Angular Velocity: Difference between revisions
Joshamathew (talk | contribs) No edit summary |
Joshamathew (talk | contribs) No edit summary |
||
| Line 1: | Line 1: | ||
CLAIMED By Josh Mathew | 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== | |||
State, in your own words, the main idea for this topic | |||
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. | |||
===A Mathematical Model=== | |||
What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings. | |||
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 | |||
===A Computational Model=== | |||
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e 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 = R/v | |||
R= 12 meters | |||
v= 10 m/s | |||
Plug and Chug the variables into the equation | |||
ω = (12 meters) / (10 m/s) = 1.2 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 | |||
[[Category:Which Category did you place this in?]] | |||
Revision as of 23:23, 1 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
State, in your own words, the main idea for this topic 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.
A Mathematical Model
What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings. 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
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 = R/v R= 12 meters v= 10 m/s Plug and Chug the variables into the equation ω = (12 meters) / (10 m/s) = 1.2 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