The velocity field of a flow is given by V = 30y/(x2 + y2)1/2i - 30x/(x2 + y2)1/2j ft/s, where x and y are in feet. Determine (a) the fluid speed at points along the x axis; (b) the fluid speed at points along the y axis. What is the angle between the velocity vector and the x axis (use the range (-180°; 180°]) at points (c) (x, y) = (2, 0); (d) (x, y) = (2, 2); (e) (x, y) = (0, 2)?

Afour cylinder four-stroke in-line engine has a stroke of 160mm, connecting rod length of 150mm, a reciprocating mass of 3kg and its firing order is 1-3-4-2. the spacing between cylinders is 100mm. i. show that the engine is in balance with regard to the primary inertia forces and primary 3. a and secondary inertia couples. li determine the out of balance secondary inertia force ii. propose ways of balancing this out of balance force and discuss the challenges that will arise

Apipe with an outside diameter of 15 cm is exposed to an ambient air and surrounding temperature of -20°c. the pipe has an outer surface temperature of 65°c and an emissivity of 0.85. if the rate of heat loss from the pipe surface is 0.95 kw per meter of length, the external convective heat transfer coefficient (h) is: (a) 12.5 w/m"k (b) 18.6 w/mk (c) 23.7 w/mk (d) 27.9 w/mk (e) 33.5 w/mk

Burgers vector is generally parallel to the dislocation line. a)-true b)-false