The maximum speed is 10.4 m/s
Explanation:
For a body in uniform circular motion, the centripetal acceleration is given by:
[tex]a=\frac{v^2}{r}[/tex]
where
v is the linear speed
r is the radius of the circular path
In this problem, we have the following data:
- The maximum centripetal acceleration must be
[tex]a=1.1 g[/tex]
where [tex]g=9.8 m/s^2[/tex] is the acceleration of gravity. Substituting,
[tex]a=(1.1)(9.8)=10.8 m/s^2[/tex]
- The radius of the turn is
r = 10 m
Therefore, we can re-arrange the equation to solve for v, to find the maximum speed the ride can go at:
[tex]v=\sqrt{ar}=\sqrt{(10.8)(10)}=10.4 m/s[/tex]
Learn more about centripetal acceleration:
brainly.com/question/2562955
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