More Connect Wheels (Bicycles) Practice Problems

Consider a industrial machine that has two gears connected by a single chain. The driving gear, that is powered by an engine, has a radius of 8.0 cm. The driven gear, that is connected to the machinery, has a radius of 16.0 cm. When the engine runs, the driving gear rotates with an angular velocity of $\omega_{d}$. Calculate the ratio of the angular velocity of the driven gear $\omega_{f}$ to the angular velocity of the driving gear $\omega_{d}$.

A conveyor belt system has two sprockets that are connected by a belt. The driving sprocket that is powered by a motor has a radius R_d of 10.0 cm. The driven sprocket has a radius R_f of 5.0 cm. When the motor runs, the driving sprocket rotates with an angular velocity of $\omega_{d}$. Calculate the ratio of the angular velocity $\omega_{f}$ of the driven sprocket to the angular velocity $\omega_{d}$ of the driving sprocket.