A horizontal turntable at an industrial plant is continuously fed parts into a slot (shown on the left). It then drops these parts into a basket (shown on the right). The turntable rotates 180° between these two stages. The turntable briefly stops at each 1/8th of a turn in order to receive a new part into the slot on the left.If the rotational speed of the turntable is w radians/second, and the outer radius of the turntable is R2, what must be the inner radius R1 so that the parts fall out of the slot and into the basket, as shown?Assume:• The angular speed w of the turntable can be treated as constant and continuous; which means you can ignore the brief stops the turntable makes at each 1/8th of a turn.• The location of the basket is 180° from the feed location.• The slots are very well lubricated so that there is no friction between the slot and part.• The parts can be treated as particles, which means you can ignore their dimensions in the calculation.• The slots are aligned with the radial direction of the turntable.

Vicki Sharma , 10 Years ago

Grade 12