Calculate the rotational inertia of a meter stick, with mass 0.646 kg, about an axis perpendicular to the stick and located at the 27.8 cm mark. (Treat the stick as a thin rod.) Number i Units
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A: 1) Rotational inertia = (1/2)MR2 = (1/2)(109)(1.3*1.3) = 92.1 kg m2
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- 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 machine part rotates at an angular speed of 0.32 rad/s; its speed is then increased to 2.6 rad/s at an angular acceleration of 0.90 rad/s2. Find the angle through which the part rotates before reaching this final speed. radComputation. Mounted for repair, a 3.4-kg bicycle tire has a radius of 32 cm. It rotates through an angle of 23.9 rad as it slows uniformly from 28.9 rad/s to 17.7 rad/s. Find the magnitude of its angular acceleration. a = rad/s² Record your numerical answer below, assuming three significant figures. Remember to include a "_" as necessary. O Search C &
- In the figure, what magnitude of force F applied horizontally at the axle of the wheel is necessary to raise the wheel over an obstacle of height h = 0.356 m? The wheel's radius is r = 0.662 m and its mass is m = 1.71 kg. %3D Number i UnitsTwo people start at the same place and walk around a circular lake in opposite directions. One has an angular speed of 2.05 x 10-3 rad/s, while the other has an angular speed of 3.78 x 10-3 rad/s. How long will it be before they meet? Number i Start Units 02 0₁ EndThe 47-kg flywheel has a radius of gyration of ko = 300 mm about its center of mass. (Figure 1) Figure Part A W = If it is subjected to a torque of M = (90¹/2) N m, where is in radians, determine its angular velocity when it has rotated 3 revolutions, starting from rest. Express your answer to three significant figures and include the appropriate units. μà Value Submit Request Answer www. ? M = (9 0¹/2) N.m Units 1 of 1
- find the angular acceleration. Needs Complete typed solution with 100 % accuracy.The body in the figure is pivoted at O, and two forces act on it as shown. If r₁ = 2.15 m, r2 = 3.74 m, F₁ = 3.80 N, F₂ = 3.37 N, 0₁ = 65.0°, and 02 = 59.0%, what is the net torque about the pivot? Number i UnitsA Ferris wheel rotates at an angular velocity of 0.24 rad/s. Starting from rest, it reaches its operating speed with an average angular acceleration of 0.024 rad/s2. How long does it take the wheel to come up to operating speed? Number i Units
- A rotating door is made from four rectangular glass panes, as shown in the figure. The mass of each pane is 93.5 kg. A person pushes on the outer edge of one pane with a force of F = 88.2 N that is directed perpendicular to the pane. Determine the magnitude of the door's angular acceleration. Number i Units 1.2 m > 1.2 mA flywheel of mass 186 kg has an effective radius of 0.620 m assume that the mass is concentrated along a circumference located at the effective radius of the flywheel What constant torque is required to bring the wheel from rest to an angular speed of 147 rev/min in a time interval of 30.0 s? answer in Nm3 significant digits