A 3-ft-diameter vertical cylindrical tank open to the atmosphere contains 1-ft-high water. The tank is now rotated about the centerline, and the water level drops at the center while it rises at the edges. Determine the angular velocity at which the bottom of the tank will first be exposed. Also determine the maximum water height at this moment.

2””↑ 2" The tabletop experiment shown below has been designed to demonstrate the reaction of a free surface to acceleration. If the weight provides a constant acceleration of 20.1 ft/s2, draw the free surface during acceleration, labeling the water height at each end of the car and the angle o made by the free surface with respect to the horizontal. Car At Rest 6" 4" Car With Constant Acceleration

A large tank weighing 80 N and containing 0.25 m³ of water, is pulled horizontally by a force of 100 N. The tank is open to the atmosphere (a) Determine the acceleration of the tank. (b) Determine the equation of the free surface and the inclination the angle 0. y X. ax

Determine the height h of the water level behind the dam that causes the concrete dam to be just about to tip over from the water. Assume the dam is 1 meter thick (in the plane of the page) and that the density of concrete is 2,400 kg/m³. h B 4 m 16 m