12. Rotational Kinematics

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Length of string rotating point mass

Relating angular and regular motion variables | Physics | Khan Academy

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.

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.

Compact Disc. A compact disc (CD) stores music in a coded pattern of tiny pits 10^-7 m deep. The pits are arranged in a track that spirals outward toward the rim of the disc; the inner and outer radii of this spiral are 25.0 mm and 58.0 mm, respectively. As the disc spins inside a CD player, the track is scanned at a constant linear speed of 1.25 m/s. (b) The maximum playing time of a CD is 74.0 min. What would be the length of the track on such a maximum-duration CD if it were stretched out in a straight line?

Anderson Video - Spinning Ice Skater

Rotational Motion

Rotational Motion: An Explanation, Angular Displacement, Velocity and Acceleration

Compact Disc. A compact disc (CD) stores music in a coded pattern of tiny pits 10^-7 m deep. The pits are arranged in a track that spirals outward toward the rim of the disc; the inner and outer radii of this spiral are 25.0 mm and 58.0 mm, respectively. As the disc spins inside a CD player, the track is scanned at a constant linear speed of 1.25 m/s. (c) What is the average angular acceleration of a maximumduration CD during its 74.0-min playing time? Take the direction of rotation of the disc to be positive.

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.&nbsp;BONUS:Calculate its tangential speed after 3 s.

An electric turntable 0.750 m in diameter is rotating about a fixed axis with an initial angular velocity of 0.250 rev/s and a constant angular acceleration of 0.900 rev/s^2. (c) What is the tangential speed of a point on the rim of the turntable at t = 0.200 s?

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: <math display=“inline”><mrow><msub><mi>v</mi><mtext>A</mtext></msub><mo>/</mo><msub><mi>v</mi><mi mathvariant="normal">B</mi></msub></mrow></math> and <math display=“inline”><mrow><msub><mi>&#x03C9;</mi><mtext>A</mtext></msub><mo>/</mo><msub><mi>&#x03C9;</mi><mi mathvariant="normal">B</mi></msub></mrow></math>?

Spinning Ice Skater | Physics with Professor Matt Anderson | M12-02

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15. Rotational Equilibrium

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31. Alternating Current

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