What is the linear velocity of a body on the surface of the earth at the equator? Given the radius of the earth is 6400 km . Period of rotation of the earth = 24 hours .

Question

What is the linear velocity of a body on the surface of the earth at the equator? Given the radius of the earth is 6400 km . Period of rotation of the earth = 24 hours . (A) 465ms- 1 (B) 165 m s- 1 (C) 665 m s- 1 (D) 410 m s- 1

Tardigrade Admin · Accepted Answer

ω =(2 π /2 4 × 6 0 × 6 0)= text7.26× 10- 5rads- 1 textitv= textitrω =6400× 103× text7.26× 10- 5=465ms- 1

Q. What is the linear velocity of a body on the surface of the earth at the equator? Given the radius of the earth is $6400 km$ . Period of rotation of the earth = $24 h o u rs$ .

$465 m s^{- 1}$

$165 m s^{- 1}$

$665 m s^{- 1}$

$410 m s^{- 1}$

$ω = \frac{2 π}{24 \times 60 \times 60} = 7.26 \times 1 0^{- 5} r a d s^{- 1}$
$v = r ω = 6400 \times 1 0^{3} \times 7.26 \times 1 0^{- 5} = 465 m s^{- 1}$

Q. What is the linear velocity of a body on the surface of the earth at the equator? Given the radius of the earth is 6400km . Period of rotation of the earth = 24hours .

465ms−1

165ms−1

665ms−1

410ms−1