Calculating angular velocity when given two wheels speed

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SUMMARY

This discussion focuses on calculating the angular velocity of a three-wheeled vehicle with one passive front wheel and two powered rear wheels. The key method involves measuring the velocities of the two rear wheels, denoted as v1 and v2, and calculating their average velocity using the formula v = (v1 + v2) / 2. By knowing the radial distance between the two wheels, one can determine the radius of the turn (r) using the relationship v1/r1 = v2/r2 = v/r. Finally, the angular rate can be derived by calculating the time taken for a one radian turn, which is the reciprocal of that time.

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  • Understanding of basic physics concepts, particularly angular motion.
  • Familiarity with velocity and its calculations.
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  • Ability to perform basic algebraic manipulations.
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This discussion is beneficial for automotive engineers, robotics developers, and anyone involved in vehicle dynamics or control systems, particularly those working with multi-wheeled vehicles.

Idaan
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Hello everyone. I'm new here, though I've been using the site for a long time now. Now, I have a question. =)

Suppose I have a vehicle with 3 wheels, one frontal passive wheel, and two wheels with different motors in the back. How will I go about calculating the angular velocity of the car, if given the velocity of each wheel? Or maybe given the relation between the two said speeds?

Regards,
Idaan.
 
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Welcome to PF.

You can measure the velocities v1 and v2 of the two wheels.
The velocity of the midpoint between those will be the average. v = (v1 + v2) / 2

Knowing v1, v2, and the (radial) distance between w1 and w2 you can work out the radius of the turn, r, since the ratio v1/r1 = v2/r2 = v/r.

You now know the velocity, v, and radius, r, so you can work out the time to do a one radian turn.
The reciprocal of that is the angular rate.
 

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