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Unformatted text preview: Rotation of a Rigid Object About a Fixed Axis 1 1. At t = 0, a wheel rotating about a fixed axis at a constant angular acceleration has an angular velocity of 2.0 rad/s. Two seconds later it has turned through 5.0 complete revolutions. What is the angular acceleration of this wheel? a. 17 rad/s 2 b. 14 rad/s 2 c. 20 rad/s 2 d. 23 rad/s 2 e. 13 rad/s 2 2. At t = 0, a wheel rotating about a fixed axis at a constant angular acceleration of 0.40 rad/s 2 has an angular velocity of 1.5 rad/s and an angular position of 2.3 rad. What is the angular position of the wheel at t = 2.0 s? a. 4.9 rad b. 4.7 rad c. 4.5 rad d. 4.3 rad e. 4.1 rad 3. A wheel rotating about a fixed axis has an angular position given by = 3.0 2.0 t 3 , where is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s? a. 1.0 rad/s 2 b. 24 rad/s 2 c. 2.0 rad/s 2 d. 4.0 rad/s 2 e. 3.5 rad/s 2 4. A wheel rotating about a fixed axis with a constant angular acceleration of 2.0 rad/s 2 turns through 2.4 revolutions during a 2.0-s time interval. What was the angular velocity at the end of this time interval? a. 9.5 rad/s b. 9.7 rad/s c. 9.3 rad/s d. 9.1 rad/s e. 8.8 rad/s 5. The turntable of a record player has an angular velocity of 8.0 rad/s when it is turned off. The turntable comes to rest 2.5 s after being turned off. Through how many radians does the turntable rotate after being turned off? Assume constant angular acceleration. a. 12 rad b. 8.0 rad c. 10 rad d. 16 rad e. 6.8 rad 6. A wheel rotates about a fixed axis with an initial angular velocity of 20 rad/s. During a 5.0-s interval the angular velocity increases to 40 rad/s. Assume that the angular acceleration was constant during the 5.0-s interval. How many revolutions does the wheel turn through during the 5.0-s interval? a. 20 rev b. 24 rev c. 32 rev d. 28 rev e. 39 rev 7. A wheel rotates about a fixed axis with an initial angular velocity of 20 rad/s. During a 5.0-s interval the angular velocity decreases to 10 rad/s. Assume that the angular acceleration is constant during the 5.0-s interval. How many radians does the wheel turn through during the 5.0-s interval? a. 95 rad b. 85 rad c. 65 rad d. 75 rad e. 125 rad 8. A wheel starts from rest and rotates with a constant angular acceleration about a fixed axis. It completes the first revolution 6.0 s after it started. How long after it started will the wheel complete the second revolution? a. 9.9 s b. 7.8 s c. 8.5 s d. 9.2 s e. 6.4 s 9. A thin uniform rod (length = 1.2 m, mass = 2.0 kg) is pivoted about a horizontal, frictionless pin through one end of the rod. (The moment of inertia of the rod about this axis is ML 2 /3.) The rod is released when it makes an angle of 37 with the horizontal. What is the angular acceleration of the rod at the instant it is released?...
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