Hi there!
At the bottom of a hill, the sum of the forces on the coaster are:
∑F = N - Mg
The coaster will experience a centripetal force which is equal to the net force, so:
∑F = mv²/r
mv²/r = N - Mg
The acceleration is the net force divided by the mass, so:
a = v²/r
Answer:
[tex]ac=v\frac{2}{r}[/tex]
Explanation:
The formula for centripetal acceleration ac = v2/r is used to determine the top and bottom acceleration of a ride.
If the acceleration of a roller coaster at the bottom of a hill is equal to the acceleration of gravity (9.81 m/[tex]s^2[/tex]), another g-force is produced and, when added to the standard 1 g, we get 2gs.
