Ch 10: Rotational KinematicsSee all chapters
All Chapters
Ch 01: Units & Vectors
Ch 02: 1D Motion (Kinematics)
Ch 03: 2D Motion (Projectile Motion)
Ch 04: Intro to Forces (Dynamics)
Ch 05: Friction, Inclines, Systems
Ch 06: Centripetal Forces & Gravitation
Ch 07: Work & Energy
Ch 08: Conservation of Energy
Ch 09: Momentum & Impulse
Ch 10: Rotational Kinematics
Ch 11: Rotational Inertia & Energy
Ch 12: Torque & Rotational Dynamics
Ch 13: Rotational Equilibrium
Ch 14: Angular Momentum
Ch 15: Periodic Motion (NEW)
Ch 15: Periodic Motion (Oscillations)
Ch 16: Waves & Sound
Ch 17: Fluid Mechanics
Ch 18: Heat and Temperature
Ch 19: Kinetic Theory of Ideal Gasses
Ch 20: The First Law of Thermodynamics
Ch 21: The Second Law of Thermodynamics
Ch 22: Electric Force & Field; Gauss' Law
Ch 23: Electric Potential
Ch 24: Capacitors & Dielectrics
Ch 25: Resistors & DC Circuits
Ch 26: Magnetic Fields and Forces
Ch 27: Sources of Magnetic Field
Ch 28: Induction and Inductance
Ch 29: Alternating Current
Ch 30: Electromagnetic Waves
Ch 31: Geometric Optics
Ch 32: Wave Optics
Ch 34: Special Relativity
Ch 35: Particle-Wave Duality
Ch 36: Atomic Structure
Ch 37: Nuclear Physics
Ch 38: Quantum Mechanics

Concept #1: Rotational Velocity & Acceleration

Example #1: Rotational velocity of Earth

Practice: Calculate the rotational velocity (in rad/s) of a clock’s minute hand. 

EXTRA: Calculate the rotational velocity (in rad/s) of a clock’s hour hand.

Practice: A wheel of radius 5 m accelerates from 60 RPM to 180 RPM in 2 s. Calculate its angular acceleration.

Additional Problems
As a particle with a velocity v in the negative x direction passes through the point (0, 0, 1), it has an angular velocity relative to the origin that is best represented by vector A. 1 B. 2 C. 3 D. 4 E. Zero
A wheel of radius 0.5 m rolls without slipping on a horizontal surface. Starting from rest, the wheel moves with a constant angular acceleration of 6 rad/s2 . The distance traveled by the center of the wheel from t = 0 to t = 3 s is about: A. none of these B. 2.1 m C. 13.5 m D. 18 m E. 27 m
When you look up into the sky, you always see the same part of the moon, no matter what time of the month or year it is. In order to achieve this, the rotational period of the moon must be equal to its orbital period (how long it takes to orbit the Earth). Given this fact, what is the angular velocity of the moon due to its spinning about its own axis?
When you ride your bicycle, in what direction is the angular velocity of the wheels? A) to your left B) to your right C) forward D) backward E) up
Two solid discs are rotating about a perpendicular shaft through their centers, as shown in the figure. Disc A, has a radius that is twice as large as disc  B,? Which of the following statements is NOT true? A) A point on the rim of disc  A, has twice the linear speed as a point on the rim of disc  B. B) The direction of the angular velocity is to the right. C) Every point on the body has the same angular acceleration. D) The linear acceleration of a point on the rim of disc  B is the same as the linear acceleration of a point halfway from the center to the rim on disc  A. E) The angular velocity at a point on the rim of disc  A is twice the angular velocity of a point on the rim of disc B.
Two children are riding on a merry-go-round. Child A is at a greater distance from the axis of rotation than child B. Which child has the larger tangential speed?A) Child BB) They have the same zero tangential speedC) Child AD) They have the same non-zero tangential speedE) There is not enough information given to answer the question.