Asked by Jess O.
A velodrome is built for use in the Olympics. The radius of curvature of the surface is 19.6 m. At what angle should the surface be banked for cyclists moving at 11.5 m/s? (Choose an angle so that no frictional force is needed to keep the cyclists in their circular path. Large banking angles are used in velodromes.)
Answers
Answered by
Elena
Let the x-axis point toward the center of curvature and the y-axis point upward. Use Newton’s second law
ΣFy = N• cos θ = mg,
ΣFx = N• sin θ = m•v²/R,
Dividing the 2nd equation by the 1st equation, we obtain
tan θ = v² /R•g =11.5²/19.6•9.8 = 0.67
θ = 34.5 º
ΣFy = N• cos θ = mg,
ΣFx = N• sin θ = m•v²/R,
Dividing the 2nd equation by the 1st equation, we obtain
tan θ = v² /R•g =11.5²/19.6•9.8 = 0.67
θ = 34.5 º
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.