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Rotational Motion and the Rotational Motion and the Law of GravityLaw of Gravity
Tangential and Centripetal Tangential and Centripetal MotionMotion
Relationships Between Angular and Relationships Between Angular and Linear MotionLinear Motion
Objects in circular motion have tangential Objects in circular motion have tangential speedspeed
Tangential speed – the instantaneous Tangential speed – the instantaneous linear speed of an object directed along linear speed of an object directed along the tangent to the object’s circular paththe tangent to the object’s circular path
Measured in meters/second (m/s)Measured in meters/second (m/s)
Tangential speed = radius * angular speedTangential speed = radius * angular speed
vvtt=r=rωω
Relationships Between Angular and Relationships Between Angular and Linear MotionLinear Motion
Tangential acceleration – instantaneous Tangential acceleration – instantaneous linear acceleration of an object in a circular linear acceleration of an object in a circular path tangent to the circlepath tangent to the circle
Measured in meters/secondMeasured in meters/second22 (m/s (m/s22))
Tangential acceleration = radius * angular Tangential acceleration = radius * angular accelerationacceleration
aatt = r = rαα
Centripetal AccelerationCentripetal Acceleration
Centripetal acceleration – linear Centripetal acceleration – linear acceleration directed toward the center of acceleration directed toward the center of as circular pathas circular path
Measured in meters/secondMeasured in meters/second22 (m/s (m/s22))
Centripetal acceleration = (tangential Centripetal acceleration = (tangential speed)speed)22/radius = radius * (angular speed)/radius = radius * (angular speed)22
aacc=v=vtt22/r=r/r=rωω22
Centripetal AccelerationCentripetal Acceleration
Tangential and centripetal accelerations Tangential and centripetal accelerations are perpendicularare perpendicular
Can use the Pythagorean theorem to find Can use the Pythagorean theorem to find total accelerationtotal acceleration