Question

Find radius of curvature for 2a/r =1 + cos theta

Answer 1

Answer:

r =a

Step-by-step explanation:

As per data in the given in equation 2a/r =1 + cosθ

the value of  cosθ for a curvature by only one round is 1.

means the value of cos360° is equal to 1

so, after putting value of cosθ in given equation;

the equation will be  

2a/r =1 + 1

⇒ 2a/r = 2

⇒ r =2a/2

⇒r =a

hence,the radius of curvature is equal to a ,

this value is only when  θ = 360° ,any change of angle would leads to change of radius of curvature.

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