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# Converting Between Linear & Rotational

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Sections
Rotational Position & Displacement
Rolling Motion (Free Wheels)
Equations of Rotational Motion
More Connect Wheels (Bicycles)
Intro to Connected Wheels
Converting Between Linear & Rotational
Rotational Velocity & Acceleration
Types of Acceleration in Rotation

Concept #1: Converting Between Linear & Rotational

Transcript

Example #1: Length of string rotating point mass

Transcript

Practice: A disc of radius 10 m rotates around itself with a constant 180 RPM. Calculate the linear speed at a point 7 m from the center of the disc.

Practice: A rock rotates around a light, 4-m long string. The rock is initially at rest, but reaches 150 RPM in 3 seconds. Calculate its tangential acceleration after 3 s.

BONUS: Calculate its tangential speed after 3 s.

Practice: A 4 m long blade initially at rest begins to spin with 3 rad/s2 around its axis, which is located at the middle of the blade. It accelerates for 10 s. Find the tangential speed of a point at the tip of the blade 10 s after it starts rotating.