Radius of Curvature Application problem

undrcvrbro
Messages
131
Reaction score
0

Homework Statement



A factory has a machine which bends wire at a rate of 4 unit(s) of curvature per second. How long does it take to bend a straight wire into a circle of radius 8?

My professor likes to give us things we've never seen before on our weekend quizzes. The above is one such problem.

All that I can get from that problem statement is that k(t) must equal 4? Can anyone kind try and explain what they are actually asking?
 
Physics news on Phys.org
Hint: What is the relationship between the calculus radius of curvature \rho for a general curve, and the radius r of a circle in the case when the curve is a circle?
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

Curvature and radius of curvature of a cartesian equation
Replies
18
Views
3K
Radius of curvature of a function
Replies
4
Views
2K
Radius of Curvature: Math Homework Help
Replies
1
Views
2K
Please help me A Problem about radius of curvature
Replies
9
Views
2K
Radius of curvature along a spring
Replies
2
Views
3K
Finding radius of curvature of an eyeball
Replies
2
Views
6K
Calculating the Radius of Curvature for a Deflected Beam
Replies
2
Views
2K
Differentiation with units- Related Rates problem
Replies
30
Views
4K
I E-field around charged finite wire - intractable or not?
Replies
10
Views
916
How Do Curvature and Planes Relate in Vector Problems?
Replies
9
Views
3K

Hot Threads

Recent Insights

Back
Top