One question about rotational speed

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SUMMARY

The problem involves a casino roulette wheel spinning at an initial angular speed of 15 rad/s, while a ball spins in the opposite direction at 20 rad/s. The wheel experiences a frictional angular deceleration of 5 rad/s². After 3 seconds, the ball passes the "00" position multiple times, calculated by determining the relative angular speeds and the total angular displacement of both the wheel and the ball.

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Homework Statement




A casino roulette wheel is set spinning with an initial angular speed of 15 rad/s. The ball is set spinning in the opposite direction with a constant angular speed of 20 rad/s as the
"00" passed by. If friction makes the wheel slow down with an angular acceleration of 5 rad/s^2, How many times does the ball pass by the "00" after 3 seconds? ( Ignore the slowing down of the ball due to friction. )


thx so much... could somebody help me to solve this quesion?
 
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