A stunt cyclist rides on the interior of a cylinder 13 m in radius. The coefficient of static friction between the tires and the wall is 0.67. Find the value of the minimum speed (in m/s) for the cyclist to perform the stunt. (Assume the axis of the cylinder is vertical, so that the cyclist always maintains the same height.)

Respuesta :

Answer:

[tex]v=13.1m/s[/tex]

Explanation:

From the question we are told that:

Radius r=13

Coefficient of static friction \mu=0.67

Given the Centripetal concept

Generally the equation for Velocity v is mathematically given by

[tex]v=\sqrt{\frac{gr}{\mu}}[/tex]

[tex]v=\sqrt{\frac{9.81*13}{0.67}}[/tex]

[tex]v=13.1m/s[/tex]

The value of the minimum speed (in m/s) for the cyclist to perform the stunt is Given as

[tex]v=13.1m/s[/tex]