After 10.0 s, a spinning roulette wheel at a casino has slowed down to an angular velocity of +1.82 rad/s.
During this time, the wheel has an angular acceleration of -4.25 rad/s2.
Determine the angular displacement of the wheel.
in rad
...
so is 1.82 rad/s the w0 or the wf?
and i'm trying to find theta i believe.
i think you gave me an infraction point because you mis understood my question, which is
what is theta ' what is the purpose in other words.
the theta with the '
not the answer!
there are two thetas?
okay i got it 231 rad
thankyou.
As always, start with a coordinate system. I'm going to set an origin for to be at the point where the 10 s time interval started. (There is a direction for the angular displacement, but I'm going to assume that you haven't seen this yet and skip it.)
Here's what we know:
?
?
We want . Typically I simply apply one of my four "master" equations to solve this kind of problem, but all of them depend on a value of :
(Since this kind of situation doesn't happen very often I don't keep an equation for it in my back pocket, as it were.)
So we need to use an equation to find , then use another to find .
Well:
And thus
-Dan