Question
Download Solution PDF0.2 मीटर त्रिज्या वाली एक वृत्ताकार प्लेट के ध्रुवीय अक्ष के परितः परिभ्रमण त्रिज्या है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसिद्धांत:
ध्रुवीय अक्ष के परितः परिभ्रमण त्रिज्या निम्न द्वारा दी जाती है:
\( k = \sqrt{\frac{J}{A}} \)
एक वृत्ताकार प्लेट के लिए:
- ध्रुवीय जड़त्व आघूर्ण, \( J = \frac{\pi R^4}{2} \)
- क्षेत्रफल, \( A = \pi R^2 \)
गणना:
\( k = \sqrt{\frac{\pi R^4 / 2}{\pi R^2}} = \sqrt{\frac{R^2}{2}} = \frac{R}{\sqrt{2}} \)
\( k = \frac{0.2}{\sqrt{2}} \approx 0.141~\text{मीटर} \approx 0.14~\text{मीटर} \)
Last updated on Jun 7, 2025
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