Find angle in radians of tractor wheel going 22 mph in 12 s

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SUMMARY

The discussion focuses on calculating the angle in radians for a tractor wheel traveling at 22 mph over a duration of 12 seconds. The key formula utilized is the angular velocity equation, v = rω, which leads to ω = v/r after converting units. The angle in radians is then determined using the formula θ = ωt. This method emphasizes the use of angular equations over linear ones for clarity and accuracy in calculations.

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  • Understanding of angular velocity and linear velocity concepts.
  • Familiarity with the formula v = rω.
  • Basic knowledge of unit conversion techniques.
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View attachment 1469

the calculation is mine however, if ans is correct not sure what the conventional way would to set this up?
 
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karush said:
View attachment 1469

the calculation is mine however, if ans is correct not sure what the conventional way would to set this up?
I typically would include the actual formulas you are using. I also tend to use the angular equations rather than trying to use the linear ones. For example: [math]v = r \omega[/math], so [math]\omega = \frac{v}{r}[/math] (And at this step you would do your unit conversions.)

Then you simply have [math]\theta = \omega t[/math].

-Dan
 

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