Question

Calculate the mid ordinate of highway curve if intersection angle is 30 and radius of curve is 4 metre

Answer 1

Answer:

Mid - ordinate = 0.1363 metre.

Step-by-step explanation:

$\theta$ = 30°

radius of curve, R = 4 m

Mid - ordinate , M  = R ( 1 - cos( $\theta / 2$) )

                          M = 4 ( 1 - cos(15°))

                              = 0.1363 metre.

Answer 2

The mid ordinate of highway curve is 0.136 meters.

Step-by-step explanation:

Given that,

The angle of intersection of highway curve is 30 degrees. The radius of the curve is 4m

We need to find the mid ordinate of highway curve. The formula to find the mid ordinate is given by :

$MO=r(1-\cos\dfrac{\theta}{2})\\\\MO=4\times (1-\cos\dfrac{30}{2})\\\\MO=4\times (1-\cos(15))\\\\MO=0.136\ m$

So, the mid ordinate of highway curve is 0.136 meters.

Learn more,

Mid ordinate