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A 30 lb uniform cylinder can roll without sliding on a 15 degree incline. A belt is attached to the rim of the cylinder, and a spring holds the cylinder at rest. If the center of the cylinder is moved 2 in. down the incline and released, determine the period of vibration and the maximum acceleration of the center of the cylinder. Solve using work-energy.
The pump curve for a given pump is represented by hp,pump=20 (1-(Q/100)^2) where hp,pump is the head provided by the pump in feet and Q is the discharge in gpm.
the car weighs 2450 lb, the mechanical efficiency of the drivetrain is 90% and the wheel radius is 14 inches. the base engine develops 200 ft-lb of torque, and a modified version of the engine develops 240 ft-lb of torque.
The wastewater discharge flow rate is 0.3 m3/s. The coliform first-order death rate in seawater is approximated 0.3 h-1. The current carries the wastewater plume toward the beach at a rate of 0.5 m/s.
Consider a 1000 acre residential area with a housing density of four dwellings per acre. Evaluate the peak hourly water use requirement.
given f(x) = -2x^6 - 1.5x^4 + 10x +2. use a root location technique to determine the maximum of this function. perform iterations until the approximate relative error falls below 5%.
Find the change in depth and in absolute water level produced by a) a smooth upward step of 1 ft b) a smooth donward step of 1 ft, in the channel bed c) find the maximum allowable size of thw upstream flow to be a possible as specified
The acceleration of a particle is defined by the relation a= -0.7v where a is expressed in in/s2 and v in in/s. Knowing that t= o the velocity is 30in/s, determine 1.) the distance the particle will travel before coming to rest
a direct shear cell 25.4cm x 25.4 cm in plan is filled with dry sand. a normal load of 6kN is applied to the sample, and the shear failure is 3.5kN. What is the anle of internal friction for the sand
For a temperature of 10 degree C, calculate the time needed for the following particles to settle 0.3m: a) a 20um mineral particle with a specific gravity of 2.1, and b) a 2 um organic particle with a specific gravity of 1.2
Determine the maximum hoop stresses on the inside fibers of a rifle barrel which is 3 feet long with an O.D. = 3.0" and an I.D. = 1.0". The internal pressure = 10,000 psi. Use the F.E. reference manual for determining these stresses.
Calculate the Air flow required in CFM to transfer 5,396 BTU/Hour in an HVAC duct given that the temperature difference (Delta-T) between the room and the supply air is 21 DegF.
A wheel tractor-scraper is operating on a level grade, assuming no power derating is required for equipment conditions, altitude, and temperature.
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