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

AI Thread Summary
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
Gold Member
MHB
Messages
3,240
Reaction score
5
View attachment 1469

the calculation is mine however, if ans is correct not sure what the conventional way would to set this up?
 
Mathematics news on Phys.org
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
 
Thread 'Video on imaginary numbers and some queries'
Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
Thread 'Unit Circle Double Angle Derivations'
Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Back
Top