User:
Rotation
Description 
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Calculations
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Calculations
Variable
Given
Calculate
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Equation
To be used
Equations
If an object is at a distance equal to the radius ($r$) from an axis and rotates by ERROR:6066.1, which with the angle ($\theta$) and the initial Angle ($\theta_0$) is
| $ \Delta\theta = \theta_2 - \theta_1 $ |
it will have traveled an arc length the distance traveled in a time ($\Delta s$), which with the position ($s$) and the starting position ($s_0$) is
| $ \Delta s = s - s_0 $ |
This arc length can be calculated by multiplying the radius ($r$) by the angle, that is,
| $ \Delta s=r \Delta\theta $ |
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(ID 5302)
Examples
When describing a rotational motion, we cannot work with distance in the same way we do when describing translational motion.
• In this case, we must first determine the position of the axis (vector) of rotation.
• Then, we must determine the distance between the object and the axis of rotation.
• Finally, we must estimate the angle of rotation of the object around the axis.
In a rotational motion, the radius remains constant. Any changes in the radius are not part of the rotation, but rather a translation that the object may perform radially.
(ID 4967)
In physics, it is common to use radians instead of degrees to measure angles in rotations. This is because in these types of movements, the objects that orbit cover distances that correspond to arcs of a circle. To determine the velocity of the object, it is necessary to calculate the length of the arc covered, which is easy to do if the radius of the orbit and the angle covered in radians are known. For this reason, angles are generally measured in radians to avoid the need for constant conversion between degrees and radians when performing calculations of this type.
(ID 311)
In order to describe the movement of a body we must first indicate its orientation indicated with an angle at the time of observing it, that is, at the initial time.
(ID 6066)
ID:(42, 0)