Subtopic: Design and selection of machine elements – gears, pulleys, chains and sprockets and belts
Question Statement:
Two meshed involute gears transmit 1.0 kW power. The pressure angle is 20° and the pitch circle diameter of the large gear rotating at a speed of 600 rpm is 20 cm. If only a pair of teeth meshes at a time, the normal force acting between the meshed teeth in N will be ______. [round off to one decimal place] (Take π = 3.14)
Official Answer Key:
165.0 to 176.0
Step-by-Step Solution & Explanation
Pitch-line velocity v = πDN/60 = 3.14×0.20×600/60 = 3.14×0.20×10 = 6.28 m/s. Tangential force F_t = Power/v = 1000/6.28 = 159.24 N. Normal force = F_t/cos(pressure angle) = 159.24/cos(20°) = 159.24/0.9397 = 169.5 N.
Section 3 — Farm Power
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