How to calculate the extension of a spring?

In summary, the formula for calculating the extension of a spring is extension = (force applied to the spring)/(spring constant). The spring constant, represented by the letter "k", is a measure of the stiffness of a spring and is unique to each spring. To measure the force applied to the spring, a force measuring device such as a spring scale is needed. The units used for the spring constant depend on the units used for the force and extension. This formula can be used for any type of spring within the elastic limit and assuming the spring is linear.
  • #1
abruzzi112
1
0
I usually have problems regarding Hooke's law and stuff. Please help me with the question below.. I came across it when I was doing my revision.
An explanation will be appreciated.
Thanks!

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  • #2
This is homework-like. What have you tried?

The problem states that the springs are identical. It may help to pick an arbitrary spring constant and call it k. What is the effect of extending the first two springs by a distance x?

It may also help to recall that the sine of 30 degrees is 0.5
 

FAQ: How to calculate the extension of a spring?

What is the formula for calculating the extension of a spring?

The formula for calculating the extension of a spring is: extension = (force applied to the spring)/(spring constant).

What is the spring constant?

The spring constant is a measure of the stiffness of a spring, and it is represented by the letter "k". It is a constant value that is unique to each spring and is determined by factors such as the material and shape of the spring.

How do I measure the force applied to the spring?

To measure the force applied to the spring, you will need a force measuring device such as a spring scale. Simply attach the spring to the scale and pull on it to determine the force applied.

What units are used for the spring constant?

The units used for the spring constant depend on the units used for the force and extension. For example, if the force is measured in Newtons and the extension is measured in meters, then the units for the spring constant will be N/m (Newtons per meter).

Can I use this formula for any type of spring?

Yes, this formula can be used for any type of spring as long as the force applied to the spring is within the elastic limit, meaning the spring is not permanently deformed. It also assumes that the spring is linear, meaning its extension is directly proportional to the applied force.

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