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

`\huge\boxed{\sf a_(c) = 15.6\ m/s^2}`

Step-by-step explanation:

Given Data:

Radius = r = 40 m

Speed = v = 25 m/s

Required:

Centripetal Acceleration =
`\sf a_(c)` = ?

Formula:

`\sf a_(c) = (v^2 )/(r)`

Solution:

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

Hope this helped!

~AH1807