Physics questions for the day?

Question

Once again, I know the answers just don't know how they were gotten. So please help if you can!

At what angle should a curve of radius 150 m be banked, so cars can travel safely at 25 m/s without relying on friction?

Answer 1

PinkyTrauma:

To get this answer, we need to know the acceleration down (gravity) and the acceleration perpendicular (centripetal)

Agravity= g

Acentripetal= v^2/r
=(25m/s)^2/150m
=4.17

Now to get the angle we need the inverse tan Acent/g

theta=inversetan Acent/g
=23 deg

Remo