Worksheet
Rotational Kinetic Energy
Printer Friendly Version
Refer to the following information for the next three questions.
A block and a hoop are both given an initial velocity of v
_{o}
= 5 m/sec at the bases of their identical inclines.
To what height,
H
, will the block slide up its incline if the incline is tilted at an angle of
q
= 53º?
To what height,
h
, will the hoop roll up its incline if the incline is also tilted at an angle of
q
= 53º?
What is the ratio of h/H?
Refer to the following information for the next two questions.
A thin hoop of mass, M, is released from rest and rolls down an incline of length L.
If
M
= 1 kg,
L
= 1 meter, and
q
= 37º, how fast will the hoop be traveling when it reaches the base of the incline?
After the hoop reaches the bottom of the incline it then rolls across a table flying off its edge and subsequently striking the ground. If the table is 80-cm tall, how far from the base of the table will the hoop strike the ground?
Refer to the following information for the next question.
A car of mass,
m
, rolls from rest down an incline of height,
h
.
If each cylindrical wheel has an additional mass of (
¼)m
and radius,
r
, develop an expression for the car's translational velocity when it reaches the base of the incline.
Refer to the following information for the next two questions.
A 6-kg ball is released from rest and rolls down an incline. When it reaches the end of the incline it falls through a height of 3 meters to reach a waiting cart.
What is the ball's velocity when it reaches the base of the incline (before it leaves the table)?
How far from the base of the table should the waiting cart be placed? (HINT: Remember that you have to take components of the ball's velocity to get v
_{H}
and v
_{o}
so you can complete your H|V chart.)
Related Documents
Lab:
Labs -
A Battering Ram
Labs -
A Photoelectric Effect Analogy
Labs -
A Physical Pendulum, The Parallel Axis Theorem and A Bit of Calculus
Labs -
Acceleration Down an Inclined Plane
Labs -
Air Track Collisions
Labs -
Ballistic Pendulum
Labs -
Ballistic Pendulum: Muzzle Velocity
Labs -
Bouncing Steel Spheres
Labs -
Coefficient of Friction
Labs -
Collision Pendulum: Muzzle Velocity
Labs -
Conservation of Energy and Vertical Circles
Labs -
Conservation of Momentum
Labs -
Conservation of Momentum in Two-Dimensions
Labs -
Cookie Sale Problem
Labs -
Density of an Unknown Fluid
Labs -
Flow Rates
Labs -
Freefall Mini-Lab: Reaction Times
Labs -
Freefall: Timing a Bouncing Ball
Labs -
Galileo Ramps
Labs -
Gravitational Field Strength
Labs -
Home to School
Labs -
Inelastic Collision - Velocity of a Softball
Labs -
InterState Map
Labs -
LAB: Ramps - Accelerated Motion
Labs -
LabPro: Newton's 2nd Law
Labs -
LabPro: Uniformly Accelerated Motion
Labs -
Loop-the-Loop
Labs -
Mass of a Paper Clip
Labs -
Mass of a Rolling Cart
Labs -
Moment of Inertia of a Bicycle Wheel
Labs -
Monkey and the Hunter Animation
Labs -
Monkey and the Hunter Screen Captures
Labs -
Projectiles Released at an Angle
Labs -
Ramps: Sliding vs Rolling
Labs -
Range of a Projectile
Labs -
Roller Coaster, Projectile Motion, and Energy
Labs -
Rotational Inertia
Labs -
Rube Goldberg Challenge
Labs -
Spring Carts
Labs -
Target Lab: Ball Bearing Rolling Down an Inclined Plane
Labs -
Terminal Velocity
Labs -
Video LAB: A Gravitron
Labs -
Video Lab: Ball Bouncing Across a Stage
Labs -
Video LAB: Ball Re-Bounding From a Wall
Labs -
Video Lab: Blowdart Colliding with Cart
Labs -
Video Lab: Cart Push #2 and #3
Labs -
Video LAB: Circular Motion
Labs -
Video Lab: Falling Coffee Filters
Labs -
Video Lab: M&M Collides with Pop Can
Labs -
Video Lab: Marble Collides with Ballistic Pendulum
Labs -
Video Lab: Two-Dimensional Projectile Motion
Resource Lesson:
RL -
A Chart of Common Moments of Inertia
RL -
A Further Look at Angular Momentum
RL -
Accelerated Motion: A Data Analysis Approach
RL -
Accelerated Motion: Velocity-Time Graphs
RL -
Analyzing SVA Graph Combinations
RL -
APC: Work Notation
RL -
Average Velocity - A Calculus Approach
RL -
Center of Mass
RL -
Centripetal Acceleration and Angular Motion
RL -
Chase Problems
RL -
Chase Problems: Projectiles
RL -
Comparing Constant Velocity Graphs of Position-Time & Velocity-Time
RL -
Conservation of Energy and Springs
RL -
Constant Velocity: Position-Time Graphs
RL -
Constant Velocity: Velocity-Time Graphs
RL -
Derivation of the Kinematics Equations for Uniformly Accelerated Motion
RL -
Derivatives: Instantaneous vs Average Velocities
RL -
Directions: Flash Cards
RL -
Discrete Masses: Center of Mass and Moment of Inertia
RL -
Energy Conservation in Simple Pendulums
RL -
Freefall: Horizontally Released Projectiles (2D-Motion)
RL -
Freefall: Projectiles in 1-Dimension
RL -
Freefall: Projectiles Released at an Angle (2D-Motion)
RL -
Gravitational Energy Wells
RL -
Hinged Board
RL -
Introduction to Angular Momentum
RL -
Mechanical Energy
RL -
Momentum and Energy
RL -
Monkey and the Hunter
RL -
Potential Energy Functions
RL -
Principal of Least Action
RL -
Rolling and Slipping
RL -
Rotary Motion
RL -
Rotational Dynamics: Pivoting Rods
RL -
Rotational Dynamics: Pulleys
RL -
Rotational Dynamics: Rolling Spheres/Cylinders
RL -
Rotational Equilibrium
RL -
Rotational Kinematics
RL -
Rotational Kinetic Energy
RL -
Springs and Blocks
RL -
Summary: Graph Shapes for Constant Velocity
RL -
Summary: Graph Shapes for Uniformly Accelerated Motion
RL -
SVA: Slopes and Area Relationships
RL -
Symmetries in Physics
RL -
Tension Cases: Four Special Situations
RL -
Thin Rods: Center of Mass
RL -
Thin Rods: Moment of Inertia
RL -
Torque: An Introduction
RL -
Vector Resultants: Average Velocity
RL -
Work
RL -
Work and Energy
Review:
REV -
Test #1: APC Review Sheet
Worksheet:
APP -
Hackensack
APP -
The Baseball Game
APP -
The Baton Twirler
APP -
The Big Mac
APP -
The Cemetary
APP -
The Golf Game
APP -
The Jogger
APP -
The Pepsi Challenge
APP -
The Pet Rock
APP -
The Pool Game
APP -
The See-Saw Scene
APP -
The Spring Phling
CP -
2D Projectiles
CP -
Center of Gravity
CP -
Conservation of Energy
CP -
Dropped From Rest
CP -
Freefall
CP -
Momentum and Energy
CP -
Momentum and Kinetic Energy
CP -
Non-Accelerated and Accelerated Motion
CP -
Power Production
CP -
Satellites: Circular and Elliptical
CP -
Torque Beams
CP -
Torque: Cams and Spools
CP -
Tossed Ball
CP -
Up and Down
CP -
Work and Energy
NT -
Average Speed
NT -
Back-and-Forth
NT -
Center of Gravity
NT -
Center of Gravity vs Torque
NT -
Cliffs
NT -
Crosswinds
NT -
Elliptical Orbits
NT -
Escape Velocity
NT -
Falling Sticks
NT -
Gravitation #2
NT -
Headwinds
NT -
Monkey Shooter
NT -
Pendulum
NT -
Projectile
NT -
Ramps
NT -
Rolling Cans
NT -
Rolling Spool
NT -
Satellite Positions
WS -
Accelerated Motion: Analyzing Velocity-Time Graphs
WS -
Accelerated Motion: Graph Shape Patterns
WS -
Accelerated Motion: Practice with Data Analysis
WS -
Advanced Properties of Freely Falling Bodies #1
WS -
Advanced Properties of Freely Falling Bodies #2
WS -
Advanced Properties of Freely Falling Bodies #3
WS -
Average Speed and Average Velocity
WS -
Average Speed Drill
WS -
Charged Projectiles in Uniform Electric Fields
WS -
Chase Problems #1
WS -
Chase Problems #2
WS -
Chase Problems: Projectiles
WS -
Combining Kinematics and Dynamics
WS -
Constant Velocity: Converting Position and Velocity Graphs
WS -
Constant Velocity: Position-Time Graphs #1
WS -
Constant Velocity: Position-Time Graphs #2
WS -
Constant Velocity: Position-Time Graphs #3
WS -
Constant Velocity: Velocity-Time Graphs #1
WS -
Constant Velocity: Velocity-Time Graphs #2
WS -
Constant Velocity: Velocity-Time Graphs #3
WS -
Converting s-t and v-t Graphs
WS -
Energy Methods: More Practice with Projectiles
WS -
Energy Methods: Projectiles
WS -
Energy/Work Vocabulary
WS -
Force vs Displacement Graphs
WS -
Freefall #1
WS -
Freefall #2
WS -
Freefall #3
WS -
Freefall #3 (Honors)
WS -
Horizontally Released Projectiles #1
WS -
Horizontally Released Projectiles #2
WS -
Introduction to Springs
WS -
Kinematics Along With Work/Energy
WS -
Kinematics Equations #1
WS -
Kinematics Equations #2
WS -
Kinematics Equations #3: A Stop Light Story
WS -
Lab Discussion: Gravitational Field Strength and the Acceleration Due to Gravity
WS -
Moment Arms
WS -
Moments of Inertia and Angular Momentum
WS -
Position-Time Graph "Story" Combinations
WS -
Potential Energy Functions
WS -
Practice: Momentum and Energy #1
WS -
Practice: Momentum and Energy #2
WS -
Practice: Uniform Circular Motion
WS -
Practice: Vertical Circular Motion
WS -
Projectiles Released at an Angle
WS -
Static Springs: The Basics
WS -
SVA Relationships #1
WS -
SVA Relationships #2
WS -
SVA Relationships #3
WS -
SVA Relationships #4
WS -
SVA Relationships #5
WS -
Torque: Rotational Equilibrium Problems
WS -
Work and Energy Practice: An Assortment of Situations
WS -
Work and Energy Practice: Forces at Angles
TB -
2A: Introduction to Motion
TB -
2B: Average Speed and Average Velocity
TB -
Antiderivatives and Kinematics Functions
TB -
Basic Torque Problems
TB -
Center of Mass (Discrete Collections)
TB -
Honors: Average Speed/Velocity
TB -
Kinematics Derivatives
TB -
Moment of Inertia (Discrete Collections)
TB -
Projectile Summary
TB -
Projectile Summary
TB -
Projectiles Mixed (Vertical and Horizontal Release)
TB -
Projectiles Released at an Angle
TB -
Rotational Kinematics
TB -
Rotational Kinematics #2
TB -
Set 3A: Projectiles
TB -
Work, Power, Kinetic Energy
PhysicsLAB
Copyright © 1997-2017
Catharine H. Colwell
All rights reserved.
Application Programmer
Mark Acton