Question

. Name 3 forces acting on a car on a circular level road. Also derive the

equation of maximum speed of a car on a banked road . A circular race track

of radius 300m is banked at an angle of 150

.Calculate the optimum speed of

the race car to avoid wear and tear?​

Answer 1

Answer:

Optimum speed of car is

tanθ=

rg

v

2

v

2

=rgtanθ

=10×300×tan15

v

2

=780m/s

v=28m/s

(b) Maximum permissible speed to avoid slipping is

v

m

=

Rg(

1−μtanθ

μ+tanθ

)

=

300×10(

1−0.2tan15

0.2+tan15

)

=

1458.7

=38.19m/s