Question

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

Answer 1

Answer:

$v =418 m/s$

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

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

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

$v =0.41831 Km/s$

$v =418 m/s$

hence, the velocity of the student is equal to$v =418 m/s$