In belt drive design and power transmission theory:
At the condition of maximum power transmission, the centrifugal tension (
\(T_c\)) equals one-third of the maximum permissible tension (\(T_{\max}\)): \[ T_c = m v^2 = \frac{1}{3} T_{\max} \implies T_{\max} = 3 T_c = 3 m v^2 \]
Cylinder/pulley radius
\(r = \frac{140\text{ mm}}{2} = 70\text{ mm} = 0.07\text{ m}\). Belt velocity \(v\): \[ v = \frac{\pi D N}{60} = \frac{\pi \times 0.14 \times 600}{60} = 1.4 \pi \approx 4.398\text{ m/s} \]
Centrifugal tension:
\[ T_c = m v^2 = 1.0\text{ kg/m} \times (4.398)^2 \approx 19.34\text{ N} \]
Maximum tension at maximum power condition:
\[ T_{\max} = 3 T_c = 3 \times 19.34\text{ N} \approx 58.0\text{ N} \]
Thus, the maximum tension in the V-belt is 58 N.
अधिकतम शक्ति संचरण की शर्त पर:
अपकेंद्रीय तनाव \(T_c = \frac{1}{3} T_{\max} \implies T_{\max} = 3 T_c = 3 m v^2\)।
बेल्ट का वेग \(v = \frac{\pi D N}{60} = \frac{\pi \times 0.14 \times 600}{60} \approx 4.4\text{ m/s}\)
\(T_c = 1 \times (4.4)^2 \approx 19.36\text{ N}\) अतः अधिकतम तनाव \(T_{\max} = 3 \times 19.36 = 58.08\text{ N} \approx 58\text{ N}\)।
