Question

If the angle of banking of a road is ${32}^o$ and if a turn has radius $72m$, what is the maximum speed at which a car can turn, given the coefficient of friction between the car tyres and the road is $0.34$? (in $m/s$)

• A. $29.4$
  
• B. $26.3$
  
• C. $21.3$
  
• D. $62.3$
  

Answer 1

The correct option is A $29.4$

$v=\sqrt{\frac{rg(\mu +tan\theta )}{1-\mu \tan \theta }}$

$v=\sqrt{\frac{72\ast 9.8(0.34+tan32)}{1-0.34\tan 32}}$

$v=29.4m/s$