Question

A Category 1 hurricane with a radius of 70km has sustained tangential winds of about 33 m/s. What is the acceleration of a particle on th edge

of the hurricane.

Answer 1

`a_c=0.016 \ m/s^2`

Step-by-step explanation:

Centripetal acceleration: Is the acceleration experienced by an object while in a uniform circular motion. It points toward the center of rotation and is perpendicular to the linear velocity v and has the magnitude:

`\displaystyle a_c=(v^2)/(r)`

Where v is the linear velocity and r is the radius of the circle.

It's given a hurricane with a radius r=70 Km = 70,000 m has a tangential wind velocity of v=33 m/s. The acceleration of a particle lying on the edge of the hurricane is:

`\displaystyle a_c=(33^2)/(70,000)`

`\boxed{a_c=0.016 \ m/s^2}`