A model is 14.5 kg and it is supported by four identical springs. Each spring can oscillate with a frequency of 3Hz. What is the value of the spring constant?
To find the value of the spring constant, we need to use the equation for the frequency of an oscillating spring:
f = 1 / (2π) * √(k / m)
Where:
f = frequency of oscillation
k = spring constant
m = mass of the object attached to the spring
In this case, we know the frequency (f) is 3 Hz and the mass (m) is 14.5 kg. We can rearrange the equation to solve for the spring constant (k):
k = (2π)^2 * m * f^2
Now we can substitute the given values into the equation:
k = (2π)^2 * 14.5 kg * (3 Hz)^2
Calculating this using a calculator, the value of the spring constant (k) is approximately 823.72 N/m.
Therefore, the value of the spring constant is approximately 823.72 N/m.