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

Answer:

v = 418.31 m/s

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

$speed = \dfrac{distance}{time}$

$v= \dfrac{2\times \pi \times 6400\times 1000\times cos 26^0}{86400}$

      v = 418.31 m/s

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