Question

The maximum speed (v) that an automobile can travel around a curve of radius r without skidding is given bythe equationV=(5r/2) ^1/2where v is in miles per hour and r is measured in feet. What is the maximum speed a car can travel around a curve with a radius of 40 feet without skidding? The car can travel up to __ miles an hour.

Answer 1

Given:

The maximum speed (v) that an automobile can travel around a curve of radius r without skidding is given by the equation:

`v=((5r)/(2))^{(1)/(2)}`

We will find the maximum speed v when r = 40 feet

so, substitute r = 40

`v=((5*40)/(2))^{(1)/(2)}=(100)^{(1)/(2)}=10`

So, the answer will be:

The car can travel up to 10 miles per hour.