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12. Rotational Kinematics

Converting Between Linear & Rotational

12. Rotational Kinematics

Converting Between Linear & Rotational

Multiple Choice
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.
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Multiple Choice
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.
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Multiple Choice
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.
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Multiple Choice
A bicycle wheel has two clumps of mud stuck to it: Clump A is stuck to the outer edge of the tire, and clump B is stuck to the spokes, 2/3 of the way out from the center. What are the ratios of the speeds and angular speeds of the two clumps: $v_{A} / v_{B}$ and $ω_{A} / ω_{B}$ ?
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