Angular+and+Linear+Velocity

Welcome to the wonderful world of Linear and Angular Velocities! media type="odeo" key="9947693" ARG0="http://media.odeo.com/1/9/7/Dani_California.mp3" height="60" width="150" Let's take a quick look at these two extensions of physics. [|Video]

The Formula of **Angular Velocity** w=a/t in other words, velocity (w) is equal to the change in angle (a) in pi radians over time. example: Consider a point located on a helicopter blad that is rotating at 400 revolutions per minute. Though 400 rev/min could be considered an angular velocity, we generally express angular velocity in radians per unit of time. Therefore we must convert the given value into rad/time. 400rev/1min = 400rev/1min * 2pi rad/1 rev = 800pi rad/1 min = 2513rad/min

example: A typical lawnmower blade rotates at a rate of 2500 revolutions per minute. What is the angular velocity in radians per second of a point on the tip of the blade. answer: w= 2500rev/min = 2500rev/min * 2pi rad/1 rev * 1 min/60 sec = 261.8 rad/sec

[|A wonderful site about Linear and Angular velocity]

The formula of **Linear Velocity**

v=s/t

where velocity (v) is equal to (s), the arc length determined by s=ar (angle times radius), divided by time.

example: A propeller with a radius of 1.2 meters is rotating at 1400 revolutions per minute. What is the linear velocity in meters per minute for a point on the tip of the propeller. answer: The point is traveling on a circle with circumference 2pi(1.2), or 2.4pi meters. According to the definition of linear velocity we divide the distance traveled (or arc length) by the amount of time. We can accomplish this by converting rev/min to m/min by cancellation of units. therefore v= 1400rev/1 min= 1400rev/1min * 2.4pi m/1 rev = 3360pi m/1 min = 10,556 m/min

[|Cliff notes on Angular and Linear Velocity]

This next clip is of the Viper roller coaster in Six Flags. [|Roller Coaster]
 * The angular velocity of the rollercoaster is that which it experiences as it perfoms the curve of the loop. || [[image:http://www.scienceclarified.com/everyday/images/scet_02_img0121.jpg align="center"]] || The linear velocity of the roller coaster goes off on a straight line from any point on the circle of the loop. ||

A fun video about Angular Velocity....Presented by.....[|THE TRIG BUSTERS!!!]