Find the magnitude of the linear acceleration of a particle moving in a
circle of radius 2m with uniform speed completing the circle in 4 s.
Answers
The magnitude of the linear acceleration of a particle moving in a circle is 0.5 π m/s².
Explanation:
=> It is given that,
Radius of a circle in which particle is moving, r = 2m
Uniform speed of particle to complete the circle, t = 4s
=> The distance covered in completing the circle, d:
d = 2πr = 2π* 2 m = 4π m
=> Linear speed, v:
v = d / t
= 4π / 4
= 1 π m/s
=> The magnitude of the linear acceleration of a particle moving in a
circle, a:
a = v² / r
= (1π m/s)² / 2m
= 0.5π m/s²
Thus, the magnitude of the linear acceleration of a particle moving in a circle is 0.5 π m/s².
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