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A yo-yo with a mass of 1 kg is being swung around in circles on a 2-meter long string at a constant speed of 4 m/s. What is the centripetal acceleration of the yo-yo?

User Onusopus
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1 Answer

7 votes

Answer:

8 m/s²

Step-by-step explanation:

Centripetal acceleration formula:

  • a = v²/r
  • where v = velocity and r = radius

As you can see, the mass of the yo-yo is not relevant to this problem.

We are given that the velocity of the yo-yo is 4 m/s.

The radius of the circle formed by the yo-yo on a 2-meter long string is 2 meters.

Substitute these known values into the equation.

  • a = (4)²/2
  • a = 16/2
  • a = 8

The centripetal acceleration of the yo-yo is 8 m/s².

User ShedSports
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