For this case, the first thing to do is find the linear acceleration of the car.
We have then:
[tex] a = \frac{v}{t}
[/tex]
Where,
v: speed
t: time
Substituting values we have:
[tex] a = \frac{22}{117}
[/tex]
[tex] a = 0.19 \frac{m}{s^2}
[/tex]
We are now looking for angular acceleration.
For this, we use the following equation:
[tex] \alpha =\frac{a}{r} [/tex]
Where,
a: linear acceleration
r: radius of the tires
Substituting values we have:
[tex] \alpha = \frac{0.19}{0.320}
[/tex]
[tex] \alpha = 0.59 \frac{rad}{s^2} [/tex]
Answer:
The angular acceleration of the tires is:
[tex] \alpha = 0.59 \frac{rad}{s^2} [/tex]
