### Rotating Objects (Electric Motor Driving Conveyor) in Linear Motion Torque, Force Equation and Calculator

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Use this equation and calculator to determine the the torque and force to drive material in linear motion with respect to a continuous fixed relation to a rotational drive/velocity. Such as, a material moving system or conveyor machine pulley.

Equation:

and (Moment of Inertia) for a typical material in linear motion driven by a continuous fixed relation to a rotational speed, such as a conveyor system drive pulley and wheel:

Where:

T = | Required Torque, lb-ft |

WK^{2 = } |
Total Mass Moment of Inertia of load to be accelerated lb-ft^{2}(See Mass Moment of inertia calculations) |

= | Change of speed, rpm |

t = | Time to accelerate the load, seconds |

W = |
Weight of object, lb |

V = |
Linear velocity, fpm |

N = |
Rotational speed of shaft, rpm |