vorticorp.blogg.se - Rate of workdone fluid rotating cylinder.

Figure summarizes the rotational dynamics equations with their linear analogs. Figure summarizes the rotational and translational kinematic equations. Use sliders to vary the fluid density and angular velocity. Figure summarizes the rotational variables for circular motion about a fixed axis with their linear analogs and the connecting equation, except for the centripetal acceleration, which stands by itself. This Demonstration shows how the pressure in a fluid is affected by rotation at constant angular velocity. The rotational quantities and their linear analog are summarized in three tables. Rotational and Translational Relationships Summarized We begin this section with a treatment of the work-energy theorem for rotation. The discussion of work and power makes our treatment of rotational motion almost complete, with the exception of rolling motion and angular momentum, which are discussed in Angular Momentum. In this final section, we define work and power within the context of rotation about a fixed axis, which has applications to both physics and engineering.

Thus far in the chapter, we have extensively addressed kinematics and dynamics for rotating rigid bodies around a fixed axis. Counter rotation slips these layers back into place.

Summarize the rotational variables and equations and relate them to their translational counterparts the other, one can simply think of layers of fluid being displaced without involving turbulence, the boundary layer next to the inner rotating cylinder being displaced the most and the layer adjacent to the outside cylinder the least.

Find the power delivered to a rotating rigid body given the applied torque and angular velocity.

Solve for the angular velocity of a rotating rigid body using the work-energy theorem.

Use the work-energy theorem to analyze rotation to find the work done on a system when it is rotated about a fixed axis for a finite angular displacement.By the end of this section, you will be able to: