Rotational Kinematic Problem-Solving:

What point is the system rotating around ?
* The radius vector r used in the rotational equations is the distance from the axis of rotation and not necessarily the radius of the object.

* For free rotational motion r is the distance to the center of mass since this the point about which the object will rotate.

Is the rotational acceleration α of the system constant or zero ?
* If the angular acceleration is constant then you can use rotational kinematic equations.

* Many of the points you must consider are similar to those you used in solving linear kinematics problem.

* Most rotational problems have a linear analogy. When first learning how to solve rotational problems, it is useful to consider the linear counterpart since you may be more familiar with it. For example, a rotating turntable that slows to a stop is equivalent to a moving block sliding to a halt.

* The structural form of the rotational kinematic equations is similar to the form of the linear kinematic equations. Only the symbols have changed,

x => θ
v => ω
a => α

* Do not be afraid to use Greek symbols. The advantage is that if you see a Greek symbol, you know it indicates a rotational quantity and not a linear quantity. Just because you may not be familiar with using Greek symbols does not mean you should avoid their use. The structure of any symbol is not what is important, it is what concept the symbol points to that is important.

Do I have the values of all the angular variables in radians ?
* Most equations that relate linear and rotational quantities such as v = ω r, will not work correctly unless the angular quantities are expressed in terms of radians.

* A purely rotational equation such as 2αθ = ω2- ωo2 can be expressed in degrees or revolutions, provided you use the same units consistently for every term in every rotation equation you use. You cannot have ω in rev/s, θ in degrees, and α in rad/s2 in the same equation or in two equations that are related. It is a lot easier to convert all the variables given to radians /something at the beginning of a problem and be done with it.


Show Topics Menu Frames