I am given a damping constant of 20 dyne*sec/meter...do I need to convert this if the rest of my givens are, for mass = 2kg, k (spring constant) = 82 N/m.
I am trying to find the equation of motion of a spring but cannot solve it until I know how to convert/if I need to convert.
Thanks.
It will convert 20 dyne= .0002Newton
ok thanks!
You're welcome! It seems like you're trying to find the equation of motion of a spring, and you're unsure if you need to convert the given damping constant.
In this case, it is important to ensure that all your units are consistent. The given damping constant is in dyne*sec/meter, while the mass and spring constant are given in kg and N/m respectively.
To make sure the units are consistent, you should convert the damping constant to Newton-seconds/meter (N*sec/m).
To do this conversion:
1 dyne = 0.00001 Newton (N)
Multiply the given damping constant by the conversion factor to get the equivalent value in Newton-seconds/meter.
20 dyne*sec/meter * 0.00001 N/dyne = 0.0002 N*sec/meter
So, the converted damping constant is 0.0002 N*sec/meter.
Now that all the units are consistent, you can proceed with solving the equation of motion of the spring.
You're welcome!
To convert the damping constant from dyne*sec/meter to Newton-second/meter, you can use the conversion factor:
1 dyne = 0.00001 Newton
Given that the damping constant is 20 dyne*sec/meter, you can convert it to Newton-second/meter using the conversion factor as follows:
20 dyne*sec/meter * 0.00001 Newton/dyne = 0.0002 Newton-second/meter
So, the damping constant is equivalent to 0.0002 Newton-second/meter.