The earth is 149 x 1011 m from the sun if the earth requires...

Transcript

00:01 Hello everyone we have a questionnaire in which we're given the time period of the earth let the time period be t and it is given us 365 .25 days we need to convert it to the aside of time which is seconds so the time period t becomes 365 .25 25 multiplied by 24 multiplied by 60 multiplied by 60 this gives us the time period to be equal to 3 .153 multiplied by 10 to the part 7 seconds the average distance between the sun and the earth let us consider that to be r is given as 1 .5 multiplied by 10 to the power 8 kilometers in a size the distance will be 1 .5 multiplied by 10 to the power 11 meter we are also given the mass of the earth which you consider as m and it is equal to 6 times 10 to the power 24 k g now between the sun and earth there will be a centripetal force a centripetal force is a kind of force which acts towards the center of a circle on an object which is having a circular motion.

01:33 We have to find out the value of this centripetal force which we consider as f.

01:38 To find out the centripetal force we need the speed of the object which is the speed of the earth.

01:45 We take the speed to be v and it will be equal to the distance that is covered by the earth divided by the total time taken.

01:56 Since the earth is moving in a circular motion so the distance will be the circumference of the circle which is given by 2 pi r r is the radius of that circle and that radius is equal to the distance between the earth and the sun because the earth is revolving around the sun divided by the time taken is the time period t now putting the known values the speed v is equal to 2 pi multiplied by r which is 1 .5 multiplied by 10 to 11 meter divided by the time period t which is given as 365 .25 days we have already converted that to seconds and this 3 .153 multiplied by 10 to the bar 7 seconds so the speed comes up to be equal to 2 .989 multiplied by 10 to the bar 4 meter per second now we can find out the centributal force the centributal force f is given by the mass of the object multiplied by square of the speed divided by the radius of the circular orbit...

Question

The Earth is 1.49 x 1011 m from the Sun. If the Earth requires 365.25 days to go once around the Sun, what is the magnitude of the centripetal force acting on the Earth?

Question

The Earth is 1.49 x 1011 m from the Sun. If the Earth requires 365.25 days to go once around the Sun, what is the magnitude of the centripetal force acting on the Earth?

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