Given:
The radius of curvature r = 7.4 m.
To find the minimum speed of roller coaster to avoid the passengers' fallout.
Explanation:
Two forces act on the roller coaster, centripetal force and force due to gravity.
The condition to avoid passengers' fallout is
[tex]\begin{gathered} centripetal\text{ force = force due to gravity} \\ \frac{mv^2}{r}=mg \\ v=\sqrt{gr} \end{gathered}[/tex]Here, the velocity is denoted by v.
The acceleration due to gravity is g = 9.8 m/s^2.
The radius is denoted by r.
On substituting the values, the velocity will be
[tex]\begin{gathered} v=\text{ }\sqrt{9.8\times7.4} \\ =8.51\text{ m/s} \end{gathered}[/tex]The minimum speed of the roller coaster will be 8.51 m/s.
