Periodic and Circular Motion Periodic and Circular Motion Physics Help Forum Oct 3rd 2013, 04:45 AM #1 Junior Member   Join Date: Sep 2013 Posts: 10 Linear Speed? Angular Speed? Centripetal Acceleration? a toy car moves around a circular track that has a diameter of 1.2m. It makes one complete revolution in 12secs. calculate the linear speed, angular speed and centripetal acceleration. can u pls tell me how to answer that?   Oct 3rd 2013, 06:02 AM #2 Physics Team   Join Date: Jun 2010 Location: Morristown, NJ USA Posts: 2,347 Think it through this way: You can calculate the distance around the track from geometry: Circumference = pi times diameter. If it makes one complete revolution in T=12 seconds then its linear velocity is distance traveled divided by time = pi x D/T. The angular velocity is expressed in radians per second. One revolution = 2 pi radians, so the angular speed is 2 pi radians/12 seconds. The formula that you should remember is w = 2 pi/T, where w = angular velocity in radians/second and T = period of revolution. The centripetal acceleration is calculated using a = w^2 R, where w = angular velocity in radians/second (which you just calculated) and R = radius. You should memorize this formula.  Tags acceleration, angular, angular speed, centripetal, centripetal acceleration, linear, linear speed, speed Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Physics Forum Discussions Thread Thread Starter Forum Replies Last Post bradycat Energy and Work 1 Mar 9th 2010 06:47 AM christina Kinematics and Dynamics 2 Nov 29th 2009 10:35 AM climber123boy Advanced Mechanics 1 Mar 30th 2009 09:45 AM hawaii Kinematics and Dynamics 2 Mar 21st 2009 08:21 PM ramiro Advanced Mechanics 1 Mar 18th 2009 08:25 PM 