Question

If a point moves so that its radical velocity is k times its transverse velocity show that its path is an equiangular spiral

Answer 1

Answer:

A logarithmic spiral, equiangular spiral or growth spiral is the curve defined by an object moving with constant linear velocity and angular velocity.

The fundamental characteristic of this spiral is that expansion and rotation have a geometrical or exponential bond. The distance between the spirals increases much faster than the rotation.

Other names given to this spiral are equiangular or geometric; the first name is given because the same rotation angle, set to build it, grows in arithmetic progression, while the second name is given by the radius that grows in geometric progression.

This spiral is the one we can observe the most in nature, in the vegetable kingdom, in the forms of galaxies, in the shells of some species of mollusks, etc. It is also used in art since prehistoric times.

Step-by-step explanation: