Vernier Software and Technology
Vernier Software & Technology

Solidity

Figure from experiment 11 from Renewable Energy with Vernier

Introduction

Consider the wind turbines in Figures 1 and 2. What differences do you observe? These two examples are designed for two different purposes. The windmill in Figure 1 is designed to pump water; the turbine in Figure 2 is designed to generate electricity. In addition to variations in the tower design and number of blades, notice that the total surface area of the blades in each turbine is very different.

Figures 1 and 2 showing different wind turbines for pumping water and generaating electricity.
Figures 1 and 2 showing different wind turbines for pumping water and generaating electricity.

Solidity, the ratio of the total surface area for all blades to the total swept area, is calculated using the equation

\text{solidity} = na/A

where n is the number of blades, a is the area of a single blade, and A is the swept area of the turbine.

Turbines with a high solidity (e.g., greater than 0.80), rotate at a low speed, while turbines with a low solidity (e.g., 0.10), rotate at a higher speed.

Blade pitch dramatically affects the torque, speed, and the amount of drag experienced by the blades of the rotor. It also affects the solidity of the turbine. Blades with a shallow pitch (10–30°) have less drag, and provide greater solidity by presenting more of their surface to the wind. However, they can’t provide as much torque (turning force) to the generator. A greater pitch (30–60°) has less solidity and more drag, but can provide more torque to the generator.

In this experiment, you will calculate the planform area, the area the blade projects onto the plane of rotation, using the area of the blade and its pitch. You will use the total planform area (for all blades) to calculate the solidity of the wind turbine. You will then investigate how the turbine solidity affects electrical power output.

Objectives

  • Measure the total blade planform area.
  • Calculate the total area swept by a wind turbine blade.
  • Calculate solidity of a wind turbine.
  • Investigate the relationship between power output and solidity.

Sensors and Equipment

This experiment features the following Vernier sensors and equipment.

Option 1

Option 2

Additional Requirements

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

Renewable Energy with Vernier

See other experiments from the lab book.

1Renewable Energy: Why is it So Important?
2What is Energy?
3Project: Energy Audit
4Voltage and Circuits
5Current and Resistors
6Mechanical Power
7Generators
8Exploring Wind Turbines
9Effect of Load on Wind Turbine Output
10Blade Variables and Power Output
11Solidity
12Turbine Efficiency
13Power Curves
14Power and Energy
15Project: Maximum Energy Output
16Project: Build a Wind Farm
17Exploring Solar Panels
18AEffect of Load on Solar Panel Output
18BFill Factor and IV Curve of a Solar Panel
19Variables Affecting Solar Panel Output
20Effect of Temperature on Solar Panel Output
21Project: Build a Solar Charger
22Exploring Passive Solar Heating
23Variables Affecting Passive Solar Heating
24Exploring Solar Collectors
25Variables Affecting Solar Collectors
26Project: Solar Cooker

Experiment 11 from Renewable Energy with Vernier Lab Book

<i>Renewable Energy with Vernier</i> book cover

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