Answer :
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]
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