Centripetal force 'F' required for circular motion of an object of mass 'm' moving in circle of radius 'r' at a tangential velocity 'v' is equal to _______

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SSC GD Previous Paper 25 (Held On: 3 March 2019 Shift 3)_English
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  1. \(\frac{v^2}{mr}\)
  2. \(\frac{mv^2}{r}\)
  3. mvr2
  4. \(\frac{mv}{r^2}\)

Answer (Detailed Solution Below)

Option 2 : \(\frac{mv^2}{r}\)
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EXPLANATION:

F1 J.K Madhu 28.05.20 D1

  • When a particle is revolving in a circular path,  the centripetal force acts on the particle towards the center of the circular path and is represented by

\(\Rightarrow F_c=\frac{mv^2}{r}\)

​Where F is the centripetal force, m is the mass of the particle, v is velocity, and r is the radius.

Additional Information

  • Centripetal acceleration: The acceleration is directed radially toward the center of the circle and has a magnitude equal to the square of the body's velocity along the curve divided by the radius of the circular path.

\(\Rightarrow a_c=\frac{V^2}{r}\)

Where a is centripetal acceleration, V = velocity of the particle, r = radius of the circle.

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