Solve for Maximum Speed of a Car on a Circular Turn | Centripetal Force Problem

[BrainMan]

Homework Statement

A car of mass 2000 kg rounds a circular turn of radius 20 m. If the road is flat and the coefficient of friction is 0.7 between the tires and road, how fast can the car go without skidding?

Homework Equations

F_c = m(v²/r)

The Attempt at a Solution

I tried to find the centripetal force by doing
2000(9.8) = 19600
19600(.7) = 13720
then I plugged that into the above equation to find the velocity
13720 = 2000v²/20²
5488000/2000 = v²
2744 = v²
\sqrt{}2744 = v
v= 52.38 m/s. The correct answer is 11.7 m/s

 

[Nathanael]

F_c = m(v²/r)
...
13720 = 2000v²/20²

Why did you square the radius?Edit:
Other than that you are correct.

 

[BrainMan]

Why did you square the radius?


Edit:
Other than that you are correct.

That was my mistake. Thanks!