QuestionAugust 15, 2025

Electrical power generated by a particular wind turbine is given by w=(7L^2s^3)/(32) where W is power in watts, Lis the length of a turbine blade in feet, and S is the speed of the wind in miles per hour. How many watts are generated by a wind turbine with a blade length of 20 feet if the wind has a speed of 4 miles per hour? The power generated by the wind turbine is square square

Electrical power generated by a particular wind turbine is given by w=(7L^2s^3)/(32) where W is power in watts, Lis the length of a turbine blade in feet, and S is the speed of the wind in miles per hour. How many watts are generated by a wind turbine with a blade length of 20 feet if the wind has a speed of 4 miles per hour? The power generated by the wind turbine is square square
Electrical power generated by a particular wind turbine is given by w=(7L^2s^3)/(32) where W is power in watts, Lis the length of a turbine blade in feet, and S is the speed of the wind in miles per hour. How many watts are generated by a wind turbine with a blade length of 20 feet if the wind has a speed of 4 miles per hour? The power generated by the wind turbine is square square

Solution
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Answer

5600 watts Explanation 1. Substitute given values into the formula Use L = 20 and S = 4 in the formula w = \frac{7L^{2}s^{3}}{32}. 2. Calculate L^2 L^2 = 20^2 = 400. 3. Calculate S^3 S^3 = 4^3 = 64. 4. Compute power w Substitute L^2 = 400 and S^3 = 64 into the formula: w = \frac{7 \times 400 \times 64}{32}. 5. Simplify the expression w = \frac{7 \times 25600}{32} = \frac{179200}{32} = 5600 watts.

Explanation

1. Substitute given values into the formula<br /> Use $L = 20$ and $S = 4$ in the formula $w = \frac{7L^{2}s^{3}}{32}$.<br /><br />2. Calculate $L^2$<br /> $L^2 = 20^2 = 400$.<br /><br />3. Calculate $S^3$<br /> $S^3 = 4^3 = 64$.<br /><br />4. Compute power $w$<br /> Substitute $L^2 = 400$ and $S^3 = 64$ into the formula: <br /> $w = \frac{7 \times 400 \times 64}{32}$.<br /><br />5. Simplify the expression<br /> $w = \frac{7 \times 25600}{32} = \frac{179200}{32} = 5600$ watts.
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