Question

A certain light truck can go around a flat curve having a radius of 150 m with a maximum spee dof 32.0 m/s. With what maximum speed can it go around a curve having a radius of 75.0 m?

Answer 1

Maximum speed at 75 m radius will be 22.625 m /sec

Explanation:

We have given radius of the curve r = 150 m

Maximum speed
`v_(max)=32m/sec`

Coefficient of friction
`\mu =(v_(max)^2)/(rg)=(32^2)/(150* 9.8)=0.6965`

Now new radius r = 75 m

So maximum speed at new radius
`v_(max)=√(\mu rg)=√(0.6965* 75* 9.8)=22.625m/sec`