Question

Problem 3.05 - Enhanced - with Hints and Feedback Item 2 Review A flow field is defined by u = (2x + 1) m/s and v = (xy) m/s, where x and y are in meters. Part B Find the magnitude of the velocity of a particle located at point (3 m, 1 m). Express your answer to three significant figures and include the appropriate units. View Available Hints) HHA ? V ** Value Units Submit

Answer 1

u = 2x²+1

v = xy

At a point (3m , 1m ),

u = 2x² + 1 = 2*3²+1 = 19 m/s

v = xy = 3*1 = 3m/s

Magnitude of velocity at point (3m, 1m) is given by

$V = \sqrt{u^{2}+v^{2}}=\sqrt{19^{2}+3^{2}}=19.235 m/s$

Direction of velocity with x-axis is given by,

tano u

$\theta = tan^{-1}\frac{v}{u}= tan^{-1}\frac{3}{19}= 8.972^{0}$

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tano u

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