CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

A circular track of radius 600 m is to be designed for cars at an average speed of 180 km/hr. What should be the angle of banking of the track?



Correct Answer
A

 

Your Answer
B

 

Your Answer
C

 

Your Answer
D

 


Solution

The correct option is A

 


Let the angle of banking be θ. The forces on the car are
(a) weight of the car Mg downward and
(b) normal force N

For proper banking, static frictional force is not needed.
For vertical direction the acceleration is zero. So,
N cos θ = Mg         ..........(i)
For horizontal direction, the acceleration is v2r  towards the centre, so
N sin θ = Mv2r     .......... (ii)
From (i) and (ii),
tan θ = v2rg
Putting the values, tan θ = (50 m/s)2(600 m)(10 m/s2) = 0.4167

flag
 Suggest corrections
thumbs-up
 
1 Upvotes


Similar questions
View More


People also searched for
View More



footer-image