- #1
df102015
- 27
- 1
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.