What is this formula for?/What is it called?

[Latsabb]

I have a formula, S*r=1/2*m*r^2*a/r

The problem is that it is unlabeled, and I am not 100% sure what this is supposed to be for. As near as I can tell, it is for something with inertia, and involving tension on a wire coiled around a cylinder. Is this correct? Does anyone know if this is simply a derived equation for a specific problem, or a general use equation? Thank you.

 

[Borek]

r cancels out.

 

[Latsabb]

I know, but this is a formula that was supplied for a problem, and I am attempting to figure out what everything is. I think I have it narrowed down that S*r is supposed to be torque, and everything else on the right is supposed to represent inertia times the angular momentum, but I am not sure.

 

[cosmosmike]

You are on the right track, I see it as torque = (moment of inertia) x angular acceleration.
S is force, r is radius, 1/2 m rsq is moment of inertia, and a is linear acceleration, a/r is angular acceleration.

 

[pmacias]

Thank you for sharing your formula. Based on the variables and their units, it appears that this formula is related to rotational motion. The "S" likely represents the arc length, "r" represents the radius, "m" represents the mass, and "a" represents acceleration. The "1/2" in the equation suggests that it may be related to the moment of inertia of a rotating object. However, without more context or information, it is difficult to determine the exact purpose or name of this formula. It is possible that it is a derived equation for a specific problem or a general use equation, but further investigation and analysis would be needed to determine this.