A ceiling fan is turned on and a net torque of 2.4 N-m applied to the blades. The blades have a total moment of inertia of 0.74 kg-m². What is the angular acceleration of the blades? Number i Units
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- A solid sphere with a radius of 0.37 and a mass 0.32 is set to rotate about its center. After a time of 11.8 s, its rotational kinetic is 22.9 J. What is its constant angular acceleration? The moment of inertia for a solid sphere is I =MR? %3DA figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65 s. What was her average angular velocity in radians/second? A 720rad/s B 19.3rad/s C 4? rad/s D 9.67 rad/s E 1107 rad/sA figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65 s. What was her angular displacement in radians? A 4 В D 720 E 2m
- A wheel (radius = 0.25 m) is mounted on a frictionless, horizontal axis. The moment of inertia of the wheel about the axis is 0.040 kg x m². A light cord wrapped around the wheel supports a 0.50-kg object as shown in the figure. The object is released from rest. What is the magnitude of the acceleration of the 0.50-kg object? 3.0 m/s² 3.4 m/s² 4.3 m/s² 3.8 m/s² 2.7 m/s²63. mmh A thin rod has a length of 0.25 m and rotates in a circle on a fric- tionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.32 rad/s and a moment of inertia of 1.1 X 10-³ kg · m². A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (mass = 4.2 x 10-3 kg) gets where it's going, what is the angular velocity of the rod?Suppose a yo-yo has a center shaft that has a 0.260 cm radius and that its string is being pulled. (a) If the string is stationary and the yo-yo accelerates away from it at a rate of 1.70 m/s2, what is the angular acceleration of the yo-yo in rad/s2? rad/s2 (b) What is the angular velocity in rad/s after 0.750 s if it starts from rest? rad/s (c) The outside radius of the yo-yo is 3.40 cm. What is the tangential acceleration in m/s2 of a point on its edge? m/s2
- A bicycle is rolling down a circular hill that has a radius of 7.49 m. As the figure illustrates, the angular displacement of the bicycle is 0.960 rad. The radius of each wheel is 0.449 m. What is the angle (in radians) through which each tire rotates? Number i Units radA spherical shell with a mass of 1.43 kg and a radius of 0.39 m is rolling across the level ground with an initial angular velocity of 35.9 rad/s. It is slowing at an angular rate of 2.6 rad/s². What is its rotational kinetic energy after 4.7 s? The moment of inertia of a spherical shell is I = 글MR2A 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? Anc 75
- A dentist's drill starts from rest. After 3.40 s of constant angular acceleration it turns at a rate of 2.30 x 10 rev/min. (a) Find the drill's angular acceleration. rad/s2 (b) Determine the angle (in radians) through which the drill rotates during this period. radA spherical shell with a mass of 1.6 kg and a radius of 0.35 m is rolling across the level ground with an initial angular velocity of 37.7 rad/s. It is slowing at an angular rate of 4 rad/s². What is its rotational kinetic energy after 4.4 s? The moment of inertia of a spherical shell is I = MR²A solid sphere with a radius of 0.44 and a mass 0.26 is set to rotate about its center. After a time of 12.1 s, its rotational kinetic is 29.3 J. What is its constant angular acceleration? The moment of inertia for a solid sphere is I=2/5MR2