Answered

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You are driving at 30.0 m/s on a freeway curve of radius 25.0 m. What is the magnitude of your acceleration?

Sagot :

Answer:

36.0 m/s^2

Explanation:

Lanuel

The magnitude of your acceleration is equal to 36.0 [tex]m/s^2[/tex].

Given the following data:

  • Radius, r = 25.0 meters.
  • Speed, V = 30.0 m/s.

To calculate the magnitude of your acceleration:

Mathematically, the centripetal acceleration of an object is given by this formula:

[tex]A_c = \frac{V^2}{r}[/tex]

Where:

  • [tex]A_c[/tex] is the centripetal acceleration.
  • r is the radius of the circular track.
  • V is the velocity of an object.

Substituting the given parameters into the formula, we have;

[tex]A_c = \frac{30.0^2}{25.0}\\\\A_c = \frac{900}{25.0}[/tex]

Centripetal acceleration = 36.0 [tex]m/s^2[/tex]

Read more on centripetal acceleration here: https://brainly.com/question/2788500

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