Rotational Motion Angular Quantities Angular Displacement Angular Speed
![Rotational Motion Rotational Motion](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-1.jpg)
![Angular Quantities • Angular Displacement • Angular Speed • Angular Acceleration Angular Quantities • Angular Displacement • Angular Speed • Angular Acceleration](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-2.jpg)
![Linear to Angular • Angle to Distance • Angular to Linear Velocity • Angular Linear to Angular • Angle to Distance • Angular to Linear Velocity • Angular](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-3.jpg)
![Kinematics • For each kinematic equation there is an angular analog. Kinematics • For each kinematic equation there is an angular analog.](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-4.jpg)
![Bike Ride • A bicycle wheel with radius 0. 91 m is spinning at Bike Ride • A bicycle wheel with radius 0. 91 m is spinning at](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-5.jpg)
![Torque • Torque - Force’s effectiveness in altering rotation motion. (Also called the moment Torque • Torque - Force’s effectiveness in altering rotation motion. (Also called the moment](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-6.jpg)
![Diving • A 85 kg man stands on a diving board. If he is Diving • A 85 kg man stands on a diving board. If he is](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-7.jpg)
![Moment of Inertia • From Newton’s 2 nd Law Moment of Inertia One particle Moment of Inertia • From Newton’s 2 nd Law Moment of Inertia One particle](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-8.jpg)
![Weighted Bar • What is the moment of inertia for the object illustrated below Weighted Bar • What is the moment of inertia for the object illustrated below](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-9.jpg)
![Continuous Media • For Continuous Media the moment of inertia is • Ex. What Continuous Media • For Continuous Media the moment of inertia is • Ex. What](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-10.jpg)
![Atwood’s Machine • Two masses are attached to a string and placed over a Atwood’s Machine • Two masses are attached to a string and placed over a](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-11.jpg)
![Parallel-Axis Theorem • If the moment of inertia is know w. r. t. the Parallel-Axis Theorem • If the moment of inertia is know w. r. t. the](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-12.jpg)
![Rotational Energy • Rotational equivalent to kinetic energy w Pivot Rotational Energy • Rotational equivalent to kinetic energy w Pivot](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-13.jpg)
![Race Down the Slope • A block and a ball move down an inclined Race Down the Slope • A block and a ball move down an inclined](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-14.jpg)
- Slides: 14
![Rotational Motion Rotational Motion](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-1.jpg)
Rotational Motion
![Angular Quantities Angular Displacement Angular Speed Angular Acceleration Angular Quantities • Angular Displacement • Angular Speed • Angular Acceleration](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-2.jpg)
Angular Quantities • Angular Displacement • Angular Speed • Angular Acceleration
![Linear to Angular Angle to Distance Angular to Linear Velocity Angular Linear to Angular • Angle to Distance • Angular to Linear Velocity • Angular](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-3.jpg)
Linear to Angular • Angle to Distance • Angular to Linear Velocity • Angular to Linear Acceleration q r s
![Kinematics For each kinematic equation there is an angular analog Kinematics • For each kinematic equation there is an angular analog.](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-4.jpg)
Kinematics • For each kinematic equation there is an angular analog.
![Bike Ride A bicycle wheel with radius 0 91 m is spinning at Bike Ride • A bicycle wheel with radius 0. 91 m is spinning at](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-5.jpg)
Bike Ride • A bicycle wheel with radius 0. 91 m is spinning at 2. 2 revolutions per second. If the wheel stops in 50 m, what is the average angular deceleration? w
![Torque Torque Forces effectiveness in altering rotation motion Also called the moment Torque • Torque - Force’s effectiveness in altering rotation motion. (Also called the moment](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-6.jpg)
Torque • Torque - Force’s effectiveness in altering rotation motion. (Also called the moment of the force. ) F Pivot Torque depends on Distance from pivot Magnitude of applied force Direction of applied force q r Units (N·m)
![Diving A 85 kg man stands on a diving board If he is Diving • A 85 kg man stands on a diving board. If he is](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-7.jpg)
Diving • A 85 kg man stands on a diving board. If he is 2. 5 m from the pivot point, what torque is he exerting on the board?
![Moment of Inertia From Newtons 2 nd Law Moment of Inertia One particle Moment of Inertia • From Newton’s 2 nd Law Moment of Inertia One particle](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-8.jpg)
Moment of Inertia • From Newton’s 2 nd Law Moment of Inertia One particle Multiple particles
![Weighted Bar What is the moment of inertia for the object illustrated below Weighted Bar • What is the moment of inertia for the object illustrated below](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-9.jpg)
Weighted Bar • What is the moment of inertia for the object illustrated below if it spins about its center of mass?
![Continuous Media For Continuous Media the moment of inertia is Ex What Continuous Media • For Continuous Media the moment of inertia is • Ex. What](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-10.jpg)
Continuous Media • For Continuous Media the moment of inertia is • Ex. What is the moment of inertia for the washer about its axis if the inner radius is 1. 0 cm and the outer radius is 3. 0 cm and the mass is 20 g? b a
![Atwoods Machine Two masses are attached to a string and placed over a Atwood’s Machine • Two masses are attached to a string and placed over a](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-11.jpg)
Atwood’s Machine • Two masses are attached to a string and placed over a pulley of mass 2. 0 kg and radius 15 cm. • What is the acceleration of the masses if m 1 = 3. 0 kg and m 2 = 2. 0 kg? m 2 m 1
![ParallelAxis Theorem If the moment of inertia is know w r t the Parallel-Axis Theorem • If the moment of inertia is know w. r. t. the](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-12.jpg)
Parallel-Axis Theorem • If the moment of inertia is know w. r. t. the center of mass, then by shifting the pivot point the new moment of inertia is • From the washer in the previous problem what is the moment of inertia about the edge of the washer? New Pivot h CM
![Rotational Energy Rotational equivalent to kinetic energy w Pivot Rotational Energy • Rotational equivalent to kinetic energy w Pivot](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-13.jpg)
Rotational Energy • Rotational equivalent to kinetic energy w Pivot
![Race Down the Slope A block and a ball move down an inclined Race Down the Slope • A block and a ball move down an inclined](https://slidetodoc.com/presentation_image/fd5c55d21892364717ad180c812f43e7/image-14.jpg)
Race Down the Slope • A block and a ball move down an inclined plane. The block is able to slide while the ball has enough friction to roll. What are the velocities when they reach the bottom of a 0. 25 m high slope assuming frictional loses are negligible?
Linear to angular velocity
Torque right hand rule
Second condition of equilibrium
Single displacement vs double displacement
Rotational molding speed ratio
Kinematics equations
Angular momentum right hand rule
Inertia
What quantities are shown on a complete motion diagram
Is distance a scalar quantity
Displacement is scalar or vector
Si unit of angular velocity
Angular displacement variable
Angular displacement biomechanics
Rotational motion equations