From what I have learned, you can calculate what the angular velocity of an object will be based on its potential energy.
Say there is a situation where:
acceleration due to gravity = 10 m/s²
friction = infinite (object is in pure rolling motion)
we know objects current state (velocity, angular velocity, etc..)
- slope angle = 13° above horizontal
And I need to find:
- objects angular velocity one second from current time
As you can see, I don't think I can use the potential energy conversion formula (maybe I can, but I am not seeing it).
Is there a way that I could find the 'future' angular velocity (in this case 1 second ahead) by just knowing the current 'state' of the object and that gravity will be affecting it?
In my physics simulation, I find that given these values:
- gravity = g = 10 m/s²
- friction = μ = infinite
- radius of sphere = r = 0.5m
- angle of incline = θ = 13°
The angular acceleration is roughly 3 radians/s².
I just realized that if I could find the angular acceleration, I could then predict the angular velocity. Could someone help me find a formula to get the angular acceleration, with just knowing these values?