Asked by Kat
The diameter of a car's tire is 60cm. While the car is being driven, the tire picks up a nail. At what times in two complete cycles is the nail at a height of 1cm above the ground.
So far, I have calculated the circumference of the wheel (188.5) and I do not know the next step.
So far, I have calculated the circumference of the wheel (188.5) and I do not know the next step.
Answers
Answered by
Reiny
This is pretty "advanced" stuff
Your nail traces out a cycloid, the
equation of that path can be written as
parametric equations
x=r(t−sint)
y=r(1−cost) , where t is the angle of rotation, and r is the radius
What level of math is this ?
http://mathworld.wolfram.com/Cycloid.html
Your nail traces out a cycloid, the
equation of that path can be written as
parametric equations
x=r(t−sint)
y=r(1−cost) , where t is the angle of rotation, and r is the radius
What level of math is this ?
http://mathworld.wolfram.com/Cycloid.html
Answered by
Kat
Grade 11 Unversity Functions.
The question was part of the final "Thinking" category for our periodic functions test.
The question was part of the final "Thinking" category for our periodic functions test.
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