Torque on a shaft connecting to a wheel

In summary, the conversation revolves around determining the torque on a shaft connected to a wheel that is driven by a motor. The wheel has a radius of 0.0762m while the shaft has a radius of 8mm. The question is posed about the relationship between the torque on the wheel and the torque on the shaft, given a known torque of 20Nm acting on the wheel. The conversation also touches on the concept of torque acting about an axis and how it would be affected by factors such as drag force. Ultimately, it is concluded that if the motor and wheel are directly coupled, the torque produced by the motor will be the same as the torque on the wheel.
  • #1
zuq
6
0
hi guys

Lets say I have a wheel that is driven by a shaft connected straight to a motor.

Wheel raidus is 0.0762m while shaft raidus is 8mm.

If I know the torque acting on the wheel, say 20Nm , what would be the torque on the shaft?

Thanks
 
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  • #2
Exactly the same.
 
  • #3
It's an abiguously worded question.
Is the 20Nm applied by the motor? Or applied at the wheel (as a brake), or is it a net torque?

A torque acts about an axis.
If the axis of the wheel and the shaft axis are colinear, they are the same.
 
  • #4
Thanks Pkurse and xxChrisxx

@xxChrisxx

My background is in electrical, so bare with me please.
This is for a kart where say 50Newtons of drag force is opposing the karts movement. In terms of torque at wheels, for a radius of 0.5m say it becomes 25Nm.

Now if the motor is directly coupled to the wheel, with shaft radius of say 0.25m (overly exaggerating) will the torque produced by motor be 25Nm in steady state conditions?..i.e. not accelerating and keeping at a constant velocity.

And offcourse the motor and wheel will have same RPM.
 
  • #5
If motor shaft is directly coupled to the wheel, then they see the same torque. Assuming one wheel drive, r at .25, drag at 50, then torque is 12.5.
 

1. What is torque on a shaft connecting to a wheel?

Torque is a measure of the force that causes an object to rotate around an axis. In the context of a shaft connecting to a wheel, torque refers to the twisting force exerted on the wheel by the shaft.

2. How is torque calculated?

Torque is calculated by multiplying the force applied to the object by the distance from the axis of rotation to the point where the force is applied. In the case of a shaft connecting to a wheel, the force applied is the force exerted by the shaft and the distance is the radius of the wheel.

3. How does the angle of the shaft affect torque on the wheel?

The angle of the shaft can affect the torque on the wheel in two ways. First, the angle of the shaft relative to the wheel will determine the distance from the axis of rotation to the point where the force is applied, which is a component in the torque calculation. Second, if the angle of the shaft is not perpendicular to the wheel, it can cause a component of the force to be directed tangentially to the wheel, resulting in a different torque value.

4. What factors can affect the torque on a shaft connecting to a wheel?

The torque on a shaft connecting to a wheel can be affected by several factors, including the force applied by the shaft, the angle of the shaft, the radius of the wheel, and the friction between the shaft and the wheel.

5. Why is torque important in a shaft-wheel system?

Torque is important in a shaft-wheel system because it determines the amount of rotational force that can be applied to the wheel. This is critical in many applications, such as machinery and vehicles, where the torque must be carefully controlled to ensure proper functioning and prevent damage to the system.

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