The hoisting rope of a gantry crane is required to lift a load at a speed...

 

Transcribed Image Text:

The hoisting rope of a gantry crane is required to lift a load at a speed of 4.25 m/min. The drum on which the rope is wound is driven by a motor via a gearbox. The drum diameter is 650 mm and the driving motor rotates at 720 rpm. The rope is arranged in a pulley system such that its speed is twice the speed of the load. a) Determine the required total gear ratio for the crane. b) The gearbox consists of a number of identical pairs of simple gears. x)Given that the ratio of each gear pair is between 5.1 and 6.1, calculate the number of gear pairs required. y)Each gear pair consists of a driver and a given gear. Given that each driven gear must have 20 teeth, calculate the number of teeth on each driven gear. c) The inertia of the motor and gearbox is 60kgm^2 the inertia of the drum and load is 260tonnesm/2 The inertia of the drum and rope is 20kgm 2 The frictional torque of the system is 100Nm determine the torque needed from the motor for it to achieve an angular acceleration of Srad/s^2 acceleration of 5 rad/s². The hoisting rope of a gantry crane is required to lift a load at a speed of 4.25 m/min. The drum on which the rope is wound is driven by a motor via a gearbox. The drum diameter is 650 mm and the driving motor rotates at 720 rpm. The rope is arranged in a pulley system such that its speed is twice the speed of the load. a) Determine the required total gear ratio for the crane. b) The gearbox consists of a number of identical pairs of simple gears. x)Given that the ratio of each gear pair is between 5.1 and 6.1, calculate the number of gear pairs required. y)Each gear pair consists of a driver and a given gear. Given that each driven gear must have 20 teeth, calculate the number of teeth on each driven gear. c) The inertia of the motor and gearbox is 60kgm^2 the inertia of the drum and load is 260tonnesm/2 The inertia of the drum and rope is 20kgm 2 The frictional torque of the system is 100Nm determine the torque needed from the motor for it to achieve an angular acceleration of Srad/s^2 acceleration of 5 rad/s².

Answer rating: 100% (QA)

hence the motor nee... View the full answer