Question

a bicycle wheel has a 0.20 m in radius and rolls without slipping. the person riding the bicycle starts from rest and constantly accelerates until they are moving at 12.0 m/s. the bike tire accelerates at a rate of 0.30 rad/s² . find how many times the bike tire rotates using:

Answer 1

To find out how many times the bike tire rotates, use the formula: Number of revolutions = (final angular velocity - initial angular velocity) / (2π).

Step-by-step explanation:

To find out how many times the bike tire rotates, we can use the formula:

Number of revolutions = (final angular velocity - initial angular velocity) / (2π)

Given that the radius of the bicycle wheel is 0.20 m and the tire accelerates at a rate of 0.30 rad/s², we can calculate the initial angular velocity using:

Initial angular velocity = 0

Next, we can calculate the final angular velocity using:

Final angular velocity = (acceleration * time) + initial angular velocity

Substituting the given values, we get:

Final angular velocity = (0.30 rad/s² * time) + 0

Finally, we can substitute the values for the final angular velocity and initial angular velocity into the formula to calculate the number of revolutions.