Lab
Moment of Inertia of a Bicycle Wheel
Printer Friendly Version
Purpose
The purpose of this lab is to have students investigate the rotational inertia of a suspended bicycle wheel. The use of a motion detector and data analysis techniques will show the relationship between the variables for the falling mass and its acceleration.
Laboratory set-up
Each group of three students will need the following equipment:
1 suspended bicycle wheel with a string securely wrapped along its circumference
1 50-gram mass hanger
1 set of slotted masses
1 LabPro
1 motion detector
First verify that the string attached to your bicycle wheel is securely attached and has a loop at the end to hold the mass hanger. Next, unroll about one meter of string, place the mass hanger on the end of the string and then hold the rim of the wheel stationary so that you can position the motion detector on the floor as shown in the diagram below.
diagram courtesy of Daniel Weaver (c/o 2008)
When you think everything is aligned, one student should start LoggerPro 3.1. With the motion detector properly connected, the program should display graphs of position versus time and velocity versus time. When you are ready to obtain data, hit the
Collect
button on the top right-hand side of the program window and run a few test trials to make sure that the detector can "see" the bottom of the hanger as the wheel rotates and the hanger descends.
You will be watching for the classic parabolic position-time graph signifying that the hanger is accelerating in a negative direction as the string unwraps and it descends towards the ground. Once this graph has formed, stop collecting data.
To analyze your velocity-time graph highlight a central section of your parabola, click on the velocity-time graph, and the linear fit,
R=
, button in the top toolbar.
The acceleration for that trial will be displayed as the slope of your velocity-time graph. In this case it was -0.1105 m/s/s. Repeat each trial two times, taking the average as your final value for each mass.
Data Collection
mass
(grams)
trial 1
(m/sec
^{2}
)
trial 2
(m/sec
^{2}
)
average
(m/sec
^{2}
)
50
60
70
80
90
100
Data Analysis and Conclusions
We will now use EXCEL to graph
1/a vs 1/m
and data analysis techniques to determine the bicycle wheel's Moment of inertia. Open the file 1-bicycle.xls on the file system and input your data.
What is the equation of your line?
If the radius of the wheel is 0.28 meters, use the slope of your line to determine its moment of inertia.
If the mass of the wheel is 1.75 kg, what is the wheel's radius of gyration, k?
If the length of string was 1.5 meters and the hanger was released from a position of rest, use the data from your final trial to answer the following questions.
What was the average acceleration for your last trial?
Determine how fast the mass hanger was traveling at the end just as the mass hanger stopped falling and was jerked upwards.
Determine how fast the wheel was rotating just as mass hanger stopped falling and was jerked upwards.
What was the wheel's angular momentum just before the mass hanger stopped falling and was jerked upwards?
What was the total KE in the system (the wheel's rotational KE plus the mass hanger's linear KE) just before the mass hanger stopped falling and was jerked upwards?
What was the total PE in the system prior to the mass hanger's release?
Was energy conserved during this final trial? Why or why not?
Related Documents
Lab:
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 -
Ballistic Pendulum: Muzzle Velocity
Labs -
Calculation of "g" Using Two Types of Pendulums
Labs -
Coefficient of Friction
Labs -
Coefficient of Friction
Labs -
Coefficient of Kinetic Friction (pulley, incline, block)
Labs -
Collision Pendulum: Muzzle Velocity
Labs -
Conical Pendulums
Labs -
Conical Pendulums
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 -
Falling Coffee Filters
Labs -
Flow Rates
Labs -
Force Table - Force Vectors in Equilibrium
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 -
Inertial Mass
Labs -
InterState Map
Labs -
Introductory Simple Pendulums
Labs -
Kepler's 1st and 2nd Laws
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 -
Monkey and the Hunter Animation
Labs -
Monkey and the Hunter Screen Captures
Labs -
Oscillating Springs
Labs -
Projectiles Released at an Angle
Labs -
Ramps: Sliding vs Rolling
Labs -
Range of a Projectile
Labs -
Relationship Between Tension in a String and Wave Speed
Labs -
Relationship Between Tension in a String and Wave Speed Along the String
Labs -
Roller Coaster, Projectile Motion, and Energy
Labs -
Rotational Inertia
Labs -
Rube Goldberg Challenge
Labs -
Sand Springs
Labs -
Simple Pendulums: Class Data
Labs -
Simple Pendulums: LabPro Data
Labs -
Static Equilibrium Lab
Labs -
Static Springs: Hooke's Law
Labs -
Static Springs: Hooke's Law
Labs -
Static Springs: LabPro Data for Hooke's Law
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: Cart Push #2 and #3
Labs -
Video LAB: Circular Motion
Labs -
Video Lab: Falling Coffee Filters
Labs -
Video LAB: Looping Rollercoaster
Labs -
Video Lab: Two-Dimensional Projectile Motion
Labs -
Water Springs
Resource Lesson:
RL -
A Chart of Common Moments of Inertia
RL -
A Derivation of the Formulas for Centripetal Acceleration
RL -
A Further Look at Angular Momentum
RL -
Accelerated Motion: A Data Analysis Approach
RL -
Accelerated Motion: Velocity-Time Graphs
RL -
Advanced Gravitational Forces
RL -
Air Resistance
RL -
Air Resistance: Terminal Velocity
RL -
Analyzing SVA Graph Combinations
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 Bohr's Model for the Hydrogen Spectrum
RL -
Derivation of the Kinematics Equations for Uniformly Accelerated Motion
RL -
Derivation: Period of a Simple Pendulum
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 -
Forces Acting at an Angle
RL -
Freebody Diagrams
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 -
Inclined Planes
RL -
Inertial vs Gravitational Mass
RL -
Introduction to Angular Momentum
RL -
Kepler's Laws
RL -
LC Circuit
RL -
Magnetic Forces on Particles (Part II)
RL -
Monkey and the Hunter
RL -
Newton's Laws of Motion
RL -
Non-constant Resistance Forces
RL -
Period of a Pendulum
RL -
Properties of Friction
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 -
SHM Equations
RL -
Simple Harmonic Motion
RL -
Springs and Blocks
RL -
Springs: Hooke's Law
RL -
Static Equilibrium
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 -
Systems of Bodies
RL -
Tension Cases: Four Special Situations
RL -
The Law of Universal Gravitation
RL -
Thin Rods: Center of Mass
RL -
Thin Rods: Moment of Inertia
RL -
Torque: An Introduction
RL -
Uniform Circular Motion: Centripetal Forces
RL -
Universal Gravitation and Satellites
RL -
Universal Gravitation and Weight
RL -
Vector Resultants: Average Velocity
RL -
Vertical Circles and Non-Uniform Circular Motion
RL -
What is Mass?
RL -
Work and Energy
Review:
REV -
Review: Circular Motion and Universal Gravitation
REV -
Test #1: APC Review Sheet
Worksheet:
APP -
Big Al
APP -
Big Fist
APP -
Family Reunion
APP -
Hackensack
APP -
Ring Around the Collar
APP -
The Antelope
APP -
The Baseball Game
APP -
The Baton Twirler
APP -
The Big Mac
APP -
The Box Seat
APP -
The Cemetary
APP -
The Golf Game
APP -
The Jogger
APP -
The Satellite
APP -
The See-Saw Scene
APP -
The Spring Phling
APP -
Timex
CP -
2D Projectiles
CP -
Action-Reaction #1
CP -
Action-Reaction #2
CP -
Center of Gravity
CP -
Centripetal Acceleration
CP -
Centripetal Force
CP -
Dropped From Rest
CP -
Equilibrium on an Inclined Plane
CP -
Falling and Air Resistance
CP -
Force and Acceleration
CP -
Force and Weight
CP -
Force Vectors and the Parallelogram Rule
CP -
Freebody Diagrams
CP -
Freefall
CP -
Gravitational Interactions
CP -
Incline Places: Force Vector Resultants
CP -
Incline Planes - Force Vector Components
CP -
Inertia
CP -
Mobiles: Rotational Equilibrium
CP -
Net Force
CP -
Newton's Law of Motion: Friction
CP -
Non-Accelerated and Accelerated Motion
CP -
Satellites: Circular and Elliptical
CP -
Static Equilibrium
CP -
Tensions and Equilibrium
CP -
Torque Beams
CP -
Torque: Cams and Spools
CP -
Tossed Ball
CP -
Up and Down
NT -
Acceleration
NT -
Air Resistance #1
NT -
An Apple on a Table
NT -
Apex #1
NT -
Apex #2
NT -
Average Speed
NT -
Back-and-Forth
NT -
Center of Gravity
NT -
Center of Gravity vs Torque
NT -
Circular Orbits
NT -
Crosswinds
NT -
Falling Rock
NT -
Falling Spheres
NT -
Falling Sticks
NT -
Friction
NT -
Frictionless Pulley
NT -
Gravitation #1
NT -
Head-on Collisions #1
NT -
Head-on Collisions #2
NT -
Headwinds
NT -
Ice Boat
NT -
Monkey Shooter
NT -
Pendulum
NT -
Projectile
NT -
Rolling Cans
NT -
Rolling Spool
NT -
Rotating Disk
NT -
Sailboats #1
NT -
Sailboats #2
NT -
Scale Reading
NT -
Settling
NT -
Skidding Distances
NT -
Spiral Tube
NT -
Tensile Strength
NT -
Terminal Velocity
NT -
Tug of War #1
NT -
Tug of War #2
NT -
Two-block Systems
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 -
Basic Practice with Springs
WS -
Calculating Force Components
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 -
Distinguishing 2nd and 3rd Law Forces
WS -
Energy Methods: More Practice with Projectiles
WS -
Energy Methods: Projectiles
WS -
Force vs Displacement Graphs
WS -
Freebody Diagrams #1
WS -
Freebody Diagrams #2
WS -
Freebody Diagrams #3
WS -
Freebody Diagrams #4
WS -
Freefall #1
WS -
Freefall #2
WS -
Freefall #3
WS -
Freefall #3 (Honors)
WS -
Horizontally Released Projectiles #1
WS -
Horizontally Released Projectiles #2
WS -
Inertial Mass Lab Review Questions
WS -
Introduction to Springs
WS -
Kepler's Laws: Worksheet #1
WS -
Kepler's Laws: Worksheet #2
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 -
Lab Discussion: Inertial and Gravitational Mass
WS -
Moment Arms
WS -
Moments of Inertia and Angular Momentum
WS -
More Practice with SHM Equations
WS -
net F = ma
WS -
Pendulum Lab Review
WS -
Pendulum Lab Review
WS -
Position-Time Graph "Story" Combinations
WS -
Practice: SHM Equations
WS -
Practice: Uniform Circular Motion
WS -
Practice: Vertical Circular Motion
WS -
Projectiles Released at an Angle
WS -
Ropes and Pulleys in Static Equilibrium
WS -
Rotational Kinetic Energy
WS -
SHM Properties
WS -
Standard Model: Particles and Forces
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 -
Universal Gravitation and Satellites
WS -
Vertical Circular Motion #1
WS -
Vocabulary for Newton's Laws
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 -
Centripetal Acceleration
TB -
Centripetal Force
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 -
Systems of Bodies (including pulleys)
TB -
Work, Power, Kinetic Energy
PhysicsLAB
Copyright © 1997-2022
Catharine H. Colwell
All rights reserved.
Application Programmer
Mark Acton