Question

Формула линейной скорости при равномерном врашении точек по окружности

Answer 1

U = w×R = S/t = 2×п×R/T

Answer 2

Linear Velocity Formula for Uniform Circular Motion

The formula for linear velocity in uniform circular motion is given by v = ωr, where: - v represents the linear velocity, - ω represents the angular velocity, - r represents the radius of the circular path.

This formula relates the linear velocity of a point on the edge of a rotating object to its angular velocity and the distance from the center of rotation.

Angular Velocity and its Relation to Linear Velocity

The angular velocity ω is defined as the rate of change of angular displacement with respect to time. It is given by the formula: - ω = 2π / T, where T represents the period of rotation, which is the time taken for one complete revolution around the circle.

Another expression for angular velocity in terms of linear velocity is: - ω = 2πν, where ν represents the linear velocity.

The relationship between linear velocity, angular velocity, and the radius of the circular path is given by the equation: - v = ωr = (2π / T)r = 2πν.

Additional Information

In the context of uniform circular motion, the linear velocity v is constant, and the direction of the velocity vector is tangential to the circular path at any given point.

The linear velocity can also be expressed in terms of the average angular velocity ω and the average radius R using the equation: - v = ωR.

The symbol R represents the average radius, and A (r̄) denotes the average position vector.

Conclusion

In summary, the linear velocity in uniform circular motion is determined by the angular velocity and the radius of the circular path, and it can be calculated using the formula v = ωr or v = ωR. These relationships provide a fundamental understanding of the motion of objects in circular paths.

If you have further questions or need additional information, feel free to ask!