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  • 08-01-2023
  • Physics
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If a ball is travelling in a circle of diameter 10m with velocity 20m/s, find the angular velocity of the ball.​

Respuesta :

VectorFundament120
VectorFundament120 VectorFundament120
  • 08-01-2023

Answer:

4 rad/s

Explanation:

The angular velocity is velocity over time:

[tex]\displaystyle{\omega = \dfrac{v}{r}}[/tex]

We know that the velocity is 20 m/s and the radius is half of diameter which is 10m/2 = 5 m. Hence, substitute in the formula:

[tex]\displaystyle{\omega = \dfrac{20 \: \text{m/s}}{5 \: \text{m}}}\\\\\displaystyle{\omega = 4 \: \text{rad/s}}[/tex]

Therefore, the angular velocity is 4 rad/s

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