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 :A 10 m B 4 m C 5 m D 100 m
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 :A 10 m B 4 m C 5 m D 100 m
Solution
The linear acceleration (a) of a particle in circular motion is related to its angular acceleration (α) and its distance from the axis of rotation (r) by the formula:
a = r * α
We can rearrange this formula 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 m from the axis of rotation. Therefore, the correct answer is B. 4 m.
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