What is the formula of curvature?

x = R cost, y = R sin t, then k = 1/R, i.e., the (constant) reciprocal of the radius. In this case the curvature is positive because the tangent to the curve is rotating in a counterclockwise direction. In general the curvature will vary as one moves along the curve.

What is the formula of radius of curvature in projectile motion?

v2sin2θg.

What is the radius of curvature of a circle?

“In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best approximates the curve at that point. For surfaces, the radius of curvature is the radius of a circle that best fits a normal section or combinations thereof.”

How do you find the radius of curvature from velocity?

Radius of curvature is governed by a=v2/r.

What is radius of curvature of mirror?

(a) Radius of curvature of a spherical mirror is defined as the radius of an imaginary hollow sphere of which the mirror is a part of. (b) Focal length of spherical mirror is the distance of the point from pole at which all the parallel rays are converged after reflection.

What is radius of curvature in physics class 11?

Radius of curvature: The radius of curvature of a spherical mirror is the radius of the sphere of which the reflecting surface of spherical mirror is a part and is represented by r’ Focal point : It is the distance between the pole P and the focus F and is represented by f.

What are the equations for projectile motion?

h = v 0 y 2 2 g . h = v 0 y 2 2 g . This equation defines the maximum height of a projectile above its launch position and it depends only on the vertical component of the initial velocity.

What is a radius of curvature in physics?

The distance from the vertex to the center of curvature is known as the radius of curvature (represented by R). The radius of curvature is the radius of the sphere from which the mirror was cut.

How do you find the radius of curvature in physics?

The radius of curvature (R) is simply twice the focal length value (R = 2•f). Like any equation in physics, the mirror equation can be used to solve for an unknown variable through algebraic substitution and rearrangement.