An inclined plane and banked curve problem can be approached in the following way:
The formula to remember, which is not included on the HSC formula sheet is the following:
Most questions encountered can be solved with this formula.
Question 1. [2 marks]
A car is turning an Icey corner banked at 7 degrees with a radius of 0.05 km, what is the cars maximum velocity it can go without skidding out?
Question 2. [3 marks]
A local council is considering building a banked curve, they can build one curve with a angle of 15 degrees and is 150 m radius while the other design has an angle of 16 degrees and a radius of 170 m. Which ramp would be safer and why?
Question 3. [4 marks]
Two cars of the same mass on a planet other then earth take a corner of radius 150 m and an angle of 10 degrees going 45 km/h. What is the maximum speed they could go when taking another corner of angle 15 degrees and a radius of 92 m.
Bank 2 since 21 m/s is faster then 20 m/s