Spring constant in physics

X is the displacement of the spring from its equilibrium position. If the spring constant is zero it means that the stiffness of the spring will be zero.

Spring Constant 66 THE SPRING CONSTANT Objective.

Spring constant in physics. The spring constant represents the stiffness of the spring. Hence it should always have a positive value. If the spring constant is zero it means that the stiffness of the spring will be zero.

It will no longer be a spring as no force will be acting in the opposite direction. K is known as the spring constant or stiffness constant. Unit of spring constant is Nm.

There are different types of spring. For example torsion spring which works due to turning of the spring. The spring constant k is a measure of the stiffness of the spring.

It is different for different springs and materials. The larger the spring constant the stiffer the spring and the more. The spring constant shows how much force is needed to compress or extend a spring or a piece of elastic material by a given distance.

If you think about what this means in terms of units or inspect the Hookes law formula you can see that the spring constant has units of force over distance so in SI units newtonsmeter. Find the spring constant for spring if it requires a 9000 Newton force to pull spring 300 cm from the position of equilibrium. To solve for the spring constant k we can rearrange the formula for spring constant as.

F -K x. K frac-Fx In this example a 9000 N force is pulling on a spring. The variables of the equation are.

F which represents force k which is called the spring constant and measures how stiff and strong the spring is and x is the distance the spring is stretched or compressed away from its equilibrium or rest position. Hookes Law and Spring Constant Hookes law which we sometimes refer to as the law of elasticity was discovered by an English scientist Robert Hooke in the year 1660. For comparatively small distortions of an object the displacement or size of the distortions is directly proportional to the distortion force or load says the Hookes Law.

The spring constant tells u that it is the ratio of change of force with respect of deflection. So in other words it is directly proportional to each other. The spring constant can also be known as the force constant.

It is a measure of the elasticity of the spring. Hookes law is a law of physics that states that the force F needed to extend or compress a spring by some distance x scales linearly with respect to that distancethat is F s kx where k is a constant factor characteristic of the spring ie its stiffness and x is small compared to the total possible deformation of the spring. The law is named after 17th-century British physicist.

Freely falling objects problems and solutions 3. Spring A has the original length of 60 cm and spring B has the original length of 90 cm. Spring A has constant 100 Nm spring B has constant 200 Nm.

The ratio of the change in length of spring A to the change in length of spring B is. The spring constant is a mathematical parameter present in Hookes law the mathematical law that describes the stored potential energy of a coiled or stretched spring. K is the spring constant in Nm-1.

X is the displacement of the spring from its equilibrium position. In other words the spring constant is the force applied if the displacement in the spring is unity. If a force F is considered that stretches the spring so that it displaces the equilibrium position by x.

Spring Constant Dimensional Formula. This video covers- The types of elasticity compress stretch bending- The types of deformation elastic inelastic - Hookes Law- Idea of extension- S. Spring Constant 66 THE SPRING CONSTANT Objective.

To determine the spring constant of a spiral spring by Hookes law and by its period of oscillatory motion in response to a weight. A spiral spring a set of weights a weight hanger a balance a stop watch and a two- meter stick. Where k is the spring constant.

According to Newtons third law if a spring is stretched or compressed using force F as a reaction the spring also react by a force - F. Problems with Detailed Solutions Problem 1 What is the magnitude of the force required to stretch a 20 cm-long spring with a spring constant of 100 Nm to a length of 21 cm. The spring constant is a number that represents how much force it takes to stretch a material – materials with larger spring constants are stiffer.

So these are our properties to describe the. Equivalent Spring Constant Series When putting two springs in their equilibrium positions in series attached at the end to a block and then displacing it from that equilibrium each of the springs will experience corresponding displacements x 1 and x 2 for a total displacement of x 1 x 2We will be looking for an equation for the force on the block that looks like. A spring constant is a variable used in physics to describe the force per unit of distant a spring will resist or apply to an object.

In other words its a measure of how stiff a spring is. The higher the constant the stiffer the spring.