How to calculate force on a wheel in a three gear system?

In summary, the conversation discusses the calculation of force on a wheel driven by a motor with known torque and rational speed, between three gears with known radii. The number of gears affects the overall gear reduction ratio, which is multiplied by the input torque to determine the output torque and then divided by the radius of the wheel to calculate the force at the wheel.
  • #1
Soroushqwn
1
0
Hi guy
I try to understand how should I calculate the force on a wheel with known radius which is driven by a motor with a known torque and rational speed, in between three gears with known radiuses. Does the number of gears matter for the torque and so for the force on the wheel? (100% efficiency)
thx
 
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  • #2
you have to calculate the overall gear reduction ratio.

then multiply input torque by gear ratio to get output torque. then divide away the radius of the wheel and you have the force at the wheel.
 
  • #3
the number of gears matter, they are the number of "stages" in a reduction.
 

What is the formula for calculating force on a wheel in a three gear system?

The formula for calculating force on a wheel in a three gear system is F = µW, where F is the force, µ is the coefficient of friction, and W is the weight of the wheel.

How do the gear ratios affect the force on the wheel?

The gear ratios in a three gear system determine the mechanical advantage and therefore affect the force on the wheel. A higher gear ratio means a lower force required to turn the wheel, while a lower gear ratio requires a higher force.

What is the role of friction in calculating force on a wheel in a three gear system?

Friction plays a crucial role in calculating force on a wheel in a three gear system. Friction is represented by the coefficient of friction (µ) in the formula, and it determines how much resistance the wheel will face when turning.

How does the weight of the wheel affect the force calculation?

The weight of the wheel is a significant factor in calculating force. The weight of the wheel, represented by W in the formula, determines the amount of force required to overcome the weight and move the wheel horizontally.

What are some real-world applications of calculating force on a wheel in a three-gear system?

Calculating force on a wheel in a three-gear system has various real-world applications, such as in bicycle gears, car transmissions, and conveyor belt systems. It is also essential in understanding the performance of machines and ensuring their safe and efficient operation.

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