Respuesta :
The ratio of translation kinetic energy to rotational kinetic energy of the ball while the ball accelerating down the incline is constant.
Translation kinetic energy=1/2MV²
Rotational kinetic energy=1/2IW²=1/5MV²
translation kinetic energy/rotational kinetic energy=1/2MV²/1/5MV²=2.5 =Constant
We are aware that the kinetic energy (KE) in linear, or translational, motion is equal to 12 mv2. By swapping out mass m for the rotational equivalent of mass, rotational inertia I, and speed v for rotational speed, we can determine the rotational version of kinetic energy. The only distinction between rotational and translational kinetic energy is that the former moves in a straight line while the latter does not. A bike tire moving down a bike path is an illustration of both kinetic and translational kinetic energy. Through the use of a screw-and-nut assembly mounted on the motor shaft, rotation can be changed into linear speed. The two primary varieties of screw-and-nut systems are ball screw and lead screw. A ball screw works by the screw and nut rolling in contact with one another.
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