Respuesta :

a= v²/R
a = 12²/30 =4.8 m/s²

The car's rate of centripetal acceleration in the circular path is 4.8 m/s².

The given parameters;

  • mass of the car, m = 2,000 kg
  • velocity of the car, v = 12 m/s
  • radius of the circular path, r = 30 m

The centripetal acceleration of the car is calculated as follows;

[tex]a_c = \frac{v^2}{r}[/tex]

where;

  • v is the tangential speed of the car
  • r is the radius of the circular path

Substitute the given parameters and solve for the centripetal acceleration;

[tex]a_c = \frac{12^2}{30} \\\\a_c = 4.8 \ m/s^2[/tex]

Thus, the car's rate of centripetal acceleration is 4.8 m/s².

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