature is 600 K. At point C, the pressure is 1.00 atm and the temperature is 400 K.
Phenol is approximately 12 times more soluble in 1 volume of isopropyl ether than it is in 1 volume of water. How many extractions are required to decrease the concentration of phenol below 100 mg/L
Given s=.30/(60-u), where s is the spacing (space headway) in miles, and u is the speed in miles per hour, derive the relationships u-k, u-q, and q-k. Also, estmate the capacity (qmax) of the roadway.
In a water table aquifer bounded on the ends by rivers, the hydraulic conductivity is 50 m/day. The hydraulic heads at x = 0 and x = 1000 m are 100 m and 90 m, respectively.
An alloy has a yield strength of 41 ksi, a tensile strength of 57 ksi, and an elastic modulus of 16 X 10^6 psi. A cylindrical specimen of this alloy 0.5 in in diameter and 10 in long is stressed in tension and found to elongate 0.3 in.
Given a mean earth radius of 20,906,000 ft, and an observation latitude of N 33 degrees, what is the arc distance of one second of longitude and one second of latitude?
Two channel cross sections are proposed. Assume slope, cross sectional area, and surface type are constant for each channel. Which cross section option will provide the highest flow rate? Show calculations.
Assume the specific gravity is 2.7. Given this information, determine (a) the phase diagram of the soil, (b) the void ratio, (c) the porosity, (d) the dry density, and (e) the saturated density.
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