Question

A certain light truck can go around a flat curve having a radius of 150 m with a maximum speed of 35.0 m/s. With what maximum speed can it go around a curve having a radius of 82.5 m?

Answer 1

Answer: For radius 82.5 m, maximum speed would be 19.25 m/s.

Step-by-step explanation:

Since we have given that

With radius = 150 m

Maximum speed of light truck = 35.0 m/s

With radius = 82.5 m

We need to find the maximum speed of light truck.

Since there is direct variation.

So, according to question, it becomes,

$\dfrac{150}{35}=\dfrac{82.5}{x}\\\\150x=82.5\times 35\\\\150x=2887.5\\\\x=\dfrac{2887.5}{150}\\\\x=19.25$

Hence, for radius 82.5 m, maximum speed would be 19.25 m/s.