Question

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

Answer 1

Answer:

$\huge\boxed{\sf a_{c} = 15.6\ m/s^2}$

Explanation:

Given Data:

Radius = r = 40 m

Speed = v = 25 m/s

Required:

Centripetal Acceleration = $\sf a_{c}$ = ?

Formula:

$\sf a_{c} = \frac{v^2 }{r}$

Solution:

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

Hope this helped!

~AH1807