4: A cylindrical tank of water rotates about its vertical axis, as shown in the

Question

4: A cylindrical tank of water rotates about its vertical axis, as shown in the figure. A PIV system is used to measure the vorticity field of the flow. The measured value of vorticity in the direction is 54 rad/s and is constant to within ±0.5 percent everywhere that its measured. Calculate the angular speed of rotation of the tank in rpm. Is the tank rotating clockwise or counterclockwise about the vertical axis? 18.33 points awarded rim Scored Free surface Liquid The angular speed of rotation of the tank is32rpm The tonk rotating [Countercockwise O about the vertical axis

Explanation / Answer

vorticity = 2 x angular velocity

angular velocity = vorticity / 2

= 54 / 2

= 27.5 rps

= 27.5 x 60 rpm

= 1650 rpm

and the tank rotating in clockwise direction about vertical axis

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