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

General Engineering and Design Data Menu
Industrial Electric Motor Application, Design and Installation Menu

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:

Linear motion torque formula

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:

Moment of inertia formula

 Open Calculator

Where:

T = Required Torque, lb-ft
WK2 =   Total Mass Moment of Inertia of load to be accelerated  lb-ft2
(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