1. A wheel has a radius of 4.1 m. How far (path length) does a point on the wheel travel if the wheel is rotated through angles of 30◦ , 30 rad, and 30 revolutions, respectively?

a) 2.15 m

b) 123 m

c) 772.8 m

Explanation:

Circular Motion

One point located at a distance r from the center of rotation travels a distance L given by the arc length :

Where is the angle formed during the rotation.

The wheel described in the question has a radius r=4.1 m and a point on the wheel rotates some angles given in each part:

a)

Calculating L

b)

c)

car a and b are moving in opposite directions

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