PHY 1010U Lecture Notes - Lecture 6: Acceleration, Angular Velocity, Angular Acceleration

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31 Oct 2016
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Very similar to the 1d kinematic equations at constant a, the rotational kinematic equations at constant angular acceleration are: Velocity at any point along the path points always tangential to the path. A particle that is not moving in a straight line changes the direction of its velocity. In that case it must experience acceleration, (even in the case the speed is constant). Also, the net acceleration is not parallel to the velocity, but in general can be written as two perpendicular parts with components at and ar: Tangential acceleration at (along or opposite the velocity) changes the particle"s speed. Centripetal acceleration ar (perpendicular to the velocity) changes the direction of motion. Next, we will discuss the relations between the linear v, a and the angular , , . We will first discusss the general case, the nonuniform circular motion, for which the speed of the particle as it moves in a circle changes with time.

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