Curvature of the curve and torsion of the curve
Not what you're looking for?
Differential Geometry (I)
Curves in Space
Curvature of the Curve
Torsion of the Curve
For the curve r = ( √6 at^3, a(1+3t^2), √6 at )
Show that k = - T = 1/[a(3t^2 + 1)^2] where k = curvature of the curve, T = torsion of the curve
Purchase this Solution
Solution Summary
This solution is comprised of a detailed explanation for finding the curvature of the curve and torsion of the curve. It contains step-by-step explanation to find the Curvature and torsion of the curve r = ( √6 at^3, a(1+3t^2), √6 at ). Solution contains detailed step-by-step explanation.
Education
- BSc, Manipur University
- MSc, Kanpur University
Recent Feedback
- "Thanks this really helped."
- "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
- "Very nice thank you"
- "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
- "You are awesome. Thank you"
Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.