As the earth rotates, what is the speed of a physics student in miami, florida, at latitude 26∘? ignore the revolution of the earth around the sun. the radius of the earth is 6400 km. express your answer with the appropriate units. vstudent = 416 ms

Explanation:

given,

Radius of earth = 6400 Km

speed of a physics student in Miami, Florida, at latitude 26° = v

time period of rotation = 24 hour = 24 × 3600

                                                       = 86400 s

distance = speed × time

hence, the velocity of the student is equal to

The speed(v) of a physics student in Miami, Florida is 418.32 m/sec

From the given information;

The radius of the physics student at latitude 26° can be computed as:

= 6400 cos(26°) × 1000 m

= 6400 (0.89879) × 1000 m

Assuming the circumference of the rotation  represents the distance which is:

= 2πr

= 2π (6400 (0.89879) × 1000 m)

Then, using the relation:

Speed = distance/ time

where;

Then, the speed of the physics student in Miami is:

Speed = 2π 6400 (0.89879) × 1000 m /  86400 sec.

Speed = 418.32 m/sec

Learn more about rotational speed here:

link