What is the formula for elastic limit?
Ans : Hooke's law can be used to compute elasticity: F = KL. The elongation is denoted by L, and a highly elastic material, such as rubber, has a very low value of k because it can be stretched readily with a tiny force.
F=kΔL, whereΔL is the amount of deformation (the change in length, for example) produced by the forceF, andk is a proportionality constant that depends on the shape and composition of the object and the direction of the force. Figure 1. A graph of deformation ΔL versus applied force F.
The elastic limit of a material is the maximum stress that can be developed within it without causing permanent deformation—or permanent stretch, in oil-field terms.
Or, Stress = k × Strain … where k is the constant of proportionality and is the Modulus of Elasticity.
The formula for the elasticity of demand = Percentage change in quantity/ Percentage change in demand. When elasticity is higher than 1, it signifies products have an elastic demand. Such a demand curve. That means higher the price, lower the demand.
The SI unit of this modulus is the pascal (Pa). The material's elastic limit or yield strength is the maximum stress that can arise before the onset of plastic deformation. Its SI unit is also the pascal (Pa).
Using the formula as mentioned above, the calculation of price elasticity of demand can be done as: Price Elasticity of Demand = Percentage change in quantity / Percentage change in price. Price Elasticity of Demand = -15% ÷ 60%
Formula/Mathmatical Symbol: Elasticity = the percentage change in quantity demanded divided by the percentage change in price.
Explain what is meant by the elastic limit of the wire. -the maximum amount that a material can be. stretched (by a force) and still return to its original length when the force is removed. Define the Young modulus of a material and state the unit in which it is measured.
It states that when a material is loaded within elastic limit, the stress is proportional to the strain produced by the stress. This means the ratio of the stress to the corresponding strain is a constant within the elastic limit. This constant is known as elastic constant.
How is Hooke's Law calculator?
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.
W = kx. W is the weight of the added mass. Therefore, the spring constant k is the slope of the straight line W versus x plot. Weight is mass times the acceleration of gravity or W = mg where g is about 980 cm/sec2.
The elastic limit is defined as the maximum stretch limit of the compression spring without taking a permanent set. It is a very common assumption that a compression spring would travel or can be compressed to its solid height. However, the compression spring has certain limit of flexibility considering its dimensions.
Within certain limits, the force required to stretch an elastic object such as a metal spring is directly proportional to the extension of the spring. This is known as Hooke's law and commonly written: F = − k x \boxed{F=-kx} F=−kx.
elastic potential energy (E e) is measured in joules (J) spring constant (k) is measured in newtons per metre (N/m) extension (e), referring to the increase in length, is measured in metres (m)
Elasticity is an important economic measure, particularly for the sellers of goods or services, because it indicates how much of a good or service buyers consume when the price changes. When a product is elastic, a change in price quickly results in a change in the quantity demanded.
The elastic limit of a material wire depends on (i) the nature of material and (ii) the radius of the wire.
Hooke's law states that the strain of the material is proportional to the applied stress within the elastic limit of that material.
Hooke's law states that within the elastic limit the stress applied on a body is directly proportional to strain produced.
Elastic Limit is defined as the point where a material can be stretched without causing permanent changes in the materials size or shape. If a material is stretched beyond the elastic limit, permanent deformation of the material will occur.
Which has more elastic limit?
Steel, because a body is said to be more elastic depending on how fast it gains its original shape after removal of external (deforming) force. When a force is applied to steel it is deformed but it immediately regains its original shape within a fraction of seconds which is not in the case of rubber.
Force-extension graphs
The limit of proportionality is also described as the 'elastic limit'. The gradient of a force-extension graph before the limit of proportionality is equal to the spring constant.
Stiffness: A stiff material has a high Young's Modulus. Deformation: Also known as plastic deformation, this is the warping that occurs under stress. Elastic limit: This is the limit beyond which the material is deformed. Yielding: Just beyond the elastic limit is permanent deformation known as yielding.
The name yield strength seems to imply that it is the level of stress at which a material under load ceases to behave elastically and begins to yield. This is not the case. The point at which the material first begins to experience permanent set is known as the elastic limit (shown as the black line in Figure 1 below.)
The yield point, alternatively called the elastic limit, marks the end of elastic behaviour and the beginning of plastic behaviour. When stresses less than the yield point are removed, the material returns to its original shape.
