# Finding mass of spring from time period.

• amk_dbz
In summary, the task at hand is to find the mass of a spring (m*) by using a graph of time period (T)^2 against the mass of a block (M) attached to the bottom of the spring. The formula provided in the practical handbook is T^2= [16{(pi)^2}(R^3)N][M+(m*/3)] / [(r^4)n], but there is no explanation of the variables N, n, R, and r. By plugging in T=0, it can be determined that the mass of the spring is equal to 3 times the x intercept. This formula is derived from considering the kinetic energy of the spring, which has its own mass
amk_dbz
As the title suggests, there is a practical in which we have to find mass of the spring (m*) having a block of mass M attached to bottom, from GRAPH of time period (T)^2 against M.
Here's what the practical handbook says:
T^2= [16{(pi)^2}(R^3)N][M+(m*/3)] / [(r^4)n]
there is no reference to what is N,n,R,r
What they do next is to plug in T=0
therefore, M+(m*/3)=0
=> m*/3=-M
Considering magnitude, m*=3(x intercept)

The last part makes some sense but, where does the formula come from?

Thank you! (Sorry for being messy)

## 1. How do you find the mass of a spring from its time period?

To find the mass of a spring from its time period, you can use the equation T = 2π√(m/k), where T is the time period, m is the mass of the spring, and k is the spring constant. Rearranging this equation, we get m = (T/2π)^2 * k.

## 2. What is the relationship between time period and mass of a spring?

The time period and mass of a spring have an inverse relationship. This means that as the mass of the spring increases, the time period decreases, and vice versa. This is because a heavier spring will take longer to oscillate back and forth compared to a lighter spring.

## 3. Can the mass of a spring affect its time period?

Yes, the mass of a spring can affect its time period. As mentioned in the previous question, the two have an inverse relationship. This means that any changes in the mass of the spring will result in changes in the time period as well.

## 4. What is the unit for mass in the equation for finding the mass of a spring from its time period?

The unit for mass in the equation is kilograms (kg). This is because the standard unit for mass in the SI system is kilograms, and it is also commonly used in scientific equations.

## 5. Can the time period of a spring be used to determine its mass?

Yes, the time period of a spring can be used to determine its mass, as long as the spring constant and any external factors are kept constant. This is because the equation for finding mass from time period involves the mass and other known variables, making it possible to solve for the mass using the given time period.

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