Find the torque for a vehicle wheel

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SUMMARY

The discussion focuses on calculating the torque (τ) required for a vehicle wheel with radius r and mass m to maintain a constant speed v. The relevant equation for torque is τ = r × F, where F is the horizontal force applied at the wheel's axis. Participants clarified that the problem assumes constant velocity, implying that the force F must counteract any resistive forces, such as drag or incline. The conversation emphasizes the importance of understanding the relationship between force, torque, and acceleration in this context.

PREREQUISITES
  • Understanding of torque and its formula τ = r × F
  • Basic knowledge of forces and motion in physics
  • Familiarity with concepts of constant velocity and acceleration
  • Ability to interpret and analyze physics problems
NEXT STEPS
  • Study the relationship between torque and angular acceleration in rotational dynamics
  • Learn about the effects of drag and incline on vehicle motion
  • Explore the implications of constant velocity on force calculations
  • Investigate real-world applications of torque in automotive engineering
USEFUL FOR

This discussion is beneficial for physics students, automotive engineers, and anyone interested in understanding the mechanics of vehicle motion and torque calculations.

MikeN232
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Homework Statement


In order for a vehicle (wheel) of radius r [m] and mass m [kg] to move at speed v [m/s], horizontal force F [N] should be applied at its axis. Find torque τ [N⋅m], equal to that force that must be applied on the hub.

Homework Equations


torque τ = r × F

The Attempt at a Solution


find tangential force F^{t} , then find torque τ;
find horizontal acceleration a, from it angular acceleration α, and from it and mass torque τ
 
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Hi MikeN232 and welcome to PF.
Did you do what you posted under "The attempt at a solution"? If so, please post it. If not why not?
 
MikeN232 said:
find horizontal acceleration a,
The question statement does not mention acceleration. Instead, it gives the impression that this is constant velocity. That may be because of drag or because the vehicle is going uphill, etc.
The question wording is a bit obscure. I think it means that if a force were applied at the wheel axis to keep the vehicle moving at speed v then the force would be F. But instead, a torque is applied at the axis; what does the torque need to be?
 

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