How to calculate the extension?

Author: Sylvan Casper  |  Last update: Friday, January 23, 2026

F = kx
  1. F = force applied to the object (N)
  2. k = spring constant (N/m)
  3. x = extension (or compression) of the object under the force applied (m)

What is the formula for calculating extension?

Calculate: extension = stretched length – original length.

How to find the total extension?

  1. Explanation: On applying Hooke's law, the solid extension is given by the formula:
  2. δ = (Pl)/(AE) Where, P = Force applied on the object = 400 KN = 4 × 10⁵ N (given) l = Length of the solid bar = 500 mm = 0.5 m (given) ...
  3. δ = (4 × 10⁵ × 0.5)/(0.012 × 2 × 10¹¹) δ = (2 × 10⁵)/(1 × 10¹¹)

How do you calculate extension rate?

Calculating the extension spring's rate (K) involves several factors, such as shear modulus (G), wire diameter (d), outer diameter (D), the number of active coils (na), Young's modulus (E), and Poisson's ratio (V). The formula is: k = Gd^4 /[8D^3 na], where G = E/2(1 + V) and d = D outer - d.

How to calculate the cost of an extension?

Generally, initial extension building costs are calculated based on your property's size and are worked out by multiplying the square footage by labour rates. This is often referred to as the 'cost per m2'. The number of storeys in your house.

Hooke's Law - GCSE Science Required Practical

What is the formula for extended cost?

In accounting, an extended cost is the unit cost multiplied by the number of those items that were purchased.

How do you calculate extension ratio?

elasticity. …the material), σ, and the extension ratio (difference between extended and initial lengths divided by the initial length), e. In other words, σ is proportional to e; this is expressed σ = Ee, where E, the constant of proportionality, is called Young's modulus.

How much to pay for an extension?

The average cost of a house extension is between £45,000 - £75,000. This guide is here to walk you through every step, ensuring you have all the information you need to make informed decisions. Keep in mind that the home extension costs in this article are correct as of 2024.

What is the formula for the extension of a material?

Force and Extension of an Object

F = force applied to the object (N) k = spring constant (N/m) x = extension (or compression) of the object under the force applied (m)

How to find the extension of a file?

In the search box on the taskbar, type file explorer, and in the search results, select File Explorer. In File Explorer under View, in the Show/hide group, select the File name extensions check box.

What is the formula for calculating expansion?

Linear thermal expansion is ΔL = αLΔT, where ΔL is the change in length L, ΔT is the change in temperature, and α is the coefficient of linear expansion, which varies slightly with temperature.

How is extension measured?

Remember - the extension measures how much the object has stretched by and can be found by subtracting the original length from each of the subsequent lengths.

What is the shortcut for extend formula?

Keyboard shortcut: You can also press Ctrl+D to fill the formula down in a column, or Ctrl+R to fill the formula to the right in a row.

What is the formula for extension?

Hooke's Law states that the force needed to compress or extend a spring is directly proportional to the distance you stretch it. As an equation, Hooke's Law can be represented as F = kx, where F is the force we apply, k is the spring constant, and x is the extension of the material (typically in meters).

How do you calculate extension length?

Analysis
  1. For each result, calculate the extension: extension = length - unloaded length.
  2. Plot a line graph with extension on the vertical axis, and force on the horizontal axis. ...
  3. Identify the range of force over which the extension of the spring is directly proportional to the weight hanging from it.

How do you calculate extended cost?

Extended cost is the number of units purchased multiplied by the unit cost.

How are extensions measured?

If you're shopping extensions on your own, we recommend taking a tape measure from the top of your ear down to your desired length to determine how many inches you need. Check yourself out in the mirror as you measure.

What is the 45 degree rule for extensions?

It's used by angling a 45-degree line from the bottom middle or corner of your neighbour's closest window to your proposed structure. That's it! If the proposed structure touches that line, then it's likely that it would cause a disagreeable amount of shadow to be cast onto your neighbour's home.

How do you use Measure It extension?

HOW IT WORKS • Click to the icon of app on the current web page. Draw ruler page and shows width, height, positioning of element. Click the icon again to exit the measurement.

How much does it cost to build a 400 sq ft?

The average cost per square foot for construction ranges from $125 to $300. Therefore, for a 400 sq ft house, you might be looking at $50,000 to $120,000 just for construction.

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