Angular velocity and bicycle wheel

AI Thread Summary
To determine the angular velocity of a bicycle wheel with a 60 cm diameter traveling at 20 km/h, first calculate the wheel's circumference, which is approximately 1.884 meters. The linear velocity of the bicycle translates to the speed of the wheel's rim, allowing for a relationship between linear and angular velocity. By establishing how many times the wheel rotates over a given distance, one can derive the angular velocity in radians per second. Understanding these relationships is crucial for solving the problem effectively.
JoeSouthern
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I am a little stuck with angular velocity and I do not know where to start on this one question.

A bicycle wheel has a diameter 60 cm. Determine its angular velocity in radians per seconds, when the bicycle travels at 20km/h

Could somebody please help as to where to start

Very much appreciated.
 
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You have to start. The speed of the bicycle determines the linear velocity of the rim relative to the center. Now find a relation between that and angular velocity.
 
Can you find the circumference of the wheel? If the wheel turns x times, how far does the bicycle go?
 
If I would drive 5 meters with my bicycle, then you could imagine that you will make the same path on the circumference of the wheel. Imagine your tires being stretched out flat on the road.
 
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