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Cars arrive at a toll gate on a freeway according to a Poisson distribution with mean 90 per hour. Average time for passing through the gate is 38 seconds. Drivers complain of the longwaiting time. Authorities are willing to decrease the passing time through the gate to 30seconds by introducing new automatic devices. This can be justified only if under the oldsystem the number of waiting cars exceeds 5. In addition, the percentage of the gate's idletime under the new system should not exceed 10%. Can the new device be justified?
Determine the required dimensions. The inside diameter is to be two- thirds of the outside diameter. The allowable shearing stress is 70 MPa, and the angle of twist is not to exceed 4 degree in 3 m of the shaft.
A student is trying to test the braking ability of her car determined that she needed 18.5 ft more to stop her car when driving downhill on a road segment of 5% grade than when driving downhill at the same speed along another segment of 3% grade.
A first-order reaction that results in the destruction of a pollutant has a rate constant of 0.1/day. (a) How many days will it take for 90 per- cent of the chemical to be destroyed (b) How long will it take for 99 percent of the chemical to be destr..
A rectangular beam 4 inches wide and 12 inches height must sustain a maximum bending stress of 12,500 Lbs/in^2. A) Sketch beam and show neutral axis. B) Solve for the maximum bending moment.
The reaction between 2-methyl-2-pentanol and HBr to yield 2-methyl-2-pentene is probably: A) an E1-type reaction involving the protonated alcohol as the substrate. B) an SN2-type reaction involving the protonated alcohol as the substrate.
One form of which consists of three equal weights joined by equal length ropes. The gaucho holds on to one weight spinning the bolas overhead. When the bolas is cast the weights cause the configuration to change
Two ropes are attached to the eye bracket. The resultant force R of the two forces equals 1000-lb and the line of action is directed along the x-axis. if the magnitude of force F1 is 250-lb, determine the magnitude of force F2 and the angle
What is the corresponding horizontal distance between the points - The slop distance 156.777 from one poin to another at rate of+1.5%
There are 10 vehicles in a queue when an attendant opens a toll booth. Vehicles arrive at the booth at a rate of 4 per minute. The attendant opens the booth and improves the service rate over time following the function u(t) = 1.1 + .30t, where u(..
Water with a static pressure of 1.96kN/M2 flows through an 800 mm diameter pipe. A pitot tube pressure gage in this pipe reads a pressure of 5.88 kN/M2. Determine the velocity (V)
A Carnot heat engine is supplied with a high temperature heat source at a rate of 200 kW. If the power output of the heat engine is 120 kW, determine the required source temperature if the heat sink temperature is 20 °C.
disk of radius R=7 in. spins at a constant angular speed of w=500rpm in the clockwise direction. If the disk is released from rest far above the ground, what are the speed and acceleration of the disk's top C point after it has fallen h=3ft
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