Year 11: Centripetal Acceleration/Force "Challenging" questi

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AI Thread Summary
The discussion revolves around a Year 11 physics problem involving centripetal acceleration and force, where a motorcyclist leans at a 55-degree angle while negotiating a corner. The student initially struggles to calculate the smallest radius of curvature for a maximum speed of 100 km/h, leading to a discrepancy between their answer and the textbook's solution of 112 meters. After reviewing their approach, the student realizes they misinterpreted the free-body diagram, specifically the placement of the opposite and adjacent sides in their calculations. This correction ultimately leads to a successful resolution of the problem. The conversation highlights the importance of accurately analyzing free-body diagrams in physics problems.
jstretto

Homework Statement


Hey there :), I am in year 11 and my teacher has assigned me with this "challenging question".

12. A motorcyclist leans his machine over so that it makes an angle of 55 degrees with the surface of the track as he negotiates a corner.
a.) If (due to the treat on his tyres and track conditions) he is able to safely do this up to a maximum speed of 100 km h^-1, what is the smallest radius of curvature that the corner can have?

Homework Equations


Centripetal Force and acceleration

The Attempt at a Solution


I rearranged tan(theta)= v^2/gr
to make r the subject.

But the answer is completely different to what the textbook says is the answer.
Answer: 112m

Any help would be greatly appreciated, I really want to do well in physics this term!
 
Physics news on Phys.org
Solved. I interpreted the free-force diagram I drew wrong, placing the opp/adj in the wrong place, lool.
 
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