Question
Download Solution PDFपवन ऊर्जा समीकरण P = 1/2ρAv3 को ध्यान में रखते हुए, यदि पवन की गति दोगुनी हो जाती है, तो उपलब्ध शक्ति में क्या परिवर्तन होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
पवन में उपलब्ध शक्ति निम्नलिखित समीकरण द्वारा दी जाती है:
\( P = \frac{1}{2} ρ A V^3 \)
जहाँ:
- P = शक्ति (वाट)
- ρ = वायु घनत्व (kg/m³)
- A = टरबाइन ब्लेड का व्याप्त क्षेत्रफल (m²)
- V = पवन गति (m/s)
परिकलन:
यदि पवन गति दोगुनी हो जाती है, अर्थात्, V' = 2V, तो समीकरण में प्रतिस्थापित करने पर:
\( P' = \frac{1}{2} ρ A (2V)^3 \)
\( P' = \frac{1}{2} ρ A \cdot 8V^3 \)
\( P' = 8 \times \left( \frac{1}{2} ρ A V^3 \right) \)
\( P' = 8P \)
Last updated on Jul 9, 2025
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