Let T be the triangular region region with vertices (1,0,0), (0, 1,0), and (0,0, 1) oriented with upward-pointing normal vector. Assume distances are in meters. (0, 0, 1) (0, 1, 0) (1,0, 0) A fluid flows with constant velocity field v = 22k (meters per second). (a) Calculate the flow rate through T. (Give your answer as a whole or exact number.) m'ls = SP · (b) Calculate the flow rate through D, the projection of Tonto the xy-plane [the triangle with verticies (0,0,0), (1,0,0), (0, 1,0)]. (Give your answer as a whole or exact number.) m/s V• dS =

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Let T be the triangular region region with vertices (1,0,0), (0, 1,0), and (0,0, 1) oriented with upward-pointing normal
vector. Assume distances are in meters.
|(0,0, 1)
(0, 1, 0)
(1,0, 0)
A fluid flows with constant velocity field v =
22k (meters per second).
(a) Calculate the flow rate through T.
(Give your answer as a whole or exact number.)
m/s
V • dS =
(b) Calculate the flow rate through D, the projection of Tonto the xy-plane [the triangle with verticies (0,0,0),
(1,0,0), (0, 1,0)].
(Give your answer as a whole or exact number.)
m/s
V • dS =
D
Transcribed Image Text:Let T be the triangular region region with vertices (1,0,0), (0, 1,0), and (0,0, 1) oriented with upward-pointing normal vector. Assume distances are in meters. |(0,0, 1) (0, 1, 0) (1,0, 0) A fluid flows with constant velocity field v = 22k (meters per second). (a) Calculate the flow rate through T. (Give your answer as a whole or exact number.) m/s V • dS = (b) Calculate the flow rate through D, the projection of Tonto the xy-plane [the triangle with verticies (0,0,0), (1,0,0), (0, 1,0)]. (Give your answer as a whole or exact number.) m/s V • dS = D
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