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A bicyclist leaves from her home at 9am and rides to a beach 40 miles away. Because of a breeze off the ocean, the temperature at the beach remains 60 degrees F throughout the day. At the cyclist's home the temperature increases linearly with time, going from 60 degrees F at 9am to 80 degrees F by 1pm. 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 at town 10 mi from her home at 10am; 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 1pm, pedaling 20 mph.
To float a 160 pound man using helium balloons (assume 0.52 cubic feet per inflated balloon). How many balloons would it take. Assume density of air is 1.29 kg/cubic meter and the density of helium is 0.179 kg/cubic meter.
The two disks each have a mass of 18 kg and are attached at their centers by an elastic cord that has a stiffness of k= 1.6 kN/m. Determine the stretch of the cord when the system is in equilibrium and the angle of the cord.
You plan to use a tank of total volume V= 10 m3 to remove a contaminant at concentration Cin = 1 g/m3 from a waste stream with a flow rate of Q = 1 m3/h. The reaction is first order with a rate constant k1 = 0.5 h-1.
Write out the steps for the aldol condensation reaction between the enolate anion of propanal with pentanal.
A trapezoidal channel with a bottom width of 4 feet and side slopes 2:1 (H:V) and a bed slope of 1 percent conveys a discharge of 50,000 gpm. Assume n = 0.025. Compute the normal depth
Determine the power generated by the turbine (in KW) operating in steady state at 5MPa, with specific enthalpy 3000kj/kg and velocity of 10m/s at the entrance and steam escaping at 0.07MPa, specific enthalpy 2000kj/kg at velocity of 90m/s p.
A closed system of 0.123kg undergoes a frictionless, quasi-static process along the path PV=C from 100kpa to a final state where the volume is twice the initial volume.
a spherical container with a diameter of 50 ft made of steel plate holding a gas at 50 psi. with a tensile strength of 16000. What is the required thickness of the plate
determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive axis. The other force is F=700N with a 15 degree angle to the x-axis.
Determine the unstretched length of spring AC if a force P = 110 lb causes the angle theta = 60^circ for equilibrium. Cord AB is 2 {rm ft} long. Take k = 50;{rm lb/ft}
The specification for a particular application calls for the blocks to have a mean compressive strength greater than 1350 kPa. A sample of 100 blocks is produced and tested.
The traffic stream consists of cars, buses, and large trucks (no recreational vechicles). A weekday directional peak-hour volume of 1800 vehicles (familar users) is observed, with 700 arriving in the most congested 15 min period.
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