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

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To find the angle in radians for a tractor wheel moving at 22 mph over 12 seconds, the discussion emphasizes using angular equations instead of linear ones. The formula v = rω is highlighted, where ω (angular velocity) is calculated by converting the linear speed to radians per second. The angle θ is then determined using the equation θ = ωt. The importance of unit conversions is also noted to ensure accuracy in calculations. This approach provides a systematic method for solving the problem.
karush
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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