when you pedal a bicycle maximum torque is produced when the pedal sprocket arms are in the horizontal position and no torque is produced when in the vertical position, explain?

When pedaling a bicycle, the maximum torque is produced when the pedal sprocket arms are in the horizontal position, while no torque is produced when they are in the vertical position. To understand this, let's explore the concepts of torque and mechanical advantage.

Torque is the measure of rotational force around an axis. When you pedal a bicycle, you apply a force on the pedals in a circular motion, generating torque that rotates the chainring and the rear wheel. The torque produced by pedaling depends on various factors such as the force applied, the position of the pedal arms, and the size of the chainring and rear sprocket.

In the horizontal position, the pedal arms are perpendicular to the chainring and horizontal to the ground. This alignment allows the force you apply to be transmitted directly to the chainring, resulting in maximum torque. The perpendicular orientation creates the longest lever arm, which increases the moment arm and amplifies the applied force.

On the other hand, when the pedal arms are in the vertical position, they align with the chainring, almost parallel to the ground. In this position, the force you apply is more directed towards pushing the pedals down rather than generating rotational force. Therefore, no torque is produced as there is little leverage to generate rotational motion.

It is important to note that although no torque is produced in the vertical position, the bicycle continues to move forward due to its momentum. Additionally, the position of the pedal arms continually changes during the pedaling motion, with torque being produced for various positions between vertical and horizontal.

In summary, the horizontal position of the pedal sprocket arms maximizes the torque produced while pedaling a bicycle, while the vertical position generates no torque due to the lack of leverage.