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(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 its displacement?

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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.

This problem has been solved

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