 Vernier Software & Technology

# Rotational Dynamics

## Introduction

When you studied Newtonian dynamics you learned that when an object underwent some form of translational motion (whether in a straight line, parabolic, or circular path), the net force applied to the object is proportional to the acceleration. The constant of proportionality is the mass of the accelerating object. When a torque (the rotational analogue to force), is applied to an object that is free to rotate, the object will undergo rotational acceleration. In this experiment, you will investigate the relationship between torque and angular acceleration.

## Objectives

In this experiment, you will

• Collect angular acceleration data for objects subjected to a torque.
• Determine an expression for the torque applied to a rotating system.
• Determine the relationship between torque and angular acceleration.
• Relate the slope of a linearized graph to system parameters.
• Make and test predictions of the effect of changes in system parameters on the constant of proportionality.

## Sensors and Equipment

This experiment features the following Vernier sensors and equipment.

You may also need an interface and software for data collection. What do I need for data collection?

## Advanced Physics with Vernier — Mechanics

See other experiments from the lab book.

 1 Motion on an Incline 2 Error Analysis 3 Newton's First Law 4 Newton's Second Law 5 Newton's Third Law 6 Projectile Motion 7 Energy Storage and Transfer: Elastic Energy 8 Energy Storage and Transfer: Kinetic Energy 9 Energy Storage and Transfer: Gravitational Energy 10A Impulse and Momentum (Motion Detector) 10B Impulse and Momentum (Photogate) 11A Momentum and Collisions (Motion Detectors) 11B Momentum and Collisions (Photogates) 12A Centripetal Acceleration 12B Centripetal Acceleration 13 Rotational Dynamics 14 Conservation of Angular Momentum 15 Simple Harmonic Motion: Mathematical Model 16 Simple Harmonic Motion: Kinematics and Dynamics 17 Pendulum Periods 18 Physical Pendulum 19 Center of Mass

### Experiment 13 from Advanced Physics with Vernier — Mechanics Lab Book #### Included in the Lab Book

Vernier lab books include word-processing files of the student instructions, essential teacher information, suggested answers, sample data and graphs, and more.