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Roller coasters are designed so that the riders will not experience more than a certain level of g-force during the ride. (The rider would experience B g's if hte normal force were Bmg where B is a number, i.e., if B=3 the rider would experience 3g's and the normal force owuld be 3 times his weight) In this, the car has a velcoity v1 at the crest of the at height h1 and drops to height h2 as it goes around the inside curve of radius p.
a) Find an expression for the minimum radius p if a design requirement limits the rider to B g's. (Hint: Use Newton's Second Law to determine the velocity at the bottom of the drop not that the roller coaster travels along a curved path. Then use work energy to relate this velocity to the velocity v1 and height of the crest h1. Your final expression for p should have the terms v1, h1, h2, and B)
b) How is the minimum radius affected if the inital velocity v1 increases? Explain why this does or does not make physical sense.
c) How is the minimum radius affected if the B decreases? In this case you would like the rider to experience less g's. Explain why this does or does not make physical sense.
d) Explain what happens to the minimum radius of p if B=1. Explain why this does or does not make sense.
How will calculate the surface area of a rectangular open trench Length=100 mtr,Width=.6mtr,Depth= .75mtr.
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The operating cost will be $10,000 per quarter with a salvage value of $25,000 after its 2-year life. Process B will have a first cost of $250,000, an operating cost of $15,000 per quarter and a $40,000 salvage value after its 4-year life.
The pH of clean rain is influenced by the partial pressure of CO2 in the atmosphere. In addition, acid rain can be formed when sulfur dioxide (SO2) is discharged into the atmosphere. i) The atmospheric CO2 concentration could rise to 400 ppmv by 20..
for a laminar flow of a newtonian fluid in a tube of a circular cross section, show that the ratio of mean shear to the wall shear rate is 2/3
Ammonium (NH4+) is a weak acid with a pKa of 9.26. The dissociation is: NH+4 NH3 + H+. Calculate the mass of ammonium added to 1 L of water in order to obtain a pH of 4 at equilibrium.
A farmer wants to irrigate a piece of land in 15 hrs. The area of the field is 15 acres. the farmer grows alfalfa that requires 3.5 inches of water during the 15 hours.At what flow rate should the farmer pump the water
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Sketch and annotate the wedge described above.
A sample of argillaceous soil with a volume of 1x10-3 m3 and a mass of 1.762 kg, after oven dried, has a mass of 1.368 kg. The relative density of the grains is equal to 2.69. Determine, for the sample in its original condition
Knowing that portion AC of the rope lies in a plane parallel to the xy plane and that the magnitude of the tension T in the rope is 62 lb, determine the moment about O of the resultant force exerted on the pulley by the rope.
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