DIMENSIONAL ANALYSIS PRACTICE a. Assume the equation x = At + Bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. Determine the dimensions of the constants A and B. (Use the following as necessary: L and T, where L is the unit of length and Tis the unit of time.) [A] = [B] = b. Assume the equation v = Dcosat describes the speed of a particular object, with v having the dimension of speed andt having the dimension of time. Determine the dimensions of the constants D and w. (Use the following as necessary: L and T, where L is the unit of length and Tis the unit of time.) [D] = [w] = C. Assume the equation p = Cr describes the density of a particular object, with p having the dimension of mass/volume and r having the dimension of length. Determine the dimensions of the constant C. (Use the following as necessary: L and M, where L is the unit of length and M is the unit of mass.) [C] =

13. o Laht aters curved side ot a Semi-cylindrical dish ot water alng a radius hne at an anle of -25.Wl yh leave the dish thmugh the flat side? If so,at what angle of retactiun?t not, why not? Far water,n 1.323. е A. NO haht will notext There mll be a intemal retlection C Yes, the lyht mll extaran angle of 185°. Yes, the light mll exitatan aple of 34.a B

QUESTION 2 Not yer A curve is described parametrically by x(t) = e* . 3te' and y(t) = %3D %3D Find the equation of the tangent line at the point on the curve where t = 1. Select one: Oy=(1/3)x y%3(1/3) x+ e+ 1/e O y=(1/3)x+ e O not in the list y%3D3x QUESTION 3 Not yet answe

1. Find the centroid. The disk has radius 2ft and the hole has radius 0.5ft. y