While watching a softball game you see a play that makes you wonder how fast a fielder can react to a hit, run to the fence, and leap up to make the catch. In this play, the batter hits a ball when it is barely off the ground. It looks like it will be home run over the left center field wall which is in a distance D= 215.0 ft from home plate. As soon as the ball is hit, the left fielder runs to the wall, leaps high, and catches it just before it clears the top of the wall with height h= 10.0 ft . You estimate that the ball left the bat at an angle of θ=30°.

Asteel tube (k=50 w/mk) of inner and outer diameter di = 20mm and do=26mm, respectively, is used to transfer heat from hot gases flowing over the tube (h-hot = 200w/m2k) to cold water flowing through the tube (h-cold = 8000 w/m2k). what is the cold-side overall heat transfer coefficient uc? to enhance heat transfer 16 straight fins of rectangular profile are installed longitudinally along the outer surface of the tube. the fins are equally spaced around the circumference of the tube, each having a thickness of 2mm and a length of 15mm. what is the corresponding overall heat transfer coefficient uc? *solve for uc in both cases*