Question

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?

Answer 1

Answer:v=21.10 m/s

Step-by-step explanation:

Given

Radius of Turn r=370 m

inclination of bank $\theta =7^{\circ}$

From diagram Resolving Normal Reaction R

$R\cos \theta =mg$------1

$R\sin \theta =\frac{mv^2}{r}$-----2

Divide 1 and 2 we get

$\tan \theta =\frac{v^2}{rg}$

$\tan (7)=\frac{v^2}{rg}$

$v^2=\tan (7)\times 370\times 9.8$

$v^2=445.21$

$v=21.10 m/s$

Answer 2

The speed limit so that a car turns successfully will be 21.11m/s

It is given that

The radius of Turn 'r'=370 m

The inclination of bank 'α'= 7 degree

We have to calculate, the speed limit you post so that a car traveling at that speed negotiates the turn successfully even when the road is wet and slick.

What is the formula for the banking of roads?

$tan \alpha =\frac{v^{2} }{gr}$, when the road is smooth

Where α is bank angle

v is the speed for a successful turn

Put the given values in the above equation.

tan 7 = v²/(9.81*370)

v= 21.111 m/s

Hence, The speed limit so that a car turns successfully will be 21.11m/s

To get more about banking of a road refer to the link,

https://brainly.com/question/14449938