The radius of the earth's orbit around the sun is 1.5 x 10 11 m. Calculate the angular and linear velocity of the earth? - Wired Faculty

Motion In A Plane

Question

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The radius of the earth's orbit around the sun is 1.5 x 10¹¹ m. Calculate the angular and linear velocity of the earth?

Solution

Given,
Radius of Earth's orbit, r = 1.5 x 10¹¹ m
Time period of revolution of earth around the sun is 1 year.
That is,
T = 1 year = 365 x 24 x 60 x 60 s
Therefore,
Angular velocity, $straight omega space equals space fraction numerator 2 straight pi over denominator straight T end fraction$
$equals space fraction numerator 2 space cross times space open parentheses begin display style bevelled 22 over 7 end style close parentheses over denominator 365 space straight x space 24 space straight x space 60 space straight x 60 end fraction space equals space 1.99 space cross times space 10 to the power of negative 7 end exponent space sec$
Linear velocity, v = $straight omega space straight r$
$equals space 1.99 space cross times space 10 to the power of negative 7 end exponent space cross times space 1.5 space cross times space 10 to the power of 11 equals space 2.99 space cross times space 10 to the power of 4 space straight m divided by straight s$

Some More Questions From Motion in A Plane Chapter

Which of the followings is/are vector quantities: work, power, acceleration, mass, momentum?

Pick up the odd one from the following: force, linear momentum, mass, impulse.

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

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Motion In A Plane

The radius of the earth's orbit around the sun is 1.5 x 10¹¹ m. Calculate the angular and linear velocity of the earth?

Some More Questions From Motion in A Plane Chapter

Which of the followings is/are vector quantities: work, power, acceleration, mass, momentum?

Pick up the odd one from the following: force, linear momentum, mass, impulse.

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

What are polar vectors?

Give two examples of polar vectors.

What are axial vectors?

Give two examples of axial vectors.

What are tensors?

Give one example of tensor.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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Motion In A Plane

The radius of the earth's orbit around the sun is 1.5 x 1011 m. Calculate the angular and linear velocity of the earth?

Some More Questions From Motion in A Plane Chapter

Which of the followings is/are vector quantities: work, power, acceleration, mass, momentum?

Pick up the odd one from the following: force, linear momentum, mass, impulse.

Pick out the only vector quantities in the following list:Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list: force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

What are polar vectors?

Give two examples of polar vectors.

What are axial vectors?

Give two examples of axial vectors.

What are tensors?

Give one example of tensor.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

The radius of the earth's orbit around the sun is 1.5 x 10¹¹ m. Calculate the angular and linear velocity of the earth?

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.