Question

A certain light truck can go around a flat curve having a radius of 150m with a max speed if 26.5. What is the max speed it can go around a curve having a radius of 76.0m

Answer 1

The maximum speed is 18.86 m/s.

Step-by-step explanation:

initial radius, r = 150 m

maximum speed, v = 26.5 m/s

new radius, r' = 76 m

Let the new maximum speed is v'.

The formula of the maximum speed is

`tan\theta = (v^2)/(rg)`

So,

`(v'^2)/(v^2)=(r')/(r)\\\\(v'^2)/(26.5* 26.5)=(76)/(150)\\\\v=18.86 m/s`