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 oneand a half revolution?
Solution
The displacement of a particle moving in a circle is the shortest distance between the initial and final points of the particle.
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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.
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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.
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After one complete revolution, the particle comes back to its starting point. So, the displacement after one revolution is 0.
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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.
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Therefore, the displacement of the particle after one and a half revolutions is equal to the diameter of the circle, which is 5m.
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