How Do You Calculate Torque in Bicycle Chain Drives?

[mazz1801]

Its not an actual homework question just principals I am unclear on.
Its in relation to a standard bicycle being driven by a rider

How would I calculate the minimum torque on the back wheel?
How would I calculate the maximum torque on the back wheel?
How would I calculate toque on the front wheel?

 

[e^(i Pi)+1=0]

Minimum and maximum with respect to what?

 

[mazz1801]

With respect to the force the cyclist applies on the pedals.
Neglecting air resistance

 

[rcgldr]

Front tire doesn't have any torque (ignoring rolling resistance, or acceleration of bicycle).

Rear tire torque = (pedal torque) x (number teeth rear sprocket) / (number teeth front sprocket)

 

[asteriatic]

I would approach this question by first understanding the concept of torque and how it relates to a chain drive. Torque is the measure of the force that can cause an object to rotate around an axis. In the case of a chain drive, torque is the force that is applied to the rear wheel of a bicycle to propel it forward.

To calculate the minimum torque on the back wheel of a bicycle, you would need to consider several factors such as the weight of the rider, the gear ratio of the chain drive, and the rolling resistance of the tires. The formula for torque is T = F x r, where T is torque, F is the force applied, and r is the distance from the axis of rotation. In this case, F would be the force exerted by the rider on the pedals, and r would be the radius of the rear wheel. By knowing these factors, you can calculate the minimum torque required to move the bike forward.

To calculate the maximum torque on the back wheel, you would need to determine the maximum force that the rider can exert on the pedals and the maximum rolling resistance of the tires. The formula for maximum torque would be the same as above, but using the maximum force and resistance values.

The torque on the front wheel of a bicycle is also an important factor to consider, as it affects the overall balance and stability of the bike. To calculate the torque on the front wheel, you would need to consider the weight distribution of the bike and the rider, as well as the angle of the front wheel with respect to the ground. The formula for torque would be the same as above, but using the weight and angle values for the front wheel.

In summary, calculating torque in a chain drive requires an understanding of the forces and factors involved, such as rider weight, gear ratio, rolling resistance, and weight distribution. By using the appropriate formulas and values, you can determine the minimum and maximum torque on the back wheel, as well as the torque on the front wheel.