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A particle is moving in a circle of diameter 5m. What is its displacement when it covers oneand a half revolution?

Question

A particle is moving in a circle of diameter 5m. What is its displacement when it covers one and a half revolution?

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Solution

The displacement of a particle moving in a circle is the shortest distance between the initial and final points of the particle.

  1. First, we need to understand that a revolution is a complete circular movement around an axis. So, one and a half revolutions would mean the particle has moved from its starting point, around the circle once and then half way around again.

  2. The diameter of the circle is given as 5m. The radius of the circle would therefore be half of the diameter, which is 2.5m.

  3. After one complete revolution, the particle comes back to its starting point. So, the displacement after one revolution is 0.

  4. After half a revolution more, the particle is at the opposite end of the circle. This is a straight line across the circle, which is the diameter of the circle.

  5. Therefore, the displacement of the particle after one and a half revolutions is equal to the diameter of the circle, which is 5m.

This problem has been solved

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