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Matt is driving his car around a curve that has a radius of 40 m. If his speed is 25 m/s as he negotiates the curve, find the centripetal acceleration for the curve.
A- 13.9 m/s2
B- 24.6 m/s2
C- 15.6 m/s2
D- 7.25 m/s2

Respuesta :

ujalakhan18

Answer:

[tex]\huge\boxed{\sf a_{c} = 15.6\ m/s^2}[/tex]

Explanation:

Given Data:

Radius = r = 40 m

Speed = v = 25 m/s

Required:

Centripetal Acceleration = [tex]\sf a_{c}[/tex] = ?

Formula:

[tex]\sf a_{c} = \frac{v^2 }{r}[/tex]

Solution:

[tex]\sf a_{c} = \frac{v^2}{r} \\\\a_{c} = \frac{(25)^2}{40} \\\\a_{c} = \frac{625}{40} \\\\a_{c} = 15.6 m/s^2\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

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