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(Spherical polar coordinates) When a function f(r) is specified in polar coordinates, it is usual to express grad f in terms of the partial derivatives of f with respect to r, θ and φ and the unit vectors ur, uθ and uφ in the directions of increasing r, θ and φ as shown in Figure 3.8. Working from first principles, show that
calculate the enthalpy change of the universe during the process. Cp=Cv = 4.18 kj/kgK
Determine the force Q at the jaw of the shear for the 400-N force applied with () = 30°. (Hint: Replace the 400-N force by a force and a couple at the center of the small gear. The absolute angular displacement of the gear must be carefully determ..
A radiograph was taken of the longitudinal weld seam in a 30 inch OD * 0.625 inch wall tickness pipe which reportedly was manufactured to API5L * 52 specifications. After examining the radiograph on the light box in m-302, characterize the fusion def..
A vertical piston-cylinder device, which is insulated, initially contains 15 kg of water, 9 kg of which is in the vapor phase. The pressure inside the cylinder is maintained constant at 0.3 MPa by mass of the piston. Now steam at 0.8 MPa and 500 °C i..
in moving from point b in a particular circuit to point a an electron gains 4 aj of potential energy. what is the
A water pipe of D = 30 cm is buried in soil with a value of k = 0.52 W/mK. The center of the pipe is buried 1 meter below the surface of the ground. The surface of the ground is at -10o C.
air enters a compressor operating at steady state with a pressure of 1 bar a temperature of 20degc and a volumetric
a piston-cylinder device contains r-134a. initially the phase is saturated vapor at 160 kpa. the system then undergoes
a crate in the back of a truck with an open tailgate has impending sliding as the truck accelerates from rest to 60 mph
water enters a nozzle with a velocity of 0.8 ms and exits with a velocity of 5 ms. the nozzle entrance diameter is 12
1. what does the area-velocity relationship tell us about flow in a supersonic wind tunnel?2. what is the throat and
A light aircraft with a wing area of 200 ft2 has a lift coefficient of 0.4 and a drag coefficient of 0.05. the power required to maintain level flight is 66hp. determine the weight of the airplane. recall power is force in the direction of velo..
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