Finding spring constant by comparing to another spring

In summary, two objects of equal mass are oscillating in simple harmonic motion on two different vertical springs with spring constant of 186 N/m for spring 1. The amplitude of object 1 is 3 times that of object 2, but the maximum velocity is the same for both. The spring constant for spring 2 can be found by taking the square root of 186 divided by 3, giving a value of approximately 12.1 N/m.
  • #1
rasputin66
12
0
Objects of equal mass are oscillating up and down in simple harmonic motion on two different vertical springs. The spring constant of spring 1 is 186 N/m. The motion of the object on spring 1 has 3 times the amplitude as the motion of the object on spring 2. The magnitude of the maximum velocity is the same in each case. Find the spring constant of spring 2.

My work...

Aw=Aw
A(sqrt of k/m) = A(sqrt k/m)
(sqrt of 186) = 3 (sqrt of k)
(sqrt of 186)/3 = (sqrt of k)
[(sqrt of 186)/3] ^2 = k
I got 20.6 but this is wrong, Please help!
 
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  • #2
You're on the right track. You just got the springs mixed up. Do it over more carefully.
 
  • #3
OH MY GOD. What is wrong with me??

Thanks!
 

1. What is spring constant?

Spring constant, also called stiffness constant or force constant, is a measure of the stiffness of a spring. It is defined as the amount of force required to stretch or compress a spring by a certain distance.

2. How do you calculate spring constant?

Spring constant can be calculated by dividing the applied force by the displacement of the spring. This can also be represented as the slope of the force-displacement graph for the spring.

3. Why is it important to compare to another spring when finding spring constant?

Comparing to another spring helps to ensure accuracy and consistency in the measurement of spring constant. It also provides a reference point for comparison and allows for the identification of any errors in the measurement process.

4. What factors can affect the accuracy of determining spring constant by comparison?

The accuracy of determining spring constant by comparison can be affected by factors such as the quality and condition of the springs, the accuracy of the measuring instruments, and external factors such as temperature and humidity.

5. Can different types of springs have the same spring constant?

Yes, different types of springs can have the same spring constant if they have the same stiffness and are made of the same material. However, the size and shape of the spring can also affect its spring constant, so two different types of springs with the same stiffness and material may still have different spring constants.

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