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
[tex]speed = \dfrac{distance}{time}[/tex]
[tex]v= \dfrac{2\times \pi \times 6400\times 1000\times cos 26^0}{86400}[/tex]
v = 418.31 m/s
speed of a physics student in Miami, Florida is equal to v = 418.31 m/s
