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.

• A. 1.5
• B. 2.0
• C. 2.5
• D. 3.0