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The gear in mesh transmits 120 KEEP of power. The pinion has a pitch diameter of 180 mm and rotates at 600 rpm. The normal force applied due to power transmitted is ( pressure angle is 20 degree)?
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The gear in mesh transmits 120 KEEP of power. The pinion has a pitch d...
Calculation of Normal Force Applied


  • Power transmitted (P) = 120 kW

  • Pitch diameter of pinion (dp) = 180 mm

  • Rotational speed of pinion (N) = 600 rpm

  • Pressure angle (α) = 20°



Calculation of Tangential Force


  • Tangential force (Ft) = (2P / π N)

  • Ft = (2 x 120000 / 3.14 x 600) = 127.39 Nm



Calculation of Pitch Line Velocity


  • Velocity of pitch line (V) = (π dp N / 60)

  • V = (3.14 x 0.18 x 600 / 60) = 11.31 m/s



Calculation of Normal Force


  • Normal force (Fn) = (Ft / tan α)

  • Fn = (127.39 / tan 20) = 370.45 N



Therefore, the normal force applied due to power transmitted is 370.45 N. The normal force is required to maintain the meshing of the gears and to prevent them from slipping. The calculation involves determining the tangential force and the pitch line velocity, which are used to calculate the normal force. The pressure angle is also considered in the calculation, as it determines the angle at which the forces are applied on the gear teeth.
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The gear in mesh transmits 120 KEEP of power. The pinion has a pitch diameter of 180 mm and rotates at 600 rpm. The normal force applied due to power transmitted is ( pressure angle is 20 degree)?
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