I'm not sure, the answer in the back of the book is 0.71 kg/s. I think that I might need to use a different formula, but I'm not sure.BvU said:Helo Tyler,
With those equations you'll never be able to solve for the damping constant -- it doesn't appear !
Where do you think it should be sitting ?
Those are the equations assuming no damping. Maybe they aren't relative...BvU said:
So you can not use ##x = 0.1\cos(50t)## . The link I gave you should help you further...Tylerladiesman217 said:
A damping constant, also known as the damping coefficient or damping factor, is a parameter used in mathematical models to describe the rate at which a system loses energy. It is denoted by the letter b and is typically measured in units of force per velocity.
The damping constant is directly related to the motion of a system by affecting the rate at which the system's oscillations decrease over time. A higher damping constant means that the system will lose energy more quickly, resulting in smaller oscillations and a quicker return to equilibrium.
The formula for calculating the damping constant varies depending on the type of system being modeled. For example, for a damped harmonic oscillator, the damping constant can be calculated using the formula b = 2 * (mass * damping ratio * natural frequency), where the damping ratio is a dimensionless value between 0 and 1.
The damping constant is used in solving for motion equations by incorporating it into the differential equations that describe the system's motion. By solving these equations, we can determine the motion of the system over time and how it is affected by the damping constant.
The units of the damping constant depend on the units of the other parameters in the formula being used. For example, in the formula for a damped harmonic oscillator, the units of the damping constant would be in force per velocity (N*s/m or kg/s).