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College Physics: A Strategic Approach, 3e
Knight
Chapter 7 Key Equations
Chapter 7
Rotational Motion
angular displacement 

time interval
t
Angular velocity of a particle in uniform circular motion

f  i     t
(7.3)
(7.4)
Angular displacement for uniform circular motion
v  r
(7.7)
Relationship between speed and angular speed
change in angular velocity 

time interval
t
Angular acceleration for a particle in nonuniform circular motion

(7.8)
at   r
Relationship between tangential and angular acceleration
(7.9)
t  rF
Torque due to a force with perpendicular component F acting at a
distance r from the pivot
(7.10)
t  r F
(7.11)
Torque due to a force F with moment arm r
I  m1r12  m2r22  m3r32 
  mi ri 2
(7.21)
Moment of inertia of a collection of particles
Copyright © 2015 Pearson Education, Inc.
Page 1
College Physics: A Strategic Approach, 3e
Knight
Chapter 7 Key Equations
Newton’s second law for rotation An object that experiences a net torque net about the axis of
rotation undergoes an angular acceleration
t net
I
where I is the moment of inertia of the object about the rotation axis.

vobj   R
aobj   R
Motion constraints for an object connected to a pulley of radius R
by a nonslipping rope
Copyright © 2015 Pearson Education, Inc.
(7.22)
(7.23)
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