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A rock tied to a string is moving at a constant speed of 8.0 m/s in a circle of radius 7.0 m. Calculate the approximate magnitude of the centripetal acceleration of the rock.

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Given :-

  • Speed with which the rock is moving= 8m/s.
  • Radius of circle = 7m .

To Find :-

  • The magnitude of centripetal acceleration.

Solution:-

As we know that the centripetal acceleration is given by ,

→ a = v²/r

where ,

  • a is acceleration
  • v is linear velocity
  • r is the radius of the circle

On substituting the respective values, we have;

→ a = (8m/s)² / 7m

→ a = 64m²/s²÷7m

→ a = 9.14 m/s²

Henceforth the required answer is 9.14m/s².

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