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An expressway off-ramp consisting of a single lane leads directly to a tollbooth. The rate of arrival of vehicles at the expressway can be considered to be Poisson with a mean of 30 veh/h. and the rate of service to vehicles can be assumed to be exponentially distributed with a mean of 1.2 min. What is the average number of vehicles waiting to be served at the booth (not including the vehicle being serviced)?
A hydraulic transition 100 ft long is used to connect two rectangular channels, 12ft and 6ft wide. The design discharge is 500 cfs, mannining coefficient=.013 and the slopes of the channels are both .0009.
The flow of water over a weir, can be computed by Q=5.35LH^(3/2), where Q is the volume low rate of water in cubic feet per second, L is the length of weir in feet, and H is the height of water over the weir in feet.
A circular bar under pure torsion needs to transfer 50 N*m of torque. The total bar length is 1 m and the total rotation can not exceed 2 degrees. The bar is made of a material with G=3000 MPa.
A 100 lb force vector F is aligned from A to B. Point A is located at the coordinates (2, 2, 2) and point B at (4,5,6). Calculate the moment of F about the y axis.
When drawing a FBD, how do you know which direction the x, y and z components are applied? I know that the sum of forces in each direction and the moments about each axis have to equal zero so I know some FBD are pretty self explanatory
During construction of a highway project, a soil sample was taken from compacted earth for a sand-cone in place denstiy test. The following data were obtained from the test. Weight of sand used to fill test hole and funnel of sand-cone device= 845 g.
Let X be a uniformly distributed continuous random variable ranging between 5 and 8, X ~ U[5 , 8]. Variable Y is a function of X: Y: h(X)= 2X^2+1 a. Determine the PDF of Y. b. Find the expected value of Y.
Explain CBR method of pavement design with one example.
A backsight reading of 2.56 was obtained with rod at A and a foresight reading of 7.45 was obtained with the rod at the trial point B. If B is located 37.00 feet from the center line of a planned 50-foot wide road, is the catch point located uphi..
For the vector 100i+150j-300k kN determine its magnitude, the direction, angle alpha, beta, and gamma and the unit vector.
Three cylinders from the same mix were tested for strenght. Cylinders A and B were cast in 4x8 molds while cylinder C was cast in a 6x12 mold. The total loads were as follows; cylinder A= 65,200 lbs., cylinder B= 68,550 lbs., cylinder C= 151,190 l..
A gas is compressed at a constant pressure of 0.800 atm from 9.00L tp 2.00L. in the process, 400J of energy leave the gas by heat. (a) What is the work done on the gas? (b) What is the change in it internal energy?
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