Year 11: Centripetal Acceleration/Force "Challenging" questi

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SUMMARY

The discussion centers on a Year 11 physics problem involving centripetal acceleration and force. The motorcyclist leans at an angle of 55 degrees while negotiating a corner at a maximum speed of 100 km/h. The correct formula used is tan(theta) = v^2/(gr), which leads to calculating the radius of curvature. The final answer, confirmed by the user, is 112 meters, highlighting the importance of accurately interpreting free-body diagrams in physics problems.

PREREQUISITES
  • Understanding of centripetal acceleration and force concepts
  • Familiarity with trigonometric functions, specifically tangent
  • Ability to manipulate equations to isolate variables
  • Knowledge of free-body diagrams in physics
NEXT STEPS
  • Review centripetal force calculations in physics
  • Learn about the application of trigonometric functions in physics problems
  • Practice drawing and interpreting free-body diagrams
  • Explore real-world applications of centripetal acceleration in motorsports
USEFUL FOR

Students in Year 11 physics, educators teaching mechanics, and anyone interested in understanding the principles of centripetal acceleration and force in practical scenarios.

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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