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A bicyclist leaves from her home at 9 am and rides to a beach 40 mi away. Because of a breeze off the ocean, the temperature at the beach remains 60 °F throughout the day. At the cyclist's home the temperature increases linearly with time, going from 60 °F at 9 am to 80 °F by 1 pm. The temperature is assumed to vary linearly as a function of position between the cyclist's home and the beach. Determine the rate of change of temperature observed by the cyclist for the following conditions:
(a) as she pedals 10 mph through a town 10 mi from her home at 10 am;
(b) as she eats lunch at a rest stop 30 mi from her home at noon;
(c) as she arrives enthusiastically at the beach at 1 pm, pedling 20 mph.
Two toll booths are open and each can process arrivals (collect tolls) at a mean rate of 12 seconds per vehicle ( the processing time is also exponentially distributed). What is the total time spent in the system by all vehicles in a 1 hour period
Calculate the diameter and depth of a circular sedimentation basin for a design flow of 3800 m3/day based on an overflow rate of 0.00024 m/s and a detention time of 3 hr.
a 1600ft long sag vertical curve(equal tangent) has a PVC at station 120+00 andelevation of 1500 ft.the initial grade is -3.5% and the final grade is +6.5%.
A new athletics stadium with a curved concrete roof is beingdesigned. Each of the end walls is 25 metres long. Its height ymetres is given by
the car weighs 2450 lb, the mechanical efficiency of the drivetrain is 90% and the wheel radius is 14 inches. the base engine develops 200 ft-lb of torque, and a modified version of the engine develops 240 ft-lb of torque.
A pump is to be used to draw seawater from the bay at an elevation of 0 to a reservoir at a desalination plant that has a water surface elevation of 255 feet. A 12-inch diameter DIP pipe (CHW = 120) which is 625 feet long connects the two bodies ..
According to the Owner's Manual for the Gateway Arch by William Thayer, the construction made use of the following mathematical equation. y(x) = a + b * cosh( c * x) a= 693.8597 b= -68.7672 c=.010033
After 5 seconds the force is continuous at the 50 N level. Determine the velocity of the cart at t=8 seconds and calculate t at which the cart velocity is zero.
A gravity thickener receives 33.000 Lpd of wastewater sludge and increases the solids content from 3.0% to 7.0% with 90% solids recovery. Calculate the volume of thickened sludge.
At a section in a beam the tensile stress due to bending is 70 N/mm 2 and there is a shear stress of 25 N/mm 2 . Determine from first principles, the magnitude and direction of the principal stresses and calculate the max shear stress.
A person who retires at age 62 can receive Social Security benefits of $1537 per month, but by waiting for the full retirement age of 66, the person will receive $2057 per month.
an electric motor is rated at 10 horsepower hp and costs 800. its full load efficiency is specified to be 85. a newly
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