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Delvig [45]
3 years ago
9

Analogies exist between rotational and translational physical quantities. Identify the rotational term analogous to each of the

following: acceleration, force, mass, work, translational kinetic energy, linear momentum, impulse.
Physics
1 answer:
damaskus [11]3 years ago
4 0

Explanation:

Acceleration. Angular acceleration: Is the rate of change of the angular velocity of a body with respect to time.

Force. Torque: Is also called rotational force, since an applied torque will change the rotational motion of a body.

Mass. Moment of inertia: It is the resistance that opposes a body to rotates.

Work. Work: In a rotational motion, the work is done by the torque.

Translational kinetic energy. Rotational kinetic energy: is the kinetic energy due to the rotational motion of a body.

Linear momentum. Angular momentum: Represents the quantity of rotational motion of a body.

Impulse. Angular impulse: Is the change in angular momentum of a body.

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An inductor in an LC circuit has a maximum current of 2.4 A and a maximum energy of 56 mJ.
Harrizon [31]

Answer:

The energy stored in the capacitor, when the current in the inductor is 1.2 A, is 41.6 mJ.

Explanation:

In a LC oscillating circuit, the energy is stored in the electric field (between the plates of the capacitor) and in the magnetic field (surrounding the wires of the inductor).

At any time, the sum of both energies can be expressed as follows:

E = 1/2 Q² / C   +  1/2 L I²

In this type of circuit, energy oscillates, which means that it is exchanging between both fields all time.

When the capacitor is completely discharged, all the energy is stored in the magnetic field, and at that time, the current is maximum.

The total energy, when I is maximum, can be written as follows:

E = 1/2 L I² (1)

In our case, when I= 2.4A, E= 56 mJ.

So, we can find out the value of L, which will allow us to know the value of the magnetic energy at any time, having the value of the instantaneous current.

Solving for L in (1):

L = 2 *.56 mJ / (2.4)² A² = 20 mH

The next step is getting the value of the energy stored in the inductor, when I = 1.2 A, as follows:

Em = 1/2 *20 mH.* (1.2)² A² = 14.4 mJ

As the total energy must be always the same, i.e., 56 mJ, the energy stored in the capacitor, assuming no losses, must be the difference between the total energy and the one stored in the magnetic field:

Ec = 56 mJ - 14.4 mJ = 41.6 mJ

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Answer:

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Each displacement occurs with respect to the previous one, indicating the magnitude of the displacement and its direction.

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