(b) A particle moves over three quarters of a circle of radius r. What is the magnitude of itsdisplacement?
Question
(b) A particle moves over three quarters of a circle of radius r. What is the magnitude of itsdisplacement?
Solution
The displacement of a particle moving over three quarters of a circle is calculated by finding the straight line distance between the starting point and the ending point of the movement.
Step 1: Identify the starting and ending points. In a circle, if a particle moves three quarters, it ends up at the diametrically opposite point from where it started.
Step 2: The displacement is the diameter of the circle in this case, because the diameter is the straight line distance between two points on a circle that passes through the center.
Step 3: The diameter of a circle is twice the radius. So, if the radius is r, the diameter (and thus the displacement) is 2r.
So, the magnitude of the displacement of the particle is 2r.
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