A roadway is designed for traffic moving at a speed of 66 m/s. A curved section of the roadway is in the shape of a circular arc of 290-m radius. This section of roadway is banked so that a vehicle traveling at 66 m/s will experience no net lateral acceleration. What is the angle at which the roadway is banked?

Respuesta :

Angle of banking is given by,

theta = tan^-1(v^2/rg)

plugging values of r, g and v you will get,

theta = tan^-1 (1.5327)

tan^-1 (1.5327).

The angle of banking is given by,

theta = tan^-1(v^2/rg)

plugging values of r, g, and v you will get,

theta = tan^-1 (1.5327)

the angle at which the roadway is banked theta is = tan^-1 (1.5327).

What is the formula for circular arc?

For a circle, the arc length formula is θ times the radius of a circle. The arc length formula in radians can be expressed as, arc length = θ × r when θ is in radian. Arc Length = θ × (π/180) × r, where θ is in degree, where, L = Length of an Arc. θ = Central angle of Arc.

What are radii and arc?

Definition: The radius of an arc or segment is the radius of the circle of which it is a part. A formula and calculator are provided below for the radius given the width and height of the arc.

Learn more about  radii and arc at

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