r otational k inematics. a ngular m otion e quations motion equations can be written in terms of...

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ROTATIONAL KINEMATICS

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Page 1: R OTATIONAL K INEMATICS. A NGULAR M OTION E QUATIONS Motion equations can be written in terms of angular quantities

ROTATIONAL KINEMATICS

Page 2: R OTATIONAL K INEMATICS. A NGULAR M OTION E QUATIONS Motion equations can be written in terms of angular quantities

ANGULAR MOTION EQUATIONS

Motion equations can be written in terms of angular quantities

Page 3: R OTATIONAL K INEMATICS. A NGULAR M OTION E QUATIONS Motion equations can be written in terms of angular quantities

KINEMATIC EQUATIONS

Page 4: R OTATIONAL K INEMATICS. A NGULAR M OTION E QUATIONS Motion equations can be written in terms of angular quantities

EXAMPLE

A centrifuge rotor is accelerated from rest to 20000 rpm in 30 s. A) What is the angular acceleration B)Through how many revolutions has the centrifuge rotor turned during its acceleration period?

Page 5: R OTATIONAL K INEMATICS. A NGULAR M OTION E QUATIONS Motion equations can be written in terms of angular quantities

EXAMPLE

A bicycle slows down uniformly from 8.40 m/s to rest over a distance of 115 m. The tires have an overall diameter of 68.0 cm. Determine a) the initial angular velocity of the wheels b) the total number of revolutions each wheel rotates before coming to rest c) the angular acceleration of the wheel d) the time it takes to come to a stop