What is the formula of radius of curvature?

What is the formula of radius of curvature?

Radius of Curvature Formula R= 1/K, where R is the radius of curvature and K is the curvature.

How do you find tension with mass and radius?

We have mass = 10 Kg, radius = 0.5 m, tension = 50 N….2) In the case of exactly horizontally uniform circular motion, if the length is double find the effect on the tension.

  1. Tension = mv2/r.
  2. Now let us substitute r with 2r.
  3. Tension = mv2/2r.
  4. So, the tension becomes halved by doubling the length of the rope.

Does tension change with radius?

2 undergoing uniform circular motion. Thus, we find that the tension in the string increases with the square of the speed, and decreases with the radius of the circle.

What is the radius of curvature in physics?

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 calculate radius?

Radius of a circle from area: if you know the area A , the radius is r = √(A / π) . Radius of a circle from circumference: if you know the circumference c , the radius is r = c / (2 * π) . Radius of a circle from diameter: if you know the diameter d , the radius is r = d / 2 .

How do you find tension physics?

Things to Remember

  1. Tension is a force that works in medium lengths, especially those that are flexible, such as rope or cord.
  2. Tension force remains a gravitational force.
  3. Total energy can be calculated as: Fnet = T − W = 0.
  4. T = W ± ma.
  5. If the body is moving upwards then the tension will be referred to as the T = W + ma.

What is the formula of centre of curvature?

x = 1 + sinθ and y = sinθ − 1 2 cos 2θ and hence obtain the co-ordinates of the centre of curvature.

What is radius measured in physics?

The radius of a circle is the straight-line distance from the very center of the circle to any point on the circle.

How do you find the tension of a string in physics?

We can think of a tension in a given rope as T = (m × g) + (m × a), where “g” is the acceleration due to gravity of any objects the rope is supporting and “a” is any other acceleration on any objects the rope is supporting.

What is the dimension formula of tension?

Or, Tension = [M1 L0 T0] × [M0 L1 T-2] = M1 L1 T-2. Therefore, the tension is dimensionally represented as M1 L1 T-2.

  • August 30, 2022