How fast can a motorcyclist ride on a horizontal plane, describing an arc with a radius of 83 m

How fast can a motorcyclist ride on a horizontal plane, describing an arc with a radius of 83 m, if the coefficient of friction of rubber on the ground is 0.4?

Newton’s second law:

m * a = F, where m is body mass, a is acceleration, F is force.

In this case, the force is the friction force and is determined by the formula:

F = η * m * g, where η is the coefficient of friction, g is the acceleration of gravity.

When moving in a circle, the body moves with acceleration:

a = v ^ 2 / R, where R is the radius of the circle, v is the speed.

We get equality:

m * v ^ 2 / R = η * m * g.

Reducing by mass, we get:

v ^ 2 / R = η * g;

v = √η * g * R.

v = √0.4 * 10 * 83 = 18 m / s.

Answer: the maximum speed is 18 m / s. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.