Question

Let T be the triangular region with vertices (1,0,0)(1,0,0), (0,1,0)(0,1,0), and (0,0,1)(0,0,1) oriented with upward-pointing normal vector.

A fluid flows with constant velocity field v=4i+6j m/sv=4i+6j
m/s. Calculate:

**(a)** The flow rate through T

**(b)** The flow rate through the projection of T
onto the xyxy-plane [the triangle with vertices (0,0,0)(0,0,0),
(1,0,0)(1,0,0), and (0,1,0)(0,1,0)]

Assume distances are in meters.

**(a)** ∬Sv⋅dS=∬Sv⋅dS=

**(b)** ∬Sv⋅dS

Answer #1

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