Angular Velocity: Difference between revisions
Joshamathew (talk | contribs) No edit summary |
Joshamathew (talk | contribs) No edit summary |
||
| Line 4: | Line 4: | ||
==The Main Idea== | ==The Main Idea== | ||
In order to find out the velocity of things which revolve around a body we have to take account not just speed but also the radius of which it is revolving around. In order to figure out the direction of angular velocity we can use the Right hand rule. | In order to find out the velocity of things which revolve around a body we have to take account not just speed but also the radius of which it is revolving around. In order to figure out the direction of angular velocity we can use the Right hand rule. It is important to note the definition of linear velocity, which is the rate of change of position measured in meters with respect to time. The only difference between the two is the fact that the object is rotating around something. | ||
| Line 16: | Line 16: | ||
dθ= rate of change of the radians or degrees | dθ= rate of change of the radians or degrees | ||
dt= rate of change of time throughout the interval | dt= rate of change of time throughout the interval | ||
L = Iω | |||
L= Angular Momentum | |||
I = Moment of inertia | |||
| Line 29: | Line 33: | ||
A car travels with a velocity of 10 m/s and revolves around a track with a radius of 12 meters. What is the angular velocity? | A car travels with a velocity of 10 m/s and revolves around a track with a radius of 12 meters. What is the angular velocity? | ||
Relevant equations: ω = R/v | Relevant equations: ω = 2(pi)R/v | ||
R= 12 meters | R= 12 meters | ||
v= 10 m/s | v= 10 m/s | ||
Plug and Chug the variables into the equation | Plug and Chug the variables into the equation | ||
ω = (12 meters) / (10 m/s) = | ω = 2(pi)(12 meters) / (10 m/s) = 7.540 rads/sec | ||
===Middling=== | ===Middling=== | ||
Revision as of 00:15, 2 December 2015
CLAIMED By Josh Mathew
Angular Velocity describes the rate of change around a center of mass. It is measured in radians/second.
The Main Idea
In order to find out the velocity of things which revolve around a body we have to take account not just speed but also the radius of which it is revolving around. In order to figure out the direction of angular velocity we can use the Right hand rule. It is important to note the definition of linear velocity, which is the rate of change of position measured in meters with respect to time. The only difference between the two is the fact that the object is rotating around something.
A Mathematical Model
ω = R/v ω= The greek symbol of omega symbolizes angular velocity R= The radius of the body of which is rotates, measured in radians V= Linear Velocity
ω = dθ/dt
dθ= rate of change of the radians or degrees dt= rate of change of time throughout the interval
L = Iω L= Angular Momentum I = Moment of inertia
A Computational Model
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
Examples
Be sure to show all steps in your solution and include diagrams whenever possible
Simple
A car travels with a velocity of 10 m/s and revolves around a track with a radius of 12 meters. What is the angular velocity?
Relevant equations: ω = 2(pi)R/v R= 12 meters v= 10 m/s Plug and Chug the variables into the equation ω = 2(pi)(12 meters) / (10 m/s) = 7.540 rads/sec
Middling
Difficult
Connectedness
- How is this topic connected to something that you are interested in?
- How is it connected to your major?
- Is there an interesting industrial application?
History
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
See also
You should also check out the Right Hand Rule. Angular Momentum Linear Velocity
Further reading
Books, Articles or other print media on this topic
External links
Internet resources on this topic
References
This section contains the the references you used while writing this page