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BASIC EQUATIONS CHAPTER 7 EQUATIONS VARIABLES SI UNITS average angular velocity Dq change in angular position Dt elapsed time w instantaneous angular velocity rad/s Dq rad Dt s w rad/s average angular acceleration w2 final instantaneous angular velocity w1 initial instantaneous angular velocity Dw change in instantaneous angular velocity t2 final time initial time t1 Dt elapsed time rad/s2 w2 rad/s w1 rad/s Dw rad/s t2 s t1 s Dt s w final instantaneous angular velocity at time t initial instantaneous angular velocity at time t = 0 constant angular acceleration elapsed time final angular position at time t initial angular position at time t = 0 w wo a t q qo rad/s rad/s rad/s2 s rad rad linear displacement along arc radius of arc angular displacement along arc measured in radians linear speed along arc angular speed along arc measured in rad/s linear acceleration along arc, tangential angular acceleration along arc measured in rad/s2 s r q v w a a m m rad m/s rad/s m/s2 rad/s2 ac v r w magnitude of centripetal acceleration speed radius angular speed in rad/s ac v r w m/s2 m/s m rad/s Fc m ac v r magnitude of centripetal force mass magnitude of centripetal acceleration speed radius Fc m a v r N kg m/s2 m/s m a at ac magnitude of the net, total acceleration tangential acceleration radial, centripetal acceleration a at ac m/s2 m/s2 m/s2 wo a t q qo s r q v w a a EQUATIONS VARIABLES F G m1 m2 r magnitude of gravitational force gravitational constant G=6.673×10-11 Nm 2/kg2 mass 1 mass 2 distance between masses SI UNITS F G m1 m2 r N Nm 2/kg2 kg kg m g free fall acceleration a distance r from center of Earth G gravitational constant ME mass of the Earth r distance from center of Earth g m/s2 G Nm 2/kg2 ME kg r m PE G ME m r gravitational potential energy of object gravitational constant mass of the Earth mass of the object distance object is from center of Earth PE G ME m r T G MS r period of orbital motion about the sun gravitational constant mass of the sun orbital radius T G MS r ME RE MS MM RM rS-E mass of the Earth average radius of the Earth mass of the sun mass of the moon average radius of the moon average radius of Earth’s orbit J Nm 2/kg2 kg kg m s Nm 2/kg2 kg m
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