Solve the problem.
-The formulaa $\mathrm { v } = \sqrt { 2.5 \mathrm { r } }$ can be us can be ued to estimate the maximum safe velocity v, in miles per hour, at which a car can travel along a curved road with a radius of curvature r, in feet. To the nearest whole number, find the radius
Of curvature if the maximum safe velocity is 40.

Question

Solve the problem.
-The formulaa  $\mathrm { v } = \sqrt { 2.5 \mathrm { r } }$ can be us can be ued to estimate the maximum safe velocity v, in miles per hour, at which a car can travel along a curved road with a radius of curvature r, in feet. To the nearest whole number, find the radius
Of curvature if the maximum safe velocity is 40.

Quizplus · Accepted Answer

To find the radius of curvature $r$ when the maximum safe velocity $v$ is 40 miles per hour, we can rearrange the formula $v = \sqrt{2.5r}$ to solve for $r$. Squaring both sides of the equation gives $v^2 = 2.5r$. Substituting $v = 40$ and solving for $r$ gives $r = \frac{40^2}{2.5} = \frac{1600}{2.5} = 640$. Therefore, the radius of curvature is 640 feet.

Solve the Problem v=2.5r\mathrm { v } = \sqrt { 2.5 \mathrm { r } }v=2.5r​

Solve the Problem $\mathrm { v } = \sqrt { 2.5 \mathrm { r } }$