If the radius of the earth’s orbit around the sun is 150 million kilometers, what is the speed of the earth in its orbit in kilometers per hour ?

1 Answer
Jun 6, 2018

I tried this:

Explanation:

We can use some relationships from Kinematics (rotational and linear):

1) linear (vv) and angular (omegaω) velocity are related as:

v=omegarv=ωr

2) angular velocity is the circumference described in time or:

omega=(2pi)/Tω=2πT

where TT is the Period or time for an entire (2pi2π radians) orbit.

In our case: T=1"year"=365*24=8760hT=1year=36524=8760h

so omega=(2*3.14)/8760 rad \/hω=23.148760rad/h

so that:

v=omega r=(2*3.14)/8760*150xx10^6=1.07xx10^5 km \/hv=ωr=23.148760150×106=1.07×105km/h