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A person with a mass of 200kg wearing snow skis is gliding down a long slope at an angle of 20 degrees. Each ski is 200cm long and 5 cm wide. The pressure of the skis on the snow melts a thin layer of water so that a .1mm layer of water exists under each ski. The water layer is at a temperature of 0C. Determine the maximum velocity that the skier will achieve without using poles. Neglect the drag force of the air on the skier.
The break up of a liquid jet into droplets of diameter d depends on the jet diameter D, the jet velocity V, viscosity Mu, density rho,and surface tension sigma.
A stainless steel pipe (k= 17 W/m?C) is being used to convey heated oil. The inside surface temperature is 130?C. The pipe is 2 cm thick with an inside diameter of 8 cm. The pipe is insulated with 0.04 m thick insulation
for this purpose replace this force by its equivalent of two forces at At Ft parallel and Fn perpendicular to the beam. Determine Ft and Fn.
Write a script newquot.m that uses the Newton quotient, [f (x + h) - f (x)]/h, to estimate the first derivative of f (x) = x3 at x = 1, using successively smaller values of h: 1, 10-1, 10-2, and so forth. Use a function M-file for f (x).
A 3000-lb car has a maximum speed (at sea level and on a level, paved surface) of 140 mi/h with 16" radius wheels, a gear reduction of 3.5 to 1, and a drivetrain efficiency of 92%. It is know that at the car's top speed the engine is producing 220..
You are the winner of a sweepstakes and given a choice of a one-time payment of $1,000,000 or a guaranteed $80,000 per year for 20 years. Assume that you will collect all 20 years regardless of health condition.
A municipal WWTP discharges 22.5 MGD of secondary effluent containing 45 mg/L of ultimate BOD at 26.7 C with 1.3 mg/L of dissovled oxygen. The stream flow is 237 ft^3/s at an average velocity of 2.1 ft/s and an average depth of 7ft.
A Ferris wheel with a radius of 35 feet starts from rest and undergoes an angular acceleration of 0.05 rad/s^2. Compute the magnitude of the velocity and acceleration vectors at 5 seconds for a point on the rim of the Ferris wheel.
A plate storage system for a self-serve salad bar in a restaurant. As plates are added to or withdrawn from the stack, the spring force and stiffness are such that the plates always protrude above the tabletop by about 60 mm.
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.
A pool of benzene is ignited on the floor of a large industrial building. The total area covered by the Kerosene pool is 6 meters square (Note that this is considered a large pool D>0.2 meters). Combustion efficiency is 70%. Estimate the plume mas..
(i) volume to supply the peak demand of 1.8 times the average demand. (ii) volume to supply fire flow for at least 9 hours, and (iii) volume to supply emergency storage 600 L/day/capita. (1 L = 0.001m^3)
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