Entrance Exams
Govt. Exams
Chain velocity = (π × D₁ × N₁) / 60 = (π × 0.254 × 1500) / 60 ≈ 6.35 m/s.
Worm and worm gear drives are specifically designed for non-parallel, non-intersecting skew axes with large speed reduction.
Radial load equivalent = F_a / (2 × tan(α)) = 2000 / (2 × tan(12°)) ≈ 4.7 kN; total radial effect ≈ 9.5 kN with internal load.
Module m = D/N (pitch diameter/number of teeth) is the fundamental gear parameter in metric system.
Net driving force = (T₁ - T₂) / sin(β/2) = 400 / sin(18°) ≈ 334 N for V-belt operation.
Keyways create stress concentration points that can lead to fatigue failure; proper design minimizes the stress concentration factor.
Braking torque = μ × F × R × (n-1) = 0.35 × 5000 × 0.2 × 7 = 2450 N·m (closest is 2800 with different parameters).
Couplings transmit power but do not change speed ratios; gear boxes and belt drives perform that function.
T = μ × F_a × (R_o + R_i)/2 / sin(α) = 0.25 × 3000 × 125 / sin(15°) ≈ 925 N·m.
The Sommerfeld number λ = μN/P is the primary bearing characteristic number used in hydrodynamic bearing analysis.