A wheel 31 cm in diameter accelerates uniformly from 235 rpm to 370 rpm

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How far will a point on the edge of the wheel have traveled in this time?

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Step 1:

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The diameter of a wheel is $\"\"$ .

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The wheel uniformly accelerates from $\"\"$ to $\"\"$ .

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The initial angular velocity is $\"\"$ .

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The final angular velocity is $\"\"$ .

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The time is $\"\"$ .

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The angular acceleration is $\"\"$ .

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$\"\"$ .

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The angular displacement is $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$

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The total distance around the circumference is $\"\"$ .

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$\"\"$

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$\"\"$ .

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The angular displacement is $\"\"$ .

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Where $\"\"$ is initial angular velocity, $\"\"$ is final angular velocity and $\"\"$ is time.

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$\"\"$

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