Question

A wheel (R = 0.69 meters) begins at rest and undergoes constant rotational acceleration where α...

A wheel (R = 0.69 meters) begins at rest and undergoes constant rotational acceleration where α = 5.25 rad/s2. If the wheel can smoothly roll across a flat surface, how far in meters will the wheel have traveled after 4.1 seconds?

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Answer #1

Let the wheel travels a distance of D.

Given that the initial angular speed is 0 rad/s.

The radius of the wheel is R=0.69 m.

The initial speed of the wheel is u=0 m/s.

The time t=4.1 s.

The angular acceleration =5.25 rad/s2.

Let the tangential acceleration is a.

The wheel traveled after 4.1 seconds is

  

  

  

The wheel traveled after 4.1 seconds is  30.4471125 meters or 30.45 meters approximately.

  

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