What is the dimension of K constant?

So k = F/x, k = [MLT^-2]/[L], therefore the dimension of k is [MT^-2].

What is the dimensional formula of spring constant k?

k is the spring constant in N.m….Formula of Spring Constant.

Formula F=-k x
SI unit N.m-1

Does the spring constant have dimension?

The dimension of a spring force constant is MT−2.

What is the value of k in dimensional analysis?

The value of k, a dimensionless constant, cannot be obtained by dimensional analysis. Was this answer helpful?

What is dimension formula?

The dimensional formula is defined as the expression of the physical quantity in terms of its basic unit with proper dimensions. For example, dimensional force is. F = [M L T-2] It’s because the unit of Force is Netwon or kg*m/s2. Dimensional equation.

What is the value of spring constant k?

The spring CONSTANT can be found USING THE spring force law F=k x, where symbols have usual meaning. K=F/x=3*10^4/0.50=6*10^4 N/m. A spring with such high value of spring/stiffness constant could very well function as a vestibular spring; connecting the compartments of a 🚆.

What is the dimension formula of spring?

M1L2T−1.

What is K in F KX?

Hooke’s Law Equation The Hooke’s Law Calculator uses the formula Fs = -kx where F is the restoring force exerted by the spring, k is the spring constant and x is the displacement, or distance the spring is being stretched.

How do you calculate dimensions?

Measure any two sides (length, width or height) of an object or surface in order to get a two-dimensional measurement. For example, a rectangle that has a width of 3 feet and height of 4 feet is a two-dimensional measurement. The dimensions of the rectangle would then be stated as 3 ft. (width) x 4 ft.

What is K in force formula?

F: The spring’s restoring force directed towards equilibrium. K: The constant of spring in N.m-1. X: The displacement of the spring from its position of equilibrium.

What is dimension and dimensional formula?

DIMENSIONS are the powers to which the fundamental quantities are raised to represent other physical quantities. DIMENSIONAL FORMULA is an expression in which dimensions of a physical quantity is represented in terms of fundamental quantities.

How do you find the unit dimension?

If Q is the unit of a derived quantity represented by Q = MaLbTc, then MaLbTc is called dimensional formula and the exponents a, b and, c are called the dimensions.