08/22/15

A cylindrical water tower 10 ft in diameter and 40 ft in height has its center 100 ft above the ground.

 A pump on the ground fills the tank with water whose density is 62.4 lb/ft3.   How much work is done in filling the tank half way? a. 35.2 million ft-lb b. 15.7 million ft-lb c. 8.8 million... more

08/05/15

. Prove that the total integral of curvature with respect to arclength is the same for every such curve: integral 0 to L (?dl) = 2p.

Consider a simple, smooth (so that it has a well-defined tangent vectorat every point), closed planar curve of total length L. Prove that the total integralof curvature with respect to arclength is... more

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