The discussion centers on calculating the velocity of a car traveling over a hump with a radius of 20 meters, given a net acceleration of 3.8 m/s². The formula used is derived from centripetal acceleration, specifically a = v²/r, leading to the calculation v = √(ar). The correct velocity calculated is approximately 8.718 m/s. Additionally, there is a query regarding the felt acceleration on a flat road, indicating a need for clarification on interpreting forces experienced by occupants.
PREREQUISITESStudents studying physics, particularly those focusing on mechanics, as well as educators seeking to clarify concepts related to motion and forces.
What acceleration would the occupants feel on a flat road? I agree it is not completely clear, but I would guess you are to interpret the felt acceleration in terms of the forces felt.KLI897 said:Homework Statement
A car travels over a hump in the road of radius 20 meters. How fast is the car traveling if the occupants feel a net acceleration of 3.8 m/s2
Homework Equations
a = v2/r
v = √ar
The Attempt at a Solution
I did this but according to my teacher this isn't correct.
v = √(3.8 m/s2)(20 m)
v = 8.718 m/s