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The earth revolves around the sun in an ...

The earth revolves around the sun in an orbit of radius `15xx10^(10)` m .Find the angular and linear velocity of the earth . Also calculate the angle through which the earth revolves in a day .

Text Solution

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Given , radius , `r=15xx10^(10)m`
Time period of revolution , T=360 days
`=360xx24 xx60xx60s`
Angular velocity
`omega=(2pi)/(T)`
`=(2xx22)/(7xx360xx24xx60xx60)=2xx10^(-7) rad//s`
Linear velocity
`v=romega=15xx10^(10)xx2xx10^(-7)`
`=30xx10^(3)=3xx10^(4)m//s`
The earth revolves through an angle of `2pi` rad in 365 days
`therefore 360 days =2pi ` radian
`1 day=(2pi)/(360)=0.0172` rad.
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