Physics-
General
Easy

Question

A circular road of radius 1000 blank m has banking angle 45 degree. The maximum safe speed of a car having mass 2000 blank k g will be, if the coefficient of friction between tyre and road is 0.5

  1. 172 blank m divided by s    
  2. 124 blank m divided by s    
  3. 99 blank m divided by s    
  4. 86 blank m divided by s    

The correct answer is: 172 blank m divided by s


    The maximum velocity for a banked road with friction,
    v to the power of 2 end exponent equals g r open parentheses fraction numerator u plus t a n theta over denominator 1 minus u t a n theta end fraction close parentheses
    rightwards double arrow v to the power of 2 end exponent equals 9.8 cross times 1000 cross times open parentheses fraction numerator 0.5 plus 1 over denominator 1 minus 0.5 cross times 1 end fraction close parentheses rightwards double arrow v equals 172 m divided by s

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