10 मीटर/सेकंड की गति से बहने वाली अबाधित हवा से 10 मीटर व्यास वाले टरबाइन रोटर पर उपलब्ध शक्ति 500 kW है। 20 मीटर/सेकंड की हवा की गति के लिए शक्ति क्या होगी?

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MPPGCL JE Electrical 28 April 2023 Shift 3 Official Paper
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  1. 8000 kW
  2. 2000 kW
  3. 1000 kW
  4. 4000 kW

Answer (Detailed Solution Below)

Option 4 : 4000 kW
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सिद्धांत

हवा में उपलब्ध शक्ति सूत्र द्वारा दी जाती है:

P α v3

आनुपातिकता का उपयोग करते हुए:

\(({P_1\over P_2})=({v_1\over v_2})^3\)

गणना

दिया गया है, v1 = 10 मीटर/सेकंड पर P1 = 500 kW

v2 = 20 मीटर/सेकंड पर शक्ति P2 की गणना इस प्रकार की जाती है:

\(({500\over P_2})=({10\over 20})^3\)

P2 = 500 x 8

P2 = 4000 kW

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