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A marble on the end of a massless string is rotating about a hole at O on a flat(horizontal) frictionless table. The mass originally rotates with an angular velocity theta'=w0 and r is constant at r1. At some time t0 the string begins to be pulled into the hole(at O) until the length of the string reaches its new (shorter) length of r2, where it remains constant(while the marble continues to rotate about O). What is theta' when the string reaches the length r2?
A distance of 1000 feet is to be taped in a manner to ensure a standard deviation smaller than ±0.06 feet. What must be the standard deviation per 100-ft tape length to achieve the desired precision?
A well-mixed sewage lagoon (a shallow pond) is receiving 430 m^3/d of sewage out of a sewer pipe. The lagoon has a surface area of 10 ha (hectares) and a depth of 1 m. The pollutant concentration in the raw sewage discharging into the lagoon is 18..
A 3-mm thick panel (1 m x 1 m) of aluminum alloy (k = 177 W/m. K, Cp = 875 J/kg. K, and p(rho)= 2770 kg/m3) is heated in a large oven with air at T = 175oC and a convective heat transfer coefficient of h = 40 W/m2.K.
If design is needed, use a W-built-up cross section; select the W section and the thickness of the plate. Calculate Cc and use the AISC equations E2-1 and E2-2 to determine the allowable stress for each axis and ultimately the allowable load for t..
What are the best dimensions for a trapezoidal canal having a side slopes of 1V : 3H and n = 0.020, if it is to carry 40 m^3/s uniformly on a slope of 0.009.
The channel cross section is rectangular in shape,with a bed width of 4 m and Manning n of 0.022. The bed drops by an average of 4.2metres every kilometre. The maximum flow in the channel is equal to 7 m3/s.
Fluid flows steadily, at a volume rate Q, through a large pipe and then divides into two small pipes, the larger of which has an inside diameter of 25 mm and carries three times the flow of the smaller pipe.
Determine how many buses needed to provide service on the following route with the indicated characteristics: -Route length: 16 miles (one way) -Headway: 15 minutes -Average number of stops made during run, one direction: 22
a transmission tower is held my three guy wires attached to a pin at A and anchored by bolts b c and d if the tension in wire ab is 3.6 kn determine the vertical force p exerted by the tower on the pin at A
A 1.50 L buffer solution is 0.250 M in HF and 0.250 M in NaF. Calculate the pH of the solution after the addition of 0.0500 moles of solid NaOH. Assume no volume change upon the addition of base. The Ka for HF is 3.5 x 10-4.
A company borrowes $25000 at an interest rate of a nominal 16% per year compounded quarterly. The company desires to repay the loan in 36 equal quartely payments, with the first payment starting three months from now.
The car was travelling on a 3% upgrade on a pavement with friction factor of 0.30. How much further would the car have skid if it did not strike the concrete barrier?
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