The linear and angular acceleration of a particle are 20 m/s2 and 5 rad/s2 respectively, it will be at a distance from the axis of rotation :
Question
The linear and angular acceleration of a particle are 20 m/s2 and 5 rad/s2 respectively, it will be at a distance from the axis of rotation :
Solution
The given question is related to the physics concept of rotational motion.
Given: Linear acceleration (a) = 20 m/s² Angular acceleration (α) = 5 rad/s²
We know that the linear acceleration (a) and angular acceleration (α) are related by the equation:
a = r * α
where r is the distance from the axis of rotation.
We can rearrange this equation to solve for r:
r = a / α
Substituting the given values:
r = 20 m/s² / 5 rad/s² = 4 m
So, the particle will be at a distance of 4 meters from the axis of rotation.
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