1.The area shown is revolved about the x axis to form a homogeneous solid of revolution of mass m. Using direct integration, express the mass moment of inertia of the solid with respect to the x axis in terms of m and h

2.A concrete sewer pipe 3ft in diameter is laid so it has a drop in elevation of 1.0 ft per 1000ft of length. If sewage ( assume the properties are the same as those of water) flows at a depth of 1.5ft in the pipe, what will be the discharge?

3.What are alternative treatment options for the removal of EDCs in tertiary treatment? Be sure to justify any alternative treatment method you propose.

## What will be the mass of the rod at the end of 20 minsA common commercial process for the production of so-called "Electronic Grade Silicon" (EGS) is the Siemens process (see figure below). EGS is of ultra-high purity, enough to be used for fabrication of microchips. |

## Find how much should the company be willing to spendIf the systems will reduce insurance claims by $100,000 two years from now, how much should the company be willing to spend now, it is uses an interest rat of 12% per year |

## What is the annualized cost of system in dollars per yearAn emission control system for a new car costs $750 and reduces NOx emissions from 0.4 g/mile to 0.18 g/mile. Assume the car is driven 10000 miles per year, and the life of the emissions control system is 11 years |

## Calculate the hydraulic conductivity of this clayA falling-head permeability test was carried out on a clay soil of diameter 100 mm and length 150 mm. In 4 minutes the head in the standpipe of diameter 5mm dropped from 680 to 350 mm. Calculate the hydraulic conductivity of this clay. |

## Determine the power output of the engine in each cycleIf it absorbs 100 Joules each cycle from the hot reservoir, how much work does it do. How much heat is given off in each cycle If each cycle takes 0.5 seconds, find the power output of the engine. |

## Calculate the pressure in the constriction in a pipeWhen 0.3 m^3/s water flows through a 150 mm constriction in a 300 mm horizontal pipeline, the pressure at a point in the pipe is 345 kPa, and the head loss between this point and the constriction is 3 m. |

## Determine what is the size of variable testIf variable Test(i,j) is selected so the first column represents the student number (1,2,..., 32), 2nd column represents the score of the first homework, 3rd column represents the score of the 2nd homework, etc. |

## Required height of the roller coasterDetermine the required height h of the roller coaster so that when it is essentially at rest at the crest of the hill it will reach a speed v= 100km/hr when it comes to the bottom. |

## What is the concentration of hypochlorite ion in mg per lIf 5 mg of NaOCl are added to one liter of water and the pH is measured to be 7.8, what is the concentration of hypochlorite ion (OCl-) in mg/L |

## Find probability that sample standard deviation will exceedit is found that the lifetimes of television tubes manufactured by a company have a normal distribution with mean of 2000 hours and standard deviation of 60 hours. if 10 tubes are selected at random |

## Determine the natural frequencies and the natural modesConsider the rocket on a test stand . The nose of the rocket is fixed. The rocket is of length L, constant EA and constant m, mass per unit length. To investigate longitudinal dynamics, the rocket is modeled using axial elements of equal length. |

## Determine how long it will take at minimum to fill an glassThe drinking water needs of an office are met by large water bottles. One end of a .25 in diameter plastic hose is inserted into the bottle placed on a high stand, while the other end with an on/off valve is maintained 2 ft below th bottom of the .. |

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