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. [v. ds dS = A fluid flows with constant velocity field v = 10k (meters per second). (a) Calculate the flow rate through T. (Give your answer as a whole or exact number.) (1, 0, 0) [v. ds = 2 Incorrect (0, 0, 1) (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.) (0, 1, 0) 5 m³/s m³/s
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. [v. ds dS = A fluid flows with constant velocity field v = 10k (meters per second). (a) Calculate the flow rate through T. (Give your answer as a whole or exact number.) (1, 0, 0) [v. ds = 2 Incorrect (0, 0, 1) (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.) (0, 1, 0) 5 m³/s m³/s
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
[v. ds
dS =
A fluid flows with constant velocity field v = 10k (meters per second).
(a) Calculate the flow rate through T.
(Give your answer as a whole or exact number.)
(1, 0, 0)
[v. ds
=
2
Incorrect
(0, 0, 1)
(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.)
(0, 1, 0)
5
m³/s
m³/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e4efaad-01e1-4524-af61-c7099ab2b615%2F5db770ba-46a8-4386-ac60-570ea4fd68f3%2F49hdsp_processed.png&w=3840&q=75)
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.
[v. ds
dS =
A fluid flows with constant velocity field v = 10k (meters per second).
(a) Calculate the flow rate through T.
(Give your answer as a whole or exact number.)
(1, 0, 0)
[v. ds
=
2
Incorrect
(0, 0, 1)
(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.)
(0, 1, 0)
5
m³/s
m³/s
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