What Equation Should I Use to Calculate the Damping Constant?

[akbalen]

I am given the following information:

A 2.20 kg mass oscillates on a spring of force constant 250.0 N/m with a period of 0.615 s,

and I am asked to find the damping constant. Can someone tell me what equation to use?

 

[quietrain]

i think its this equation

ω^2 = k/m - b^2 / 4m^2

where b is the damping coefficient

 

[sir-pinski]

To calculate the damping constant, you can use the equation:

b = (2πm)/T - k/m

where b is the damping constant, m is the mass, T is the period, and k is the force constant.

In this case, plugging in the values given, we get:

b = (2π*2.20 kg)/(0.615 s) - (250.0 N/m)/(2.20 kg)

b = 21.46 Ns/m

Therefore, the damping constant for this system is 21.46 Ns/m. This represents the amount of resistance or friction that is acting on the mass, causing it to lose energy and eventually come to a stop.