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A student sits on a swivel seat. Initially the student is at rest, holding a spinning bicycle wheel that has an angular velocity of 13.5 rad/s. The student turns the spinning wheel upside down, reversing the direction of its angular velocity. This causes the student to begin to rotate. Find the student's final angular velocity. The moments of inertia of the wheel and of the student are 0.313 kg · m2 and 2.09 kg · m2 respectively.
Determine 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.
Evaluate company performance in relation to GRI standards and comment on Stigler's theory.
determine the components of the 800 lb force f along the oblique axes a and b. also, determine the projections of f onto the a and b axes
a navel gun (E= 30,000 ksi and G = 11,600 ksi) with a bore of 16 in. develops a maximum internal pressure of 20,000 psi. Determine a. the minimum outside diameter required if the maximum tensile stress permitted in the gun barrel is 36,000 psi.
A jet aircraft is flying in a standard atmosphere at an altitude of 4,000 m at 900 km/hr. The frontal intake area of the jet engine is 0.80 m2. The engine exhaust area is 0.56 m2. The temperature of the exhaust gas is 120°C.
A 2.45 m wide rectangular channel has a bed slope of 0.0004 and Manning's roughness coefficient n of 0.015. For a discharge of 2.83 m^3/s, determine the type of water surface profile for depths of 1.52 m, 0.61 m, 0.30 m.
A paddle wheel, inserted inserted into the volume, does 720 KJ of work on the air. If the volume is 2 cubic meters, calculate the entropy increase assuming constant specific heats.
Determine the actual detention time observed in the field of two circular settling tanks with depth 3.5 m that was designed to have an overflow rate not exceeding 60 m3/m2-day and a detention time of at least 2 hour.
a 1 meter diameter cylindrical mass is connected to a 2 meter wide rectangular gate. the gate is to open when the water level drops below 2.5 meters. Determine the required value of the mass of the cylinder in kgs.
A bridge has cylindrical piers 1 m in diameter and spaced 15 m apart. Downstream of the bridge where the flow disturbance from the piers is no longer present, the flow depth is 2.9 m and the mean velocity is 2.5 m/s.
A one meter diameter cylindrical mass is connected to a 2 meter wide rectangular gate. the gate is to open when the water level drops below 2.5 meters. Determine the required value of the mass of the cylinder in kgs.
A ballon is tethered at a height of 16.8 m above the ground by three cables. if the tension in highlighted cable is 60 N , determine the vertical force exerted by the balloon at the base of the balloon basket.
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