Answer
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Hint: Angular velocity of an object undergoing any rotational motion with respect to any of the axes around the object will be the same as that of angular velocity about its centre of mass. These all will help you in finding the answer.
Complete answer:
Angular velocity of an object undergoing any rotational motion in accordance with any of the axes around the object will be identical as that of angular velocity about its centre of mass.
Here we can see that for both cases, angular velocity about the z-axis is the same. That is $\omega $. Therefore the angular velocity about their centre of mass will be also $\omega $ for the two.
Note:
Angular velocity is defined as the measure of how fast a body can rotate or revolve relative to another point. Which means how fast the angular position or the orientation of an object varies with time. Orbital angular velocity and spin angular velocity are the two types of angular velocity. Spin angular velocity is defined as the measure of how fast a rigid body rotates with respect to its centre of rotation. Orbital angular velocity is basically the measure of how fast a point object revolves about a fixed origin. This means that the time rate is a variation of its angular position in accordance with the origin.
Complete answer:
Angular velocity of an object undergoing any rotational motion in accordance with any of the axes around the object will be identical as that of angular velocity about its centre of mass.
Here we can see that for both cases, angular velocity about the z-axis is the same. That is $\omega $. Therefore the angular velocity about their centre of mass will be also $\omega $ for the two.
Note:
Angular velocity is defined as the measure of how fast a body can rotate or revolve relative to another point. Which means how fast the angular position or the orientation of an object varies with time. Orbital angular velocity and spin angular velocity are the two types of angular velocity. Spin angular velocity is defined as the measure of how fast a rigid body rotates with respect to its centre of rotation. Orbital angular velocity is basically the measure of how fast a point object revolves about a fixed origin. This means that the time rate is a variation of its angular position in accordance with the origin.
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