Question

Care este raza de curbura a unui drum . daca un automobil se misca cu acceleratia centripeta a(c)=2m/s(la patrat) si V=72 km/h?

Answer 1

transform viteza in unitatea din SI:  $72 km/h= \frac{72000 m}{3600s}=20 m/s$

a(c)=ω² *r
v=ωr ⇒ω=v/r

$a(c)= (\frac{v}{r})^{2}*r= \frac{v^{2} }{r^{2} }*r= \frac{v^{2} }{r} \\ a(c)= \frac{v^{2} }{r} =\ \textgreater \ r= \frac{v ^{2} }{a(c)} = \frac{20*20}{2} =200 m$