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# Textbook Notes for Rotational Motion Phys 101 Ragan

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McGill University

Physics

PHYS 101

Kenneth Ragan

Fall

Description

Rotational motion:
# of radians: Theta = arclength/radius
360 degrees = 2pi radians
Angular velocity and acceleration
Angular displacement = theta – 2heta 1
Angular velocity = delta theta/delta time rad/s
All pts rotate with same angular velocity b/c move through same angle in same time interval
+ or – for CW or CCW
Angular acceleration = delta angular velocity/ delta t rad/s^2
A accel is same for all pts as well
Each pt on circle has linear velocity and linear acceleration related to angular quantities as:
V = delta l/ delta t = r*angular velocity --- v = rw
Angular velocity is same for every point but LINEAR velocity is greater for pts farther from axis of
rotation (larger r)
atan= r*aangular
atotal sum of angular and tangential accelerations
ar= r*w^2
TABLE 8-1 SUMMARY
Frequency = w/(2pi)
Rolling without slipping: v = rw
Torque:
Rotating around axis requires force
Place of force applied matters (perpendicular distance from axis ofroati

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