Two-dimensional, steady-state conduction occurs in a hollow cylindrical solid of thermal conductivity 14 w/m·k, outer radius 1 m and overall length 5 m, where the origin of the coordinate system is located at the midpoint of the center line. the inner surface of the cylinder is insulated, and the temperature distribution within the cylinder has the form , where -20°c, 150°c/m2, -14°c, -300°c/m2 and and are in meters. (a) determine the inner radius of the cylinder. (b) determine the volumetric rate of heat generation, (c) determine the axial distribution of the heat flux at the outer surface, what is the heat rate at the outer surface? is it into or out of the cylinder?

Aparticle initially moving east with a speed of 20.0 m/s, experiences an acceleration of 3.95 m/s, north for a time of 8.00 s. what was the speed of the particle after this acceleration, in units of m/s? give the answer as a positive number.

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)

The diagram shows a series of volcanic island and a hot spot determine the direction of movement of the tectonic plate that for the island