Question

The formula v= 42.5r can be used to estimate the maximum safe velocity, v, in miles per hour, at which a car can travel if it is driven along a curved roadius of curvature r in feet. Find the maximum safe speed to the nearest whole number if a cloverleaf exit on an expressway has a radius of curvature of 290

Answer 1

Answer: $V=\text{ 12325 miles per hour}$

Explanation:

Given:

$\begin{gathered} V\text{ = 42.5r} \\ where\text{ V = maximum safe velocity} \\ r\text{ = radius of curvature} \end{gathered}$

To find:

the maximum safe speed when the radius of curvature is 290

To determine the velocity, we will substitute the values into the formula:

$\begin{gathered} V\text{ = 42.5\lparen290\rparen} \\ \\ V=\text{ 12325 miles per hour} \end{gathered}$