The Vélodrome National de Saint-Quentin-en-Yvelines in Montigny-le-Bretonneux, France will host the cycling events for the 2024 Summer Olympics. The track was designed to be the fastest track in the world. The turns at the end of the track have a 23 m radius of curvature and a 44°. Assume no friction for parts (a)-(). (a) Draw the free body diagram for a rider going around the curve of the track. (b) What is the normal force acting on the rider if the mass of the rider is 90 kg? (c) What is the centripetal acceleration necessary to keep the rider from moving up or down the track? (d) Calculate the speed of the rider. (e) What would the coefficient of static friction need to be to keep the rider from sliding off a flat track with the same radius if they are traveling at the same speed found in part (d) (assuming the rider doesn't fall over)?

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter5: Newton's Laws Of Motion
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The Vélodrome National de Saint-Quentin-en-Yvelines in Montigny-le-Bretonneux, France will host the
cycling events for the 2024 Summer Olympics. The track was designed to be the fastest track in the
world. The turns at the end of the track have a 23 m radius of curvature and a 44°. Assume no friction
for parts (a)-().
(a) Draw the free body diagram for a rider going around the curve of the track.
(b) What is the normal force acting on the rider if the mass of the rider is 90 kg?
(c) What is the centripetal acceleration necessary to keep the rider from moving up or down the track?
(d) Calculate the speed of the rider.
(e) What would the coefficient of static friction need to be to keep the rider from sliding off a flat track
with the same radius if they are traveling at the same speed found in part (d) (assuming the rider
doesn't fall over)?
Transcribed Image Text:The Vélodrome National de Saint-Quentin-en-Yvelines in Montigny-le-Bretonneux, France will host the cycling events for the 2024 Summer Olympics. The track was designed to be the fastest track in the world. The turns at the end of the track have a 23 m radius of curvature and a 44°. Assume no friction for parts (a)-(). (a) Draw the free body diagram for a rider going around the curve of the track. (b) What is the normal force acting on the rider if the mass of the rider is 90 kg? (c) What is the centripetal acceleration necessary to keep the rider from moving up or down the track? (d) Calculate the speed of the rider. (e) What would the coefficient of static friction need to be to keep the rider from sliding off a flat track with the same radius if they are traveling at the same speed found in part (d) (assuming the rider doesn't fall over)?
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