Question

A motor-cycle rider going 90km/hr around a curve with a radius of 100m must lean at an angle to the vertical. The angle at which he leans is *​

Answer 1

The angle of inclination of the rider to the vertical is 32.5⁰.

Step-by-step explanation:

Given;

linear speed of the motor cycle, v = 90 km/hr = 25 m/s

radius of the circle, r = 100 m

The angle of inclination of the rider to the vertical is calculated using banking angle formula;

`\theta = tan^(-1)((v^2)/(rg) )\\\\\theta = tan^(-1) ((25^2)/(100 * 9.8) )\\\\\theta = 32.5 ^0`

Therefore, the angle of inclination of the rider to the vertical is 32.5⁰