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Linear and Angular Velocity
Angular Velocity
Linear Velocity
The Rate at which something turns. Its angle moved divided by time. Angular Velocity- W= Theta (O)/T
The Rate at how fast something moves; Distance divided by time. Linear Velocity- V=S/T
O= Angle in Radians S= Arc Length T= Time
Antonio Rodriguez Pre-Calculus Hoenig: 4th
Examples of Linear Velocity
Examples of Angular Velocity
To calculate the linear velocity of the fan blade, we note that the blade rotates 30 times in one minute or 30*60=1800 times per hour. Assuming the radius of the fan is 2 feet, we have the circumference of the fan as 2*3.14*r= 2*3.14*2= 4*3.14 feet= 4*3.14/5280 miles. Multiplying this by 1800 gives 1800* (4*3.14)/5280=180 *3.14/132=15 (3.14)/11= 4.28 miles per hour.
Consider the Earth which rotates on its axis once every 24 hours. This complete circle is 2*3.14 radians. Therefore, the angular velocity of the Earth’s rotation is 2*3.14/24=3.14/12 Radians/Hour= 648,00 Degrees Per Hour.
Resources
"Angular and Linear Velocity." AlgebraLAB: Making Math and Science Connections. Web. 30 Oct. 2011. .
"Rotation, Angular and Linear Speed - Questions with Answers." Free Mathematics Tutorials, Problems and Worksheets (with Applets). Web. 30 Oct. 2011. .
