solve the whole question

Consider the steady-state behavior of water contained in an open to the air 1.00cm-diameter, 1.00m-tall vertical cylinder. The cylinder rotates at an angular velocity of 10.0s1. Consider the following not-to-scale labeled diagram: a. What components of the velocity are non-zero and what are they a function of? Justify all assumptions when possible based on governing equations and scaling. b. Determine the velocity profile c. Determine the pressure profile d. Where does the air-water interface contact the side of the container relative to the centerline? e. What is the force on the walls of the cylinder? Hint: You can rewrite the total derivative of any term as the sum of the partial derivatives: dF=(dxdF)y,zdx+(dydF)x,zdy+(dzdF)x,ydz