Question

Aroadway over bridge is in the form of a symmetrical
arc of a circle of radius 100 m, subtending an ang
of 120° at the center. With what maximum apee
can a vehicle pass over the bridge without breaking
contact with the bridge at any point ?​

Answer 1

Answer:

The speed of vehicle is 31.3 m/s.

Explanation:

Given that,

Radius = 100

We need to calculate the speed

Using relation centripetal force and weight

$\dfrac{mv^2}{r}=mg$

$v^2=rg$

$v = \sqrt{rg}$

Where, r = radius

g = acceleration

Put the value into the formula

$v =\sqrt{100\times9.8}$

$v=31.3\ m/s$

Hence, The speed of vehicle is 31.3 m/s.