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A turn of radius 120 m is being designed for a speed of 35 m/s. At what angle should the turn be banked?

User Braindice
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1 Answer

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Final answer:

The ideal banking angle for a turn can be calculated using the formula tan(θ) = v² / (r * g), which is derived from the balance between centripetal force and gravitational force.

Step-by-step explanation:

To calculate the angle at which the turn should be banked for a radius of 120 m at a speed of 35 m/s, we use the formula for the banking angle, which is derived from equating the centripetal force to the component of the gravitational force:

tan(θ) = v2 / (r * g) where:

  • v is the speed (35 m/s),
  • r is the radius of the turn (120 m),
  • g is the acceleration due to gravity (approximately 9.81 m/s2).

Plugging the values into the equation gives us the ideal banking angle:

tan(θ) = (35 m/s)2 / (120 m * 9.81 m/s2)

θ = tan-1((352) / (120 * 9.81))

User Docchang
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