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Banked Tracks for Turning 17.5

https://isaacphysics.org/questions/phys_linking_17_q5?board=8bd4b25b-ecb5-495f-b556-c51c33d6b48b&stage=a_level

I worked out the difference in the radii for car a and car b to be 23.5m using centripetal acceleration but when I put this into isaac it says "difference between the radii is not equal to the difference between the cars' centres" - the actual difference between the cars' centres is 25m.
Can anyone explain - why is the difference between the radii not equal to the difference between the cars' centres.
Reply 1
My working:
Original post by mosaurlodon
https://isaacphysics.org/questions/phys_linking_17_q5?board=8bd4b25b-ecb5-495f-b556-c51c33d6b48b&stage=a_level

I worked out the difference in the radii for car a and car b to be 23.5m using centripetal acceleration but when I put this into isaac it says "difference between the radii is not equal to the difference between the cars' centres" - the actual difference between the cars' centres is 25m.
Can anyone explain - why is the difference between the radii not equal to the difference between the cars' centres.


The cars are travelling on the slopes NOT on horizontal ground.
The separation of cars is the difference between the radii when the cars are travelling on horizontal ground.
Reply 3
Ah so it would be 23.5/cos(20), which is 25m. Thanks!

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