Which of the following statements are true? For a particle on the surface of the earth:

Options

A. the linear speed is minimum at the equator
B. the angular speed is maximum at the equator
C. the linear speed is minimum at the poles
D. the angular speed is `7.3xx10^(-5) rads^(-1)` at the equator

Answer

C, D

Explanation

Linear speed is `v=romega`. At the equator, the radius of the earth `r` is maximum. Therefore `omega=v/r` is minimum. Also,
`omega=(2pi)/T=(2xx3.14)/(24xx60xx60)=7.3xx10^(-5)rads^(-1)`
Hence the correct choices are c and d.