I have to calculate the arc length in radians that a circle spinning at speed will travel when it decelerates to $0$.
I have the initial angular velocity in rad/s, the radius in meters, the mass in kg, and the decelerating Force acting on it in N.
I know that in a linear problem it would be initial velocity squared over 2 x acceleration but not sure what it would be here as we're dealing with torque and angular components. Can someone walk me through the equations to use?
I think the equation I should be using is $S = 0.5 a t^2$ where t is found with angular velocity over deceleration, but I don't know how to get deceleration using the torque equations instead of the linear $F=ma$.