How does the front wheel of bicycle is moving whether it has no paddle?

When a bicycle is in motion, the front wheel is moving due to the transfer of energy from the rider's pedaling and inertia. Here's how the front wheel keeps moving even without pedaling:

1. Initial Momentum: When the cyclist starts pedaling and the bicycle begins to move forward, the wheels gain momentum. Momentum is the tendency of an object in motion to continue moving in the same direction with the same speed. This initial momentum, generated by pedaling, keeps the front wheel moving even when the rider stops pedaling.

2. Inertia: Inertia is the property of an object to resist any change in its state of motion. Once the front wheel is in motion, it tends to maintain that motion unless acted upon by an external force. This inertia allows the wheel to continue spinning, even without the direct force of pedaling.

3. Conservation of Angular Momentum: Angular momentum is the rotational equivalent of linear momentum. In a bicycle wheel, the angular momentum is distributed between the wheel itself and the rider. When the rider stops pedaling, the total angular momentum of the system must remain constant. Since the rider's body tends to slow down or stop, the wheel compensates by increasing its rotational speed to maintain the overall angular momentum. This keeps the wheel spinning.

4. Gyroscopic Effect: A spinning object, like a bicycle wheel, experiences a gyroscopic effect. This effect causes the wheel to resist changes in its axis of rotation. When the rider stops pedaling, the front wheel continues to spin and, due to the gyroscopic effect, it maintains its direction of rotation. This contributes to the stability of the bicycle and helps keep the wheel moving forward.

5. Rolling Resistance: While the wheel is in motion, it experiences rolling resistance from the contact between the tire and the ground. This resistance opposes the motion of the wheel, causing it to slow down gradually. However, the momentum, inertia, and gyroscopic effect of the wheel overcome this resistance to some extent, allowing it to continue moving even without pedaling.

It's worth noting that the front wheel's motion will eventually slow down due to factors like rolling resistance, air resistance, and friction. However, it can maintain its forward momentum for a while, allowing the cyclist to coast and keep the bicycle moving without paddling.