📖 Chapter 4 of 11 · Green Energy - Advance 1 · Class 8
Chapter 4: Why Does a Wind Farm Care So Much About Wind Speed?
In this chapter
- How much power the wind really carries.
- The surprising “cube rule” of wind speed.
- Choosing sites, measuring wind, and the move offshore.
- Meet Devraj from Rajasthan and Nila from Tamil Nadu.
The Big Idea
The power in the wind depends on the area the blades sweep and on the cube of the wind speed. If the wind speed doubles, the power available goes up eight times (2 × 2 × 2). That is why engineers spend a year or more measuring wind before building a single turbine, and why turbines keep getting taller with longer blades.
Did You Know?
Gujarat and Tamil Nadu have the most wind power capacity in India. India is also preparing its first offshore wind farms in the sea off these two states, where winds are stronger and steadier than on land.
Story Time — Devraj and the Spinning Cups
Devraj, age 13 · Jaisalmer, Rajasthan
Near Devraj’s village outside Jaisalmer, a team put up a thin metal tower, taller than a ten-storey building. At the top were three little cups that spun in the wind. Devraj rode his bicycle over to find out what it was.
An engineer named Ms. Fernandes waved him closer. “This is a met mast, and those cups are an anemometer. It measures wind speed every few seconds, day and night, for at least a year.”
“A whole year, just to check the wind?” Devraj asked. “Yes,” she said. “Because wind speed matters more than you think. If the average wind here is 7 metres per second instead of 6, a turbine can make about 60% more energy.”
Devraj frowned. “But 7 is only a little more than 6.” Ms. Fernandes wrote on her notepad: 6 × 6 × 6 = 216 and 7 × 7 × 7 = 343. “Wind power goes with the cube of speed. 343 is about 1.6 times 216.”
She also showed him a vane that recorded wind direction. “We need to know where the wind comes from, so we can space the turbines. A turbine standing in another turbine’s wake gets weaker, choppier wind.” Devraj rode home thinking that the desert wind, which he had always found annoying, might be one of Rajasthan’s treasures.
Story Time — Nila Looks Out to Sea
Nila, age 12 · Thoothukudi, Tamil Nadu
Nila’s father is a fisherman in Thoothukudi. One evening, a visiting scientist spoke at the village hall about plans for offshore wind — wind turbines standing in the sea, many kilometres from the coast.
“Why go into the sea when we have so much land?” an elder asked. The scientist explained, “Over open water there are no hills, trees or buildings to slow the wind, so it blows stronger and steadier. Offshore turbines can also be much bigger, because huge blades are easier to carry by ship than by road.”
Nila’s father raised his hand. “What about our fishing grounds and the fish?” The scientist nodded. “That is an important question. Before building, studies must check the sea bed, the fish, the birds and the routes that fishing boats use. Fisher communities must be consulted.”
“And how will the power reach land?” asked Nila. “Through thick cables laid on the sea bed,” said the scientist. “Offshore wind costs more to build and repair, because everything must survive salt water and storms.”
Walking home along the beach, Nila looked at the dark horizon and imagined a line of turbines blinking with red lights. “I hope they build them the right way,” she told her father, “so that the sea gives us both fish and power.”
The Cube Rule
The power carried by the wind is: P = ½ × air density × swept area × speed³. You do not need to memorise the formula. Just remember two ideas: bigger blades catch more wind (area), and faster wind carries far more power (speed cubed).
- No turbine can capture all the wind’s power; the theoretical best is about 59% (called Betz’s limit).
- Turbines start turning at a cut-in speed of about 3 m/s and reach full power at around 11–13 m/s.
- In storms (about 25 m/s), they cut out: the blades are turned edge-on and the rotor is braked for safety.
Parts of a Modern Wind Turbine
A large modern turbine may stand over 100 metres tall with blades longer than a cricket pitch is wide. Sensors on the nacelle watch the wind, and motors turn the whole top (yaw) to face it, and twist each blade (pitch) to control speed.
🔢 Numbers Corner
Cube rule: new power ÷ old power = (new speed ÷ old speed)³. From 5 m/s to 10 m/s: (10 ÷ 5)³ = 2³ = 8 times the power.
Myth or Fact?
Myth: A turbine that is not spinning is broken.
Fact: Often it has simply stopped on purpose: the wind is below cut-in speed, above cut-out speed in a storm, or the turbine is under planned maintenance.
🔬 Try it in the Green Energy Lab
Experiment with these ideas in Lab 2: Wind Speed and the Cube Rule.
Solved Examples
Work it out first, then check the answer.
1. If wind speed rises from 4 m/s to 8 m/s, how many times more power is available?
Show answer
Answer: (8 ÷ 4)³ = 2³ = 8 times.
2. Wind speed rises from 6 m/s to 9 m/s. By what factor does the power grow?
Show answer
Answer: (9 ÷ 6)³ = 1.5³ = 3.375 times.
3. Why do engineers measure wind for a year before building a wind farm?
Show answer
Answer: Because small differences in average speed make large differences in energy (the cube rule), and wind changes with the seasons.
4. Why are offshore winds usually better than onshore winds?
Show answer
Answer: Over the sea there are no hills, trees or buildings to slow or disturb the wind, so it is stronger and steadier.
5. Why does a turbine stop in very strong winds?
Show answer
Answer: To protect itself. Above the cut-out speed, forces on the blades become dangerous, so the blades are turned edge-on and the rotor is braked.
Check Your Understanding
A. Fill in the blanks
- Wind power depends on the of wind speed.
- A wind-speed measuring instrument with spinning cups is an .
- The best any turbine can capture is about % of the wind’s power.
- Wind farms built in the sea are called wind farms.
- Turning the turbine top to face the wind is called .
B. True or False
- Doubling wind speed doubles the power. ( ___ )
- Turbines stop in storms for safety. ( ___ )
- Longer blades sweep a bigger area and catch more wind. ( ___ )
- Offshore wind farms are cheaper to repair than onshore ones. ( ___ )
C. Choose the correct option
- Cut-in speed for most turbines is about (a) 3 m/s (b) 12 m/s (c) 25 m/s
- The top housing that holds the generator is the (a) hub (b) nacelle (c) pitch
- Which two states lead India in wind power? (a) Gujarat and Tamil Nadu (b) Bihar and Assam (c) Delhi and Goa
D. Answer in detail
- Explain the cube rule using Devraj’s example of 6 m/s and 7 m/s.
- List two benefits and two challenges of offshore wind.
- Why must turbines in a wind farm be spaced apart?
Brain Buster
Make a simple anemometer with four paper cups and a pencil. Count the turns in 30 seconds on a calm day and a windy day. How different are they?
Check your understanding
Tap an answer to see if it is correct. This is just for practice — nothing is saved.
1. Wind speed doubles. Power available becomes…
- 2 times
- 4 times
- 8 times
Show answer
C. 8 times
2. What is an anemometer used for?
- Measuring wind speed
- Measuring sunlight
- Measuring rainfall
Show answer
A. Measuring wind speed
3. Why do turbines cut out in storms?
- To save electricity
- To protect the machine
- Because it is dark
Show answer
B. To protect the machine
4. What is Betz’s limit?
- The tallest possible tower
- The maximum share of wind power a turbine can capture (~59%)
- The slowest wind speed
Show answer
B. The maximum share of wind power a turbine can capture (~59%)
5. A key question about offshore wind in Nila’s village was…
- Effects on fishing and sea life
- The colour of the blades
- The price of fish in Delhi
Show answer
A. Effects on fishing and sea life