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For an interval of motion the drum of radius b turns clockwise at a constant rate in radians per second and causes the carriage P to move to the right as the unwound length of the connecting cable is shortened. Use polar coordinates r and θ and derive expressions for the velocity v and acceleration α of P in the horizontal guide in terms of the angle θ Check your solution by a direct differentiation with time of the relation x2 + h2 = r2
There are three reactors degrading a chemical biologically, at three degradation rates; i.e., 0.2 d^-1, 0.4 d^-1, and 1.0 d^-1. The residence time of the chemical in these reactors are 10 d, 5 d, and 55 d, respectively
a silty material is to be used to fill an earth damn. How much water must be added to bring the water content of each ton (2000 lb) of the material to 35% if the original watter content is 11.4%
Using a unit analysis, calculate the value of the K term in the rational method equation (Q = K C I A) in English and SI respectively.
Water flows in a 100-m long pipe at 3 m/s. If the water temperature is 20 degrees C, determine the minimum valve-closure time to avoid creating the water-hammer pressures. What is the maximum water-hammer pressure that can occur
A 10 kg block is being pulled down a slope with an angle of 20 degrees and has a velocity of .2 m/s. Determine the force required
The forward direction is given by the alphabeteical order of the station names. Each angle is measured clockwise from the back direction to the forward direction so that they are on the left of the traverse looking forward.
The coal may either be moved by train from the mine to power plants near where the power is used, or the coal could be combusted near the mine mouth to generate electricity and the electricity could be transmitted over long distances to the users.
A 0.3-m diameter pipeline terminates in a nozzle of outlet diameter = 0.15 m. When water flows through this pipe at a rate of 0.25 m3/s, the force required to hold the pipe (N) is most nearly.
Write the following iterated integral as a double integral with aregion R, and use the change of variables to compute the integral:∫x=2x=0∫y=√(2x-x²)y=0√(x²+y²) dy dx
A pump delivers 60 degrees F water at 2000 gpm through a vertical pipeline 300 ft high. Find the minimum horsepower input to the pump. Assume that atmospheric pressure exists at both the pump inlet and the pipeline outlet.
Part of a vertical piping system consists of 8 ft of 4 in diameter, connected to 8 ft of 3 in diameter above, and connected to 8 ft of 2 in diameter above that. Water at 60 F flows up the pipe (no downward flow occurs)
Consider a house into which radon is emitted through cracks in the basement. The total volume of the house is 650 m3 (assume that the volume is well mixed throughout).
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