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a 500kg car is going around a banked curve with a radius of 110m at a speed of 21.5m/s. what is the the appropriate banking angle so that the car stays on its path without the assistance of friction

User Janh
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Final answer:

The appropriate banking angle for the car to stay on its path without the assistance of friction is approximately 26.3°.

Step-by-step explanation:

To determine the appropriate banking angle for the car to stay on its path without the assistance of friction, we can use the following formula:

tan(Θ) = (v^2) / (g * r)

Where:

  • Θ is the banking angle
  • v is the speed of the car
  • g is the acceleration due to gravity
  • r is the radius of the curve

Plugging in the values, we have:

tan(Θ) = (21.5^2) / (9.8 * 110)

Solving for Θ, we find:

Θ ≈ 26.3°

Therefore, the appropriate banking angle for the car to stay on its path without the assistance of friction is approximately 26.3°.

User Avivr
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