12. Rotational Kinematics
Converting Between Linear & Rotational
12. Rotational Kinematics
Converting Between Linear & Rotational
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- 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.
760views11rank - 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.
725views9rank2comments - 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.
714views8rank2comments - Multiple ChoiceA 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: and ?696views1rank
- Textbook QuestionFlywheels—rapidly rotating disks—are widely used in industry for storing energy. They are spun up slowly when extra energy is available, then decelerate quickly when needed to supply a boost of energy. A 20-cm-diameter rotor made of advanced materials can spin at 100,000 rpm. a. What is the speed of a point on the rim of this rotor?402views
- Textbook QuestionA Ferris wheel of radius R speeds up with angular acceleration starting from rest. Find expressions for the (a) velocity and (b) centripetal acceleration of a rider after the Ferris wheel has rotated through angle ∆θ.450views
- Textbook QuestionA typical laboratory centrifuge rotates at 4000 rpm. Test tubes have to be placed into a centrifuge very carefully because of the very large accelerations. a. What is the acceleration at the end of a test tube that is 10 cm from the axis of rotation?799views1rank
- Textbook QuestionCompact 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.445views