How Many Dynes to Change Length of Spring by 20cm?

In summary, the formula for calculating the number of dynes needed to change the length of a spring by 20cm is F = kx, where F is the force in dynes, k is the spring's stiffness constant in dynes per centimeter, and x is the change in length in centimeters. The stiffness constant of a spring can be determined by dividing the force applied by the change in length, and it may vary depending on the stiffness constant and applied force. The unit of measurement for the stiffness constant is dynes per centimeter (dyn/cm). Temperature can also affect the number of dynes needed to change the length of a spring by 20cm, as thermal expansion of the spring can decrease its stiffness and result
  • #1
tuffshorty
11
0
The question is... suppose it requires 100 dynes to change the length of a certain spring 5 cm. What force is required to change the length of the spring 20 cm?

Would you just multiply it... and say it would take 400 dynes?
 
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  • #2
Sounds good to me :smile: Springs are linear. If you wanted to be more formal about it, you could find the spring constant k from Fspring=k*x since you know Fspring and you know x.
 
  • #3
Okay, thank you! Just wanted to make sure i wasn't missing a formula somewhere
 

1. What is the formula for calculating the number of dynes needed to change the length of a spring by 20cm?

The formula for calculating the number of dynes needed to change the length of a spring by 20cm is F = kx, where F is the force in dynes, k is the spring's stiffness constant in dynes per centimeter, and x is the change in length in centimeters.

2. How do I determine the stiffness constant of a spring?

The stiffness constant of a spring can be determined by dividing the force applied by the change in length. This can be done by measuring the force and change in length for a known weight and then calculating the ratio. The average of multiple measurements can provide a more accurate result.

3. Can the number of dynes needed to change the length of a spring by 20cm vary?

Yes, the number of dynes needed to change the length of a spring by 20cm can vary depending on the stiffness constant of the spring and the magnitude of the applied force. It is important to note that the formula assumes the spring is linear and follows Hooke's law.

4. What is the unit of measurement for the stiffness constant in the formula?

The unit of measurement for the stiffness constant in the formula is dynes per centimeter (dyn/cm). This unit represents the amount of force required to change the length of a spring by one centimeter.

5. How does temperature affect the number of dynes needed to change the length of a spring by 20cm?

The number of dynes needed to change the length of a spring by 20cm may be affected by temperature if the spring is made of a material that is sensitive to temperature changes. As temperature increases, the stiffness of the spring may decrease, resulting in a lower number of dynes needed to change its length. This is known as thermal expansion and should be taken into consideration when conducting experiments with springs.

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