Question

The deflection angle between the tangents drawn at the ends of a transition curve is 7°. The radius of the curve at the end is 400 m. What is the length of the transition curve?​

Answer 1

Answer:

remark

Step-by-step explanation:

hotel Islam that you are interested

Answer 2

Find the length of the curve for the given radius.

Explanation:

• Let there be an arc that extends to be a part of a circle having radius 'r' and subtending an angle $\theta$ at the center of curvature.
• Then we have the length 'l' of the arc which is given by,  $l= \theta xr$
• If the angle between the tangents drawn at the ends of an arc is $\alpha$
• Then the angle made by the arc at the center of curvature is given by,      $\theta=180-\alpha$
• hence given that the angle between tangents, $\alpha=7$
• Hence the angle made by the curve at the center of curvature is, $\theta=180-7=173$    
• now since the radius of the curve is given we get the length of the curve from length of an arc formula above as,
• $l=173(400)= 69200\ m$ ----->ANSWER