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A circular road of radius 1000 m has banking angle 45o. The maximum safe speed of a car having mass 2000 kg will be, if the coefficient of friction between tyre and road is 0.5
  • a)
    172 m/s
  • b)
    124 m/s
  • c)
    99 m/s
  • d)
    86 m/s
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A circular road of radius 1000 m has banking angle 45o. The maximum sa...
Given:
Radius of circular road, r = 1000m
Banking angle, θ = 45°
Coefficient of friction, μ = 0.5
Mass of the car, m = 2000 kg

To find: Maximum safe speed of the car

Formula:
Maximum safe speed on a banked road is given by
v = √rgtanθ / √(μ+ tan²θ)
where
v = maximum safe speed
r = radius of the circular road
g = acceleration due to gravity = 9.8 m/s²
θ = banking angle
μ = coefficient of friction

Calculation:
Substituting the given values in the formula, we get
v = √(9.8 x 1000 x tan 45°) / √(0.5 + tan² 45°)
v = √(9800) / √(0.5 + 1)
v = √(9800) / √1.5
v = 172.14 m/s

Therefore, the maximum safe speed of the car is 172 m/s.
Hence, option (a) is the correct answer.
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A circular road of radius 1000 m has banking angle 45o. The maximum safe speed of a car having mass 2000 kg will be, if the coefficient of friction between tyre and road is 0.5a)172 m/sb)124 m/sc)99 m/sd)86 m/sCorrect answer is option 'A'. Can you explain this answer?
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A circular road of radius 1000 m has banking angle 45o. The maximum safe speed of a car having mass 2000 kg will be, if the coefficient of friction between tyre and road is 0.5a)172 m/sb)124 m/sc)99 m/sd)86 m/sCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A circular road of radius 1000 m has banking angle 45o. The maximum safe speed of a car having mass 2000 kg will be, if the coefficient of friction between tyre and road is 0.5a)172 m/sb)124 m/sc)99 m/sd)86 m/sCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular road of radius 1000 m has banking angle 45o. The maximum safe speed of a car having mass 2000 kg will be, if the coefficient of friction between tyre and road is 0.5a)172 m/sb)124 m/sc)99 m/sd)86 m/sCorrect answer is option 'A'. Can you explain this answer?.
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