लेथ में 40 mm व्यास जॉब के समापन वर्तन में, जब तर्कु 300 rpm पर कार्यरत है, तो स्पर्शीय कर्तन बल 50 N है। अपेक्षित शक्ति ________ है।

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ISRO VSSC Technical Assistant Mechanical 14 July 2021 Official Paper
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  1. 10π W
  2. 20π W
  3. 6 W
  4. 63 W

Answer (Detailed Solution Below)

Option 1 : 10π W
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अवधारणा:

वर्तन संचालन के लिए लेथ में अपेक्षित शक्ति (P) निम्न द्वारा दी जाती है:

\(\rm{P}=F_t\times V\) (Ft = स्पर्शरेखा कर्तन बल)

और कर्तन चाल (V) कर्तन उपकरण से पहले वर्कपीस की परिधीय चाल है।

\(V = \frac{{\pi DN}}{{1000}}\;m/min\)

V = कर्तन/परिधीय चाल (m/min)

D = जॉब का व्यास (mm)

N = जॉब या तर्कु चाल (rpm)

गणना:

दिया गया है:

Ft = 50 N, N = 300 rpm और व्यास = D = 40 mm =0.04 m

\(V = \frac{{\pi DN}}{{1000}} = \frac{{\pi \times 0.04\times300}}{{60}} =0.2 ~\pi\;rpm\)

\(\rm{P}=F_t\times V=50\times0.2\pi=10\pi ~watts\)

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