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A particle is moving on a circular path of radius r with uniform speed v. What is the displacement of the particle after it has described an angle of 60°?
  • a)
    r√2
  • b)
    r√3
  • c)
    r
  • d)
    2r
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A particle is moving on a circular path of radius r with uniform speed...
Let the particle is moving from point A to B
Displacement of the particle = AB
According to cosine formula

Displacement AB = x = r
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Most Upvoted Answer
A particle is moving on a circular path of radius r with uniform speed...
The displacement of the particle after it has described an angle of 60° can be calculated using the formula:

Displacement = r * θ

Where r is the radius of the circular path and θ is the angle described by the particle.

Given that the angle described is 60° and the radius is r, the displacement can be calculated as:

Displacement = r * 60°

Since the angle is given in degrees, it needs to be converted to radians before calculating the displacement.

1 radian = (180/π) degrees

So, 60° = 60 * (π/180) radians

Displacement = r * (60 * (π/180)) radians

Simplifying,

Displacement = r * (π/3) radians

Therefore, the displacement of the particle after it has described an angle of 60° is r * (π/3) radians.
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A particle is moving on a circular path of radius r with uniform speed v. What is the displacement of the particle after it has described an angle of 60°?a)r√2b)r√3c)rd)2rCorrect answer is option 'C'. Can you explain this answer?
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