Answer: [tex]12.83 m/s^{2}[/tex]
Explanation:
In this case we are talking about the centripetal acceleration [tex]a_{c}[/tex], which can be calculated by:
[tex]a_{c}=\frac{V^{2}}{r}[/tex]
Where:
[tex]V=112 \frac{km}{h} \frac{1000 m}{1 km} \frac{1h}{3600 s}=31.11 m/s[/tex] is the speed of the motorcycle
[tex]r=75.4 m[/tex] is the radius of the path the motorcycle is going around
Solving:
[tex]a_{c}=\frac{(31.11 m.s)^{2}}{75.4 m}[/tex]
Finally:
[tex]a_{c}=12.83 m/s^{2}[/tex]
