For a turn of radius 370 m and a 7.0∘ bank angle, what speed limit should you post so that a car traveling at that speed negotiates the turn successfully even when the road is wet and slick?
Accepted Solution
A:
Answer:v=21.10 m/sStep-by-step explanation:GivenRadius of Turn r=370 minclination of bank [tex]\theta =7^{\circ}[/tex]From diagram Resolving Normal Reaction R[tex]R\cos \theta =mg[/tex]------1[tex]R\sin \theta =\frac{mv^2}{r}[/tex]-----2Divide 1 and 2 we get[tex]\tan \theta =\frac{v^2}{rg}[/tex][tex]\tan (7)=\frac{v^2}{rg}[/tex][tex]v^2=\tan (7)\times 370\times 9.8[/tex][tex]v^2=445.21[/tex][tex]v=21.10 m/s[/tex]