High School

We appreciate your visit to The highest wind speed on the East Coast is about 12 m s and on the West Coast is about 9 5 m s If. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

The highest wind speed on the East Coast is about 12 m/s, and on the West Coast is about 9.5 m/s. If the blade diameter of a wind turbine is 50 m, how much more wind power is available on the East Coast as a percentage of the wind power available on the West Coast?

Calculate the power available from a wind turbine with a 12 ft diameter and a wind speed of 9 mph. (Air density is 1.2 kg/m³).

1. What is the power if the wind speed is doubled?
2. How does this power change if the diameter is doubled instead of the wind speed?
3. If the Cp is 0.47, what is the power produced?

Answer :

Final answer:

To compare wind power between the East and West Coasts, the power formula, which is a function of the cube of the wind speed and the swept area of turbine blades, is used. A smaller wind turbine's power output is calculated at 9 mph and the effects of doubling wind speed and diameter on power output are also determined. The coefficient of performance is applied to find the power generated.

Explanation:

To calculate the additional wind power available on the East Coast as compared to the West Coast, we use the power formula for wind energy, which depends on the cube of the wind speed. The power in wind is given by the equation P = 1/2 ρ A v^3, where ρ is the air density, A is the swept area of the turbine blades, and v is the wind speed. Given the blade diameter is 50 m, we can calculate the swept area using A = π (d/2)^2. The power available on each coast can then be compared to find the percentage increase.

A wind turbine with a diameter of 12 ft has a proportional power output relative to its swept area and the cube of the wind speed. Converting units and using the power output formula, we find the power available at 9 mph. Doubling the wind speed increases the power by a factor of eight, while doubling the diameter increases the power by a factor of four. Using the coefficient of performance (Cp) of 0.47 gives us the actual power produced by the turbine.

Thanks for taking the time to read The highest wind speed on the East Coast is about 12 m s and on the West Coast is about 9 5 m s If. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada