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Water flows steadly in an open topped channel of rectangular cross section. The channel width is B and the depth of the water is D. The flow is designed using a rectangular coordinate system whose orgin is at the free surface midway between the walls. The x axis is normal to the walls, and the y axis points vertically downward. The velocity W is normal to the xy plane and is given by
W(xy) = Wmax[1-(4x^2/B^2)][1-(y^2/D^2)]
Find an expression for the flowrate and average velocity as functions of B,D and Wmax
The ball is released from position A and drops 0.75m to the incline. If the coefficient of resistitution in the impact is e=0.85, determine the slant range R. See Engineering Mechanics Dynamics meriam and Kraige 7th edition number 3/255 for figure
A velocity field is given by V = xi + x(x-1)(y-1)j, where u and v are in feet. Plot the streamline that passes through x = 0 and y = 0. Compare this streamline with the streakline through the origin.
The elastic ball bounces down a flight of rigid stairs. Determine the height h of the steps if all the trajectories between successive steps are identical. Use e = 0.85 and the initial velocity 6 m/s.neglect friction. (Theta=70 degrees)
A completely mixed continous bioreactor used for growing oenicilin operates at a zero orer system. The input glucose is converted into various organic yeats. the flow rate ti this system is 20 liters per minute and the conversin rate is 4 mg/(min-..
a water main is used to refill an elevated storage tank during the night. a 100 ft long, 12 in steel pipe (ks=.06 mm) connects to the booster pump that provides a pressure of 75 psig at the pump outlet
Describe a dynamic programming algorithm to find an independent set of T such that the sum of numbers of nodes in the set is the largest among all possible independent sets of T.
An open clean glass tube, having a diameter of 3 mm is inserted vertically into a dish of mercury at 20c .How far will the column of mercury (S.G =13.6) in the tube be depressed in (mm) given the following information. Theta = 130 and surface tens..
Also calculate the deflection of the beam to check that it complies with the design limit of L/200. Only variable actions are required for deflection check.
a cantilevered W12X136 (ASTM-A36) steel member beam is 18 feet in length. if a concentrated load of 12 kips is applied at a point 6.25 feet from the beam's free end, use the superposition technique
A tubular aluminium bar (G=28GPa) of square cross section with outer dimensions 50mm x 50mm must resist a torque T=300Nm. Calculate the minimum required wall thickness t_min if allowbale shear stress is 20MPa
If the time required to pay for parking is exponentially distributed with a mean of 15 seconds, find the average time in system.
The beam is fully restrained at both ends but is unbraced along its span. Determine the maximum magnitude of PQ that satisfies the ultimate strength limit state for flexural strength
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