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aaronfue
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Homework Statement
Three stock car drivers are racing around a circular bend. They are each circling the bend at different radii: r1=249 m, r2=255 m, and r3=261 m. At a given instant, all three are traveling at the same transverse rate of rotation, [itex]\dot{\theta}[/itex]1=[itex]\dot{\theta}[/itex]2=[itex]\dot{\theta}[/itex]3=0.271 [itex]\frac{rad}{s}[/itex] .The cars are also increasing their transverse rate of rotation by the same rate, [itex]\ddot{\theta}[/itex]1=[itex]\ddot{\theta}[/itex]2=[itex]\ddot{\theta}[/itex]3=2.71×10-2[itex]\frac{rad}{s^2}[/itex].Determine the magnitudes of the velocity and acceleration of the first driver.
Homework Equations
a=√ar2+a[itex]\theta[/itex]2
ar=[itex]\ddot{r}[/itex] - r[itex]\dot{\theta}[/itex]2
aθ=r[itex]\ddot{\theta}[/itex] + 2[itex]\dot{r}[/itex][itex]\dot{\theta}[/itex]
The Attempt at a Solution
ar=18.286809 [itex]\frac{rad}{s^2}[/itex]
aθ=6.7479 [itex]\frac{rad}{s^2}[/itex]
a=√18.2868092 + 6.74792 = 19.492 [itex]\frac{rad}{s^2}[/itex]
v = ??
I'm not sure if the velocity is 18.286809 [itex]\frac{rad}{s^2}[/itex] or not?
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