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## Homework Statement

A car is traveling at 27.8 m/s, it undergoes a negative acceleration of 2.6 m/s/s when the brakes are applied. How many revolutions will the tires go through before the car comes to a stop if the wheels each have a radius of 1.0 m?

## Homework Equations

α = at / r -> angular acceleration = tangential acceleration / radius

α = ω / t -> angular acceleration = angular velocity / time

α = Θ / t^2 -> angular acceleration = angle / time^2

ω = Θ / t -> angular velocity = angle / time

ω = v / r -> angular velocity = velocity / radius

## The Attempt at a Solution

ω = v / r

ω = 27.8 / 1

ω = 27.8

α = a / r

α = (- 2.6) / 1

α = -2.6

α = ω / t

-2.6 = 27.8 / t

27.8 / 2.6 = t

10.7sec = t

ω = Θ / t

27.8 = Θ / 10.7

Θ = 297.46°

297.46 / 360 = 0.83 times

This was incorrect.