Question

5. A cylindrical tank of water rotates in solid-body rotation, counterclockwise about a vertical axis at angular speed \(\omega = 175\) revolutions per minute (rpm). The vorticity of fluid particles in the tank is ________ a. \(18.4\vec{k}\) b. \(36.7\vec{k}\) c. \(25.8\vec{k}\) d. \(17.5\vec{k}\)

          5. A cylindrical tank of water rotates in solid-body rotation, counterclockwise about a
vertical axis at angular speed \(\omega = 175\) revolutions per minute (rpm). The vorticity of
fluid particles in the tank is ________
a. \(18.4\vec{k}\)
b. \(36.7\vec{k}\)
c. \(25.8\vec{k}\)
d. \(17.5\vec{k}\)

5. A cylindrical tank of water rotates in solid-body rotation, counterclockwise about a
vertical axis at angular speed ω = 175 revolutions per minute (rpm). The vorticity of
fluid particles in the tank is
a. 18.4k⃗
b. 36.7k⃗
c. 25.8k⃗
d. 17.5k⃗

Added by Ignacio C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Darryl Burns

Step 1

ω = 175 rpm = 175 × (2π rad/60 s) = 175 × 0.1047 = 18.33 rad/s Show more…

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A cylindrical tank of water rotates in solid-body rotation, counterclockwise about a vertical axis at an angular speed w = 175 revolutions per minute (rpm). The vorticity of the fluid particles in the tank is: a. 18.4k b. 36.7k c. 25.8k d. 17.5k Free surface Liquid