Question

As the earth rotates, what is the speed of a physics student in Miami, Florida, at latitude 26∘26∘? Ignore the revolution of the earth around the sun. The radius of the earth is 6400 kmkm. Express your answer with the appropriate units.

Answer 1

v = 418.31 m/s

Step-by-step explanation:

given,

Radius of earth = 6400 Km

latitude at Miami, Florida = 26°

first we have to find the radius of the rotation at that latitude.

radius = 6400 x 1000 x cos 26°

circumference will be equal to = 2 π r

cos θ is used because at equator angle is zero radius is maximum and cos θ is maximum at 0°

calculation of time to

time = 24 hr

t = 24 x 60 x 60 = 86400 s

`speed = (distance)/(time)`

`v= (2* \pi * 6400* 1000* cos 26^0)/(86400)`

v = 418.31 m/s

speed of a physics student in Miami, Florida is equal to v = 418.31 m/s