6 rad/s a = 4 rad/s² 0,5 h A

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In the figure, the disk rolls with no slippage at the angular velocity and acceleration shown. Calculate the acceleration of point A.
The image depicts a wheel rotating on a flat surface. Key elements include:

1. **Rotational Motion Parameters:**
   - Angular velocity (\(\omega\)) is given as 6 radians per second (\(\text{rad/s}\)).
   - Angular acceleration (\(\alpha\)) is noted as 4 radians per second squared (\(\text{rad/s}^2\)).

2. **Wheel Diagram:**
   - The wheel is shown as a circle with a shaded area to indicate motion.
   - A point marked "G" represents the center of mass of the wheel.
   - A radius line from the center "G" to the edge at point "A" is labeled to be 0.5 feet (\(0.5 \, \text{ft}\)).
   - An arrow along the radius indicates the rotation direction.

This visual and associated data can be used to illustrate concepts of rotational dynamics, including angular velocity and acceleration calculations.
Transcribed Image Text:The image depicts a wheel rotating on a flat surface. Key elements include: 1. **Rotational Motion Parameters:** - Angular velocity (\(\omega\)) is given as 6 radians per second (\(\text{rad/s}\)). - Angular acceleration (\(\alpha\)) is noted as 4 radians per second squared (\(\text{rad/s}^2\)). 2. **Wheel Diagram:** - The wheel is shown as a circle with a shaded area to indicate motion. - A point marked "G" represents the center of mass of the wheel. - A radius line from the center "G" to the edge at point "A" is labeled to be 0.5 feet (\(0.5 \, \text{ft}\)). - An arrow along the radius indicates the rotation direction. This visual and associated data can be used to illustrate concepts of rotational dynamics, including angular velocity and acceleration calculations.
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