Question
Download Solution PDFएखादी वस्तू वर्तुळात एकसमान टोकदार गतीने फिरत आहे. जर वर्तुळाची त्रिज्या दुप्पट असेल, तर त्याचा केंद्राभिमुख प्रवेग ________ होईल.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
- वर्तुळाकार गती: वर्तुळाकार गती म्हणजे वर्तुळाच्या परिघाच्या बाजूने एखाद्या वस्तूची हालचाल किंवा वर्तुळाकार मार्गावर फिरणे.
- बल कणाच्या वेगापर्यंत काटकोनात सतत कार्य करते.
- एकसमान वर्तुळाकार गती : ज्या वर्तुळाकार गतीमध्ये कणाची गती स्थिर राहते तिला एकसमान वर्तुळाकार गती म्हणतात.
- एकसमान वर्तुळाकार गतीमध्ये, बल केंद्राभिमुख प्रवेग पुरवते.
ac = v2/r = ω2 r
जेथे ac केंद्राभिमुख प्रवेग आहे, v हा वेग आहे, r त्रिज्या आहे आणि ω कोनीय वेग आहे.
- कणाची गती आणि गतीज ऊर्जा स्थिर राहते.
- एकसमान नसलेली वर्तुळाकार गती: ज्या वर्तुळाकार गतीमध्ये कणांचा वेग वेळेनुसार बदलतो त्याला एकसमान नसलेली वर्तुळाकार गती म्हणतात.
स्पष्टीकरण:
दिलेल्याप्रमाणे:
वर्तुळाकार मार्गाची त्रिज्या दुप्पट आहे:
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