askor
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Does this involute equation is correct?
Is this involute equation correct?
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Science Advisor
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It is the parametric equation of the involute of a circle in Cartesian coordinates.
askor
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QuantumQuest said:
Um, I don't know
. What do you think it is?
Science Advisor
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askor said:Um, I don't know
QuantumQuest said:
Homework Helper
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Wiki article:
http://en.wikipedia.org/wiki/Involute#Involute_of_a_circle
This is also the path of an object connected to a string that wraps or unwraps around a circular post. The string would be the black line in the wiki animation. The string is always perpendicular to the instantaneous path of the object, and always tangent to the circular post.
http://en.wikipedia.org/wiki/Involute#Involute_of_a_circle
This is also the path of an object connected to a string that wraps or unwraps around a circular post. The string would be the black line in the wiki animation. The string is always perpendicular to the instantaneous path of the object, and always tangent to the circular post.
askor
- 168
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So, does this involute equation is correct?
askor
- 168
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Why no one can answer my question?
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We did answer your question.
askor
- 168
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Is the " t " in degree or radian?
- 22,170
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Radian
askor
- 168
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OK, now let me work for the equation.
x = r(cos t + t sin t)
y = r(sin t - t cos t)
I start with t = 0 rad and r = 1, then
x = 1(cos 0 + 0 sin 0)
= 1(cos 0)
=1(1)
= 1
y = 1(sin 0 - 0 cos 0)
= 1(sin 0)
= 0
Is it correct?
x = r(cos t + t sin t)
y = r(sin t - t cos t)
I start with t = 0 rad and r = 1, then
x = 1(cos 0 + 0 sin 0)
= 1(cos 0)
=1(1)
= 1
y = 1(sin 0 - 0 cos 0)
= 1(sin 0)
= 0
Is it correct?
- 22,170
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Yes.