How to find elastic potential energy?
What is the key constant of proportionality?
What happens to an elastic material after a force is removed?
What is the energy that is stored in a spring?
What happens when you compress a spring?
What does the minus sign mean in Hooke's law?
What is the extra term for the spring constant?
See 4 more
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How do you find the mass of a spring constant?
1:422:33So we can just we have F we have G so M. Is equal to F over G which is equal to 1200 Newton's overMoreSo we can just we have F we have G so M. Is equal to F over G which is equal to 1200 Newton's over 9.81 m/s^2 and we'll find that the mass is going to be equal to about 120 2.3 kilograms.
How do you find the length of a spring?
What we will need to do is calculate the spring wire length per coil. This can be done by subtracting the wire diameter of the spring from the outer diameter. This will give you the mean diameter of the spring. Now that you have the mean diameter, you can multiply it by Pi (3.14) to get the length of the wire per coil.
What is the formula for spring constant?
F = -kxF = -kx. The proportional constant k is called the spring constant. It is a measure of the spring's stiffness. When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position.
How do you find the length of a spring in physics?
The total length L of a spring under extension is equal to the nominal length plus the extension, L = L 0 + x L=L_0 + x L=L0+xL, equals, L, start subscript, 0, end subscript, plus, x.
Is spring constant the length?
As from the spring constant equation, the spring constant and length are inversely proportional. Therefore if the length of the spring is increased spring constant decreases and If the spring is cut to half of its original length then the spring constant increases to twice that of the original value.
What is the formula to find length?
If you have the area A and width w , its length w is determined as h = A/w . If you have the perimeter P and width w , its length can be found with h = P/2−w . If you have the diagonal d and width w , it's length is h = √(d²−w²) .
What is the spring constant k?
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 difficult it is to stretch.
What is the value of spring constant k?
Spring constant k = 14000N/m, We can calculate the displacement of the spring by using the spring constant formula.
What is K in a =- KX?
K represents the constant of proportionality, also known as the 'spring constant. ' In layman's terms, the k variable in Hooke's law (F = -kx) indicates stiffness and strength. The higher the value of k, the more force is needed to stretch an object to a given length.
How do you find length using Hooke's Law?
Hooke's Law Formula is given as.F = -K x. Where, ... Example 1. A spring is stretched by 10 cm and has a force constant of 2 cm /dyne. ... Solution: Given parameters are. ... Example 2. Determine the force constant if a force of 100 N is stretching a spring by 0.8 m.Solution: Given parameters are.
How do you find mass using Hooke's Law?
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.
How do you find length in Hooke's Law?
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 find the length of a spring using Hooke's Law?
When a spring is stretched, the force exerted is proportional to the increase in length from the equilibrium length, according to Hooke's Law. The spring constant can be calculated using the following formula: k = -F/x, where k is the spring constant. F denotes the force, and x denotes the change in spring length.
How do you find length in Hooke's Law?
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 find length using Hooke's Law?
Hooke's Law Formula is given as.F = -K x. Where, ... Example 1. A spring is stretched by 10 cm and has a force constant of 2 cm /dyne. ... Solution: Given parameters are. ... Example 2. Determine the force constant if a force of 100 N is stretching a spring by 0.8 m.Solution: Given parameters are.
How do you find length a spring is stretched?
Hooke's Law tells us that the extension of the spring is directly proportional to the stretching force:F=kx.F=mg=0.04×9.81=0.3924N.∴ 0.3924=30×x.x=0.392430=0.01308m.0.20+0.01308=0.21308m.=21.3cm.
1.Can Spring Constant Take A Value Of Zero, or Can It Be Negative?
According to Hooke’s law,F= -kxHere, the negative sign tells us that the force applied by the spring will always be on the opposite side of the for...
2.What Happens To The Value Of Spring Constant When Several Springs Are Connected In Series Or Paral...
When springs are connected in series the force acting on both the springs will be equal, which is in turn equal to the external force. Consider two...
3.What is the Definition of Spring Constant?
The spring constant is that the force insists on stretching or compressing a spring, divided by the space that the spring gets longer or shorter. I...
4. What is the concept of Spring Force?
For the Springs, there is a position at which they are neutral. When they are stretched or compressed, afterward there is a restoring force that wi...
5.What are springs used for?
Scooping a ballpoint pen (one of the notables with a button you can click to retract the ball) and you will discover a spring on the inside. Take a...
Spring Constant Calculator with Hooke's Law Equation
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What is meant by the spring constant, k, of a spring? How would ... - Quora
Answer: This sounds pretty darn close to a homework problem, but tonight I’m ok with that. You can think of the spring constant as a spring’s stiffness, or ability to resist being pulled or compressed. For example, the spring in a mechanical pencil would have a low k, a spring in your mattress w...
What is the unit of spring constant?
The spring constant unit is in terms of Newton per meter (N/m).
What does a spring constant mean?
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.
What does the image of the spring show?
The image shows the movement of the spring when force is applied to one side.
What is the force of a spring?
The load applies a force of 3500N on the spring. Hence the spring will apply an equal and opposite force of – 3500N.
What is the unit of force given as Newton?
Now we know that the unit of force is given as Newton (N), or as kg m/s2.
When force is applied on an object, it tends to deform in some way.?
Now we know that when force is applied on to an object, it tends to deform in some way. Consider a spring, when we apply force on one side of the spring, it will get compressed, as they are elastic. At this time the spring exerts its force in the direction opposite to the applied force, to expand to its original size.
How does Hooke's law relate to springs?
Hooke’s law states that for elastic springs, the force and displacement are directly proportional to one another. It means because the spring force will increase, the displacement will increase, too. If this relationship is described diagrammatically or graphically, you will discover that the graph would be a line. Its inclination depends on the constant of proportion, referred to as the spring constant. It cannot be a negative value. Some materials don’t seem to be elastic as they’re brittle and can snap before they bend or stretch. Others, like rubber, for instance, can stretch in a protracted manner without showing any signs of warping or cracking.
Why is the spring constant always greater than zero?
Despite the sign in the Hooke’s law equation, the spring constant is always greater than zero because the slope in the Hooke’s law graph is always positive.
Why are springs elastic?
Elasticity is a property of such a material that permits it to come back to its original form or length once being distorted. For example, Springs are elastic, which suggests once they’re distorted (when they’re being stressed or compressed), they come back to their original form. Springs are found in several objects that we use in our daily life. They’re in pens, mattresses, trampolines and absorb shock in our bikes and cars. Therefore, determining the spring constant is an important parameter. The materials are stretchable because they contain long-chain molecules bound up in a bundle and might straighten out once stretched.
How to find slope of a graph?
Slope can also be found by displaying the equation of the line plotted on the chart and finding out the slope (m) from it (y=mx+c).
How to get Hooke's law?
The most common method to get values for a graph representing Hooke’s law is to suspend the spring from a hook and connect a series of weights whose values are weighted accurately . To plot a line, take a minimum of 2 measurements; however, additional measures are preferred.
Why are materials stretchable?
The materials are stretchable because they contain long-chain molecules bound up in a bundle and might straighten out once stretched. This article will enable you to understand the constant spring formula, how to calculate the spring constant step by step, and give practical examples of where it can be implemented.
What is the spring constant?
What is Spring Constant. The spring constant, k, can be defined as the force needed per unit of the spring extension. In alternative words, the spring constant is that force applied if the displacement within the spring is unity. It tells us about the stiffness of the spring. The spring constant unit is a vital material property ...
Spring Constant Dimensional Formula
Example 1 A spring with load 5 Kg is stretched by 40 cm. Determine its spring constant. Solution: Given: Mass m = 5 Kg
Solved Examples
Example 1 A spring with load 5 Kg is stretched by 40 cm. Determine its spring constant. Solution: Given: Mass m = 5 Kg
How to find elastic potential energy?
The elastic potential energy is equal to the work done (ignoring losses to heat or other wastage), and you can easily calculate it based on the distance the spring has been stretched if you know the spring constant for the spring. Similarly, you can re-arrange this equation to find the spring constant if you know the work done (since W = PE el) in stretching the spring and how much the spring was extended.
What is the key constant of proportionality?
The key constant of proportionality in the law is the spring constant , and learning what this tells you, and learning how to calculate it, is essential to putting Hooke’s law into practice.
What happens to an elastic material after a force is removed?
This intuitive understanding – that an elastic material returns to its equilibrium position after any applied force is removed – is quantified much more precisely by Hooke’s law .
What is the energy that is stored in a spring?
Elastic potential energy is another important concept relating to Hooke’s law, and it characterizes the energy stored in the spring when it’s extended or compressed that allows it to impart a restoring force when you release the end. Compressing or extending the spring transforms the energy you impart into elastic potential, and when you release it, the energy is converted into kinetic energy as the spring returns to its equilibrium position.
What happens when you compress a spring?
When you compress or extend a spring – or any elastic material – you’ll instinctively know what’s going to happen when you release the force you’re applying: The spring or material will return to its original length.
What does the minus sign mean in Hooke's law?
As always, the choice of the “positive” direction is always ultimately arbitrary (you can set the axes to run in any direction you like, and the physics works in exactly the same way), but in this case, the negative sign is a reminder that the force is a restoring force. “Restoring force” means that the action of the force is to return the spring to its equilibrium position.
What is the extra term for the spring constant?
The extra term, k , is the spring constant. The value of this constant depends on the qualities of the specific spring, and this can be directly derived from the properties of the spring if needed. However, in many cases – especially in introductory physics classes – you’ll simply be given a value for the spring constant so you can go ahead and solve the problem at hand. It’s also possible to directly calculate the spring constant using Hooke’s law, provided you know the extension and magnitude of the force.