Question
Download Solution PDFएक पंप (400 W रेटेड) की दक्षता ज्ञात कीजिए जो 10 मिनट में 500 kg पानी को 30 m तक उठा सकता है।(g = 10m/s2 का उपयोग करने पर)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
पंप:
- एक पंप एक यांत्रिक उपकरण है जिसका उपयोग किसी तरल पदार्थ (तरल या गैस) को पाइपलाइन या नली के अंदर आगे बढ़ने के लिए प्रणोदित करने में किया जाता है।
- उनका उपयोग सक्शन (आंशिक निर्वात) के निर्माण द्वारा दबाव उत्पन्न करने के लिए भी किया जाता है, जिससे द्रव अधिक ऊंचाई तक बढ़ जाता है।
पंप की दक्षता,, \(\eta =\frac{Useful ~power}{Power~rating}\)
गणना:
दिया गया:
पावर रेटिंग = 400 W, उठाए गए पानी का द्रव्यमान = 500 kg, H = 30 m, समय = 10 मिनट = 60 × 10 = 600 सेकंड, g = 10 m/s2
बल, F= m × g = 500 × 10 = 5000 N
कार्य = बल × विस्थापन (H) = 5000 × 30 = 150 KJ
\(Power=\frac{Work}{Time}\)
\(Power=\frac{150}{600}=0.25 ~kW=250~W\)
⇒ उपयोगी कार्य = 250 W
\(\eta=\frac{Useful ~power}{Power~rating}\)
\(\eta=\frac{250}{400}=0.625\)
⇒ η = 62.5%
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