12. Rotational Kinematics / Intro to Connected Wheels / Problem 2
Problem 2
Consider a conveyor belt system that has two sprockets connected by a single belt. The driving sprocket which is attached to a motor has ๐๐ of teeth and a radius of ๐ ๐, and the driven sprocket which is attached to the conveyor belt, has ๐๐ of teeth and has a radius of ๐ ๐. When the motor runs, the driving sprocket rotates with an angular velocity of ๐ค๐, and the driven sprocket rotates with an angular velocity of ๐ค๐. Determine how the angular velocity of the driven sprocket ๐ค๐ is related to the angular velocity of the driving sprocket ๐ค๐ by using the value for the number of teeth located on the sprockets.