A closed cylindrical tank of water ( = 1000 kg/m 3 ) is rotated about its horizontal

A closed cylindrical tank of water (ρ = 1000 kg/m³) is rotated about its horizontal axis as shown. The water inside the tank rotates with the tank (V = r_ω). Derive an equation for dp/dz along a vertical-radial line through the center of rotation. What is dp/dz along this line for z = –1 m, z = 0, and z = +1 m when ω = 5 rad/s? Here, z = 0 at the axis.

Transcribed Image Text:

z (vertical) -==0 End view Side view