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A cyclist rides up a local mountain at an average speed of 11 mph. The road has an average grade of 5.5%. The cyclist and her bike have a combined mass of 75 kg. The force from road drag is 2.5 N and the aerodynamic drag (in Newtons) is equal to 0.2v2 N where the units on 0.2 are N s2/m2 and where v is in m/s. Neglecting drive train losses what is the average power output of the cyclist?
The subcritical water level in the channel downstream from the stilling basin is at an elevation of 100 feet above the datum. assume no energy loss over the spillway, determine the invert of the stilling basin required to form a hydraulic jump in ..
A 75g , 30cm--long rod hangs vertically on a frictionless, horizontal axle passing through its center. A 12g ball of clay traveling horizontally at 2.5m/s hits and sticks to the very bottom tip of the rod.
Vehicles arrive at the booth at a rate of 4 vehicles per minute. The attendent opens the booth and improves the service rate over time following the function u(t)= 1.1 +0.3t, where u(t) is in vehicles per minute and t is in minutes.
Two factories are manufacturing and supplying a single type of good to four warehouses. The factories can produce a1, and a2 units of the good each month, and the warehouses need b1, b2, b3, and b4 units each month
Find the expanded depth of the bed after the backwash when initial depth of the bed is 3 ft using given conditions. m = 0.01g/cm/sec, T = 25oC, rs = 2.65, r=1, washrate = 1.5 cm/sec, ks2 = 196.
Air (an ideal gas) enters an adiabatic nozzle at 3 bar and 38 C and exits at 1 bar and -0.78 C. The process is steady. If the velocity at the inlet is 1 m/s, determine the exit velocity and the ratio of the exit area to the inlet area.
water is pumped into an irrigation pond at 250 gal/min for 24 hours. the pond area is 2500 square feet. Determine the depth of water in the pond .Provide answer in ft and m
An open rectangular tank 1m wide and 3m long contains water to a depth of 1m. If the height of the tank sides is 1.5m, what is the maximum horizontal acceleration (along the axis of the tank) than can develop before the water spills
The storage in a reach of river is 20,000 m^3 at a given time. Determine the storage 1 hr later if the average rates of in flow and out flow during the hour are 20 and 18 m^3/s, respectively
A 200 foot long, 2.5 feet in diameter, straight, corrugated metal storm drain pipe, is used to drain a parking lot. The elevation difference between the pipe ends is 8 feet. What velocity would be expected
What is the maximum safe speed around the curve? If the speed limit on the roadway is 60mph, what action should be taken by the engineer?
Presedimentation can reduce the suspended solids concentration of raw river water from 500 mg/L to 200 mg/L. How many pounds of dry solids does this represent per million gallons?
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