Vernier Software & Technology

# Error Analysis

## Introduction

In Experiment 1, Motion on an Incline, you may have noticed that the slope of the v-t graph, which we call acceleration, increased as the height of the ramp increased. It seems reasonable that the maximum value of the acceleration could be obtained when the ramp was in a vertical position. In this experiment, you will use different apparatus to determine the acceleration of a freely falling object. Once you have done this, you will address the following questions:

• How do I decide if the value I obtained is “close enough” to the accepted value?
• If I were to repeat the experiment several times, within what range would I expect my values to fall?

This experiment affords you the opportunity to understand variations in experimentally determined data.

## Objectives

In this experiment, you will

• Determine the value of the acceleration of a freely falling object.
• Compare your value with the accepted value for this quantity.
• Learn how to describe and account for variation in a set of measurements.
• Learn how to describe a range of experimental values.

## 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 2 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.