Question

Oil Spill In calm waters, the oil spilling from the ruptured hull of a grounded tanker forms an oil slick that is circular in shape. If the radius r of the circle is increasing at the rate of re) - Vat+9 ft/mint min after the rupture occurs, find an expression for the radius at any time. Hint: (0) - 0. How large is the polluted area 36 min after the rupture occurred?

Answer 1

Strona Panda s chrath = 35 ) Sep 264 = 35.684 +9)*+' tc +1 dll) = 701@+ +9) to r (0) = 0 o = 70 sg to C= -210 (H = 70 5(2+ +9) -210.7ft When t= 36 min then area A= *(( (36)2 = 70 13644+9 – 2007? 2 ** 420 4420 = 22 + 420x 42 ft² area =554,400 ft²