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Suppose that the acceleration of the train during the interval time from t=2 to t=4 s is a 2t m/s^2, and at t = 2 s its velocity is v = 180 km/hr. What is the train's velocity at t = 4 s, and what is its displacement (change in position) from t = 2 s to t = 4 s?
A very small country has just gained independence in the year 2000, at which time its population was 1,000. The new country has a birth rate of 0.02 yr-1, death rate of 0.004 yr-1, immigration rate of 0.01 yr-1, and emigration rate of 0.005 yr-1.
Design a hollow steel shaft with an inside diameter 1/3 that of the outside diameter. The shaft transmits 200 kW at a speed of 20 Hz. The allowable shearing stress is 55 MPa, and the allowable angle of twist is 1 degree per meter of length.
If arm OA rotates with a constant clockwise angular velocity of theta dot(first dirivatie)=1.5 rad/s. determine the force arm OA exerts on the smooth 4-lb cylinder B when theta=45 degrees.
Compare bar charts and precedence diagrams in terms of the ease with which activities can be added to the schedule.
A container of petrol on a set of scales is used to measure the rate at which fuel is used by an engine under test. In one test the weight measured by the scales decreases by 25.0 N in 1 hour.
The settling velocity of alum floc is approximately 0.0014 fps in water at 10 degrees celsius. Calculate the equivalent overflow rate in gpd/ft squared. What is the minimum detention time in hours
Route a trianglular hydrograph through a 100 foot wide rectangular channel with a bed slope of 0.015 and a Mannings n of 0.035. Tak a distance between cross-sections of 3000 ft.
A cylindrical rod with a length of 380 mm and a diameter of 10 mm is to be subjected to a tensile load. The rod must not experience plastic deformation or an increase in length of more than 0.9 mm when a load of 24.5 kN is applied.
Determine the available tensile strength (Pa) in kips to the 1st decimal point for the A36 steel plate in accordance to the 14th Edition of AISC LRFD Specifications. The bolts are in standard holes. U = 1.0
The Permeability of a semi-impervious soil was evaluated in a falling-head permeameter whose head decreased from 40 to 15 inches in 5min. The body diameter was 0.1 inch, and the sample length and diameter was 2 inches.
how much money today is equivalent to lump sum of $100,000 in 20 years with interest rate of 6% per year compounded (a)monthly, (b)quarterly, (c)semiannually
Determine the degree of saturation of a sample of soil given that its maximum dry unit weight is 18 kN/m^3 and its optimum moisture content is 12.1%. Assume the Specific Gravity of soil is 2.65.
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