The rotor of an electric motor has rotational inertia I_m = 4.41 times 10^-3 kg middot...
The rotor of an electric motor has rotational inertia Im = 2.82 x 103 kg-mabout its central axis. The motor is used to change the orientation of the space probe in which it is mounted. The motor axis is mounted along the central axis of the probe; the probe has rotational inertial, = 14.2 kg.m2 about this axis. Calculate the number of revolutions of the rotor required to turn the probe through 31.5° about its central axis. Number Units
The rotor of an electric motor has rotational inertia Im = 4.54 x 10-3kg.m2 about its central axis. The motor is used to change the orientation of the space probe in which it is mounted. The motor axis is mounted along the central axis of the probe; the probe has rotational inertia l = 14.3 kg.m² about this axis. Calculate the number of revolutions of the rotor required to turn the probe through 18.4° about its central axis. Number Units
A turntable with a rotational inertia 0.215 kg middot m^2 is rotating at 3.35 rad/s. Suddenly, a disk with rotational inertia 0.106 kg times m^2 is dropped onto the turntable with its center on the rotation axis. Assuming no outside forces act, what's the common rotational velocity of the turntable and disk?
A sanding disk with rotational inertia 5.8 x 10 kg m2 is attached to an electric drill whose motor delivers a torque of magnitude 20 N-m about the central axis of the disk. About that axis and with torque applied for 42 ms, what is the magnitude of the (a) angular momentum and (b) angular velocity of the disk? (a) Number Unii (b) Number Units
10. The angular momentum of a flywheel having a rotational inertia of 0.140 kg m2 about its central axis decreases from 3.00 to 0.800 kg m'/s in 1.50 s. (a) What is the magnitude of the average torque acting on the flywheel about its central axis during this period? (b) Assuming a constant angular acceleration, through what angle does the flywheel turn? (c) How much work is done on the wheel? (d) What is the average power of the flywheel?...
The rotor (flywheel) of a toy gyroscope has a mass of 0.165 kg. Its moment of inertia about its axis is 1.15 × 10-4 kg-m2 The mass of the frame is 0.0275 kg. The gyroscope is supported on a single pivot (see the figure below (Figure 1) with its center of mass a horizontal distance of 3.80 cm from the pivot. The gyroscope is precessing in a horizontal plane at the rate of 1 revolution in 2.50 s Part A...
Calculate the rotational inertia of a meter stick, with mass 0.567 kg, about an axis perpendicular to the stick and located at the 35.2 cm mark. (Treat the stick as a thin rod.) Number Units the tolerance is +/-2%
a. The moment of inertia of the reaction wheels has a value RI and the moment of inertia of the telescope about its symmetry axis, and about an axis perpendicular to its symmetry axis is represented by Iz and Ix , respectively. Find an expression for the final speed of the appropriate reaction wheel wRf to cause the telescope to change its direction at a rate of wt for a nominal (i.e. idling) rotational speed of the flywheels of wRi...
The oxygen molecule, O2, has a total mass of 5.30×10-26 kg and a rotational inertia of 1.94×10-46kg-m2 about an axis perpendicular to the center of the line joining the atoms. Suppose that such a molecule in a gas has a speed of 1.48×102m/s and that its rotational kinetic energy is two-thirds (2/3) of its translational kinetic energy. Find its angular velocity.
The uniform solid block in the figure has mass 45.5 kg and edge lengths a = 0.996 m, b = 1.47 m, and c = 0.0644 m. Calculate its rotational inertia about an axis through one corner and perpendicular to the large faces. Rotation axis Number Units the tolerance is +/-2%