Your 1500 kg truck enters a 35.0 m radius traffic circle. It is an icy day and the coefficient of static friction between your tire and the roads is 0.15. What is the maximum speed that you can go through the traffic circle without sliding? Answer in km/h.
4 years ago
Answered By Majid B
$F_c=F_f=\mu.F_N=\mu.m.g=\frac{mv^2}{r}$Fc=Fƒ =μ.FN=μ.m.g=mv2r
$v=\sqrt{r.\mu.g}=\sqrt{\left(35m\right)\left(0.15\right)\left(9.81ms^{-2}\right)}=7.18ms^{-1}=7.18ms^{-1}\left(\frac{3.6kmh^{-1}}{ms^{-1}}\right)=25.8kmh^{-1}$v=√r.μ.g=√(35m)(0.15)(9.81ms−2)=7.18ms−1=7.18ms−1(3.6kmh−1ms−1 )=25.8kmh−1