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Angular velocity of a bicycle wheel
A cyclist is moving at 20 m/s and the wheels are turning without slipping. If the wheels have a radius of .25 m, what is the angular velocity of the wheel?
Does without slipping just mean that there is no friction? And should I use a_c=r*w^2 for this, I don't know what other equation to use?
Customer support service by UserEcho
1st question:
Yes, without slipping means there is no friction
2nd question:
If you use your proposed method you would need to set it up in such a way where you would find a force to evaluate the centripetal force.
However, a better method would be to find how many turns the wheel has to make before the person can go that velocity (distance per second).
In other words, compare the circumference and the distance the person travels in a second. Then, use that information to give you the number of turns per second. Convert that to radians per second (units of angular velocity).