750 mm त्रिज्या के एक दृढ़ फ्लाईव्हील का एक पॉइंट 3 m/s2 के समान रैखिक त्वरण से गुज़रता है। फ्लाईव्हील का कोणीय त्वरण _______ है।

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ISRO VSSC Technical Assistant Mechanical 14 July 2021 Official Paper
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  1. 0.25 rad/s2
  2. 2.5 rad/s2
  3. 4 rad/s2
  4. 250 rad/s2

Answer (Detailed Solution Below)

Option 3 : 4 rad/s2
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अवधारणा:

रैखिक त्वरण (a) और कोणीय त्वरण (अल्फा) के बीच संबंध समीकरण निम्न द्वारा दिया गया है:

a = α  * r

जहाँ:

a रैखिक त्वरण है,

α कोणीय त्वरण है, और

r त्रिज्या है

हम अल्फ़ा को हल करने के लिए समीकरण को पुनर्व्यवस्थित कर सकते हैं:

α   = a / r

गणना:

दिया गया है

इस स्थिति में, a = 3 m/s², और r = 750 mm = 0.75 m (चूँकि 1 m = 1000 mm)

α   = 3 m/s² / 0.75 m = 4 rad/s²

तो, सही उत्तर विकल्प 3 है।

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