The figure below gives a sketch of a velocity vector field F = (-1-y)i +(-1) in the zy-plane. Note that vectors are given with a dot at the tail of eac arrow. (a) What is the direction of rotation of a thin twig placed at the origin along the z-axis? ? (b) What is the direction of rotation of a thin twig placed at the origin along the y-axis? ? (c) If we put a paddle wheel at the origin, instead of a twig, in what direction would you expect that to rotate? ? (d) Compute curl F. curlF
The figure below gives a sketch of a velocity vector field F = (-1-y)i +(-1) in the zy-plane. Note that vectors are given with a dot at the tail of eac arrow. (a) What is the direction of rotation of a thin twig placed at the origin along the z-axis? ? (b) What is the direction of rotation of a thin twig placed at the origin along the y-axis? ? (c) If we put a paddle wheel at the origin, instead of a twig, in what direction would you expect that to rotate? ? (d) Compute curl F. curlF
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Transcribed Image Text:The figure below gives a sketch of a velocity vector field =(-2-y)i + (-) in the zy-plane. Note that vectors are given with a dot at the tail of each
arrow.
(a) What is the direction of rotation of a thin twig placed at the origin along the x-axis?
?
(b) What is the direction of rotation of a thin twig placed at the origin along the y-axis?
?
(c) If we put a paddle wheel at the origin, instead of a twig, in what direction would you expect that to rotate?
?
(d) Compute curl F.
curlF
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