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- 20. A disk with radius 50.0 [m] rotates at a rate of 1.50 [rad/s]. What is the tangential speed at the edge of the disk? A. 0.03 [m/s] C. 33.3 [m/s] B. 8.66 [m/s] D. 75.0 [m/s]3 1. A uniform solid sphere rolls without slipping down a 28° inclined plane. What is the acceleration of the sphere's center of mass? The moment of inertia of a uniform solid sphere about an axis that passes through its center = mr². The moment of inertia of a uniform solid sphere about an axis that is tangent to its surface = 7/5mr². m/s² E D C 4 22 R F % 5 V T G tv B MacBook Air 22 Y H 7 5 N 00 8 ZA 3 ( 9 K MOSISO O O V P command DUI 04 M option6. A uniform disk turns at 3.3 rev/s around a frictionless central axis. A nonrotating rod is dropped onto the disk. The rod has the same mass as the disk and length equal to the diameter of the disk. The two objects then turn together at the same rate with the centers lined up vertically. What is the new angular velocity (in rad/s) and new angular frequency (in rev/s)?
- A fan blade is rotating with a constant angular acceleration of +11.2 rad/s2. At what point on the blade, as measured from the axis of rotation, does the magnitude of the tangential acceleration equal that of the acceleration due to gravity? iA rotating wheel requires 3.0 seconds to rotate through 233.0 radians. Its angular speed at the end of the 3.0-second interval is 98.0 rad/s. Find: a. The angular speed at the beginning of the 3.0-second interval. b. The constant angular acceleration of the wheel.Bob rolls a hollow sphere with a mass M = 6.82 kg and radius R = 10.9 cm up a hillside, giving it an initial kinetic energy of Ki. It rolls over the top of the hill of height h and keeps going. The ball rolls without slipping the whole way, but it loses Wnc due to non-conservative forces between the foot of the hill and the top. a. Find its rotational inertia. b. Given the height of the hill is h = 1.6 m, and Ki = 135 J, find the total kinetic energy Ktot at the top of the hill. c. Find the translational velocity at the top of the hill.
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