The velocity field of a flow is given by V = 28y/(x2 + y2)1/2j - 28x/(x2 + y2)/2j ft/s, where x and y are in feet. Determine (a) the fluid speed at points along the x axis; (b) the fluid speed at points along the y axis. What is the angle between the velocity vector and the x axis (use the range (-180°; 180°]) at points (c) (x, y) = ( 9, 0); (d) (x, y) = ( 9, 9); (e) (x, y) = (0, 9)? (a) Vx = i ft/s. (b) vy= i ft/s. %3D (c) 0 = (d) 0 = i (e) 0 = i

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SITUATION. The a-t curve for a particle having a rectilinear motion is shown in the figure. At t=0, the velocity is 30 ft/s and the particle is at the origin. a (ft/s²) 0 168.33 423.95 Determine the displacement after 13 seconds in feet. 631.25 +10 O510.33 -10 7 13 t (sec)

Question 1: The velocity field in the Cartesian coordinates are defined as below: 1 X y 1 -yz´ |i + 2 1 v (x, y,z)=| -- Determine whether the flow is rotational or irrotational

Velocity of flow is given by following equation: =(2y)î+(3x)} Determine the acceleration in x-direction at (1,1).

Consider the velocity field, V(x, y) = xy² î – x²y} where lengths are in meters and time is in seconds. a. What is the acceleration of the fluid particle at (x,y) = (2,1)? b. Is the flow steady? c. Is the flow uniform? d. Is the flow incompressible? e. Is the flow irrotational?

SOLVE AREA METHOD. NOT BY FORMULA METHOD THEN PLOT IT AND GET THE COORDINATE PER 1 SECOND.  a) Determine the acceleration per one second.b) Determine the velocity per one second if the initial velocity is V1 m/s.c) Determine the displacement per one second if the initial displacement is S1 m

8. A particle is moving along a straight line such that its position is defined by s = (10r + 20) mm, where t is in seconds. Determine (a) the displacement of the particle during the time interval from t l1s to t 5 s, (b) the average velocity of the particle during this time interval, and (c) the acceleration when t 1 s. Ans: As = 240 mm; vavg = 60 mm/s; a = 20 mm/s? 9. The acceleration of a particle as it moves along a straight line is given by a = (2t - 1) m/s, where t is in