At a parking lot, vehicles arrive according to a Poisson process and are processed (parking fee collected) at a uniform deterministic rate at a single station. The mean arrival rate is 4 veh/min and the processing rate is 5 veh/min. Determine the average length of queue, the average time spend in the system and the average waiting time in the queue. If the rate at which vehicles are processed became exponentially distributed (instead of deterministic) with a mean processing rate of 5 veh/min, what would be the average length of queue, the average time spent in the system, and the average waiting time in the queue?

Compute the magnitude of the torque on the tre : Compute the magnitude of the torque on the tree due to the tension in the rope, with the base of the tree acting as the reference point |

Find the free-flow speed nd jam density for the relationship : a) Find the free-flow speed and jam density for this relationship b) Derive equations depicting the relationship between flow and density, and speed and flow. Plot the resulting curves. Show the values of free-flow speed, jam density, and capactiy.. |

Show the interst payment and principle payment : you are required to make 5 equal annual repayment in the amount of $1285.46 per year, with the first repayment occuring at teh end of the year one. for each year, show the interst payment and principle payment. |

Estimate the current in the coil : A 1200 turn coil in a dc motor has an area per turn of 1.1 * 10-2m-2. What is the current in the coil |

What would be average length of queue and waiting time : At a parking lot, vehicles arrive according to a Poisson process and are processed (parking fee collected) at a uniform deterministic rate at a single station. The mean arrival rate is 4 veh/min and the processing rate is 5 veh/min. |

At what rate is heat dissipated : An electrical resistor has a voltage drop of 5.00 V when 0.300 A of current flows. At what rate (W) is heat dissipated |

Problem - volunteer income tax assistance : Estimated the refunds of those to be about $20,000 in total. Why do you think the IRS goes to the trouble to provide this free service when most lower income individuals receive a refund? |

Find the maximum kinetic energy for the scattered electron : Find the wavelength of the scattered photon when the scattered electron has its maximum kinetic energy |

Does buying the hybrid make sense : Using the idea of discounted future values, does buying the hybrid make sense? How long does one have to own the hybrid to reap the benefits? Be sure to detail your analysis. |

## Compute the size of a squeare concrete box culvert to handleCompute the size of a squeare concrete box culvert to handle a discharge of 25.5 cms. The culvert will have a length of 45.7m with a slope of 0.01 and a maximum headwater depth of 4.57m. |

## Construction area skids into a stack of concrete barriersA car travelling at 60 mph in a construction area skids into a stack of concrete barriers. Skid marks leading to the crash measures 150 ft . |

## Write a mass balance equation for this chemicalAn industrial plant presently discharges a chemical (W=2000 * 106 gr/yr) to the lake. In addition, the inflow stream also contains the same chemical at a concentration of 15 mg/L. Note that the volumetric inflow and outflow are equal. |

## What conclusions can be drawn about viability of approachOne accident mitigation procedure is called emergency material transfer, in which the material is transported away from the accident site before it becomes involved. We plan on mitigating a crude oil tank fire scenario by pumping the tank empty in.. |

## Calculate the accumulated depreciation at the end of 4 yearsAn asset has an initial cost of $45,000 at the end of 4 years the salvage value of the asset is $5,000. Using the sum of the years' digits, calculate the accumulated depreciation at the end of the 4 years. |

## What is the change in the strips width and thicknessThin rubber strips are used to provide increasing resistance to orthopedic patients during large motion exercises. The sheets shown are 0.03125 in thick and 3 in. wide. Say the rubber properties are 120 psi and v= 0.47. |

## Determine the maximum normal strain developed in the boardThe man has a mass of 65kg and stands motionless at the end of the diving board. If the board has the cross section, determine the maximum normal strain developed in the board. The modulus of elasticity for the material is E = 117GPa |

## Determine moles of helium in cylinderAs the piston is compressed, the pressure also increases by 2000000 Pa. If there is 4 times as many atoms of nitrogen as helium, how many moles of helium are in the cylinder? |

## Calculate population in 50 years assuming deometric growthAn intake conduit from a well field used to pump ground water is being designed for a town with a population of 23,000 people. Six years ago the population was 21,500 people. a) assuming deometric growth, calculate the population in 50 years |

## Determine the size of the beam with the least cross-sectionA simple beam of Douglas-Fir Larch, select grade, has a span of 18 ft with two concentrated loads of 3 kips each placed at the third points of the span. Neglecting its own weight, determine the size of the beam with the least cross-section |

## What force vector does the angled member applyThe linkage shown is made up of two 3-kg rectangular members (0.4 m by 0.1 m), and is flying through the air. At the instant shown, the vertical member has angular velocity 4 rad/s, and the angled member has angular velocity 1 rad/s. |

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