What is the moment of inertia for Earth?

What is the moment of inertia for Earth?

Moment of Inertia must always be defined about an axis. The Earth can be considered to have two moments of inertia – one defined about the polar axis (C); the other about an axis drawn through the equatorial plane (A)….Moment of Inertia.

	Moment of Inertia
2	0.367
3	0.339	<——- Closer to observed
4	0.338

What is the moment of the earth?

Earth rotates once in about 24 hours with respect to the Sun, but once every 23 hours, 56 minutes and 4 seconds with respect to other distant stars (see below). Earth’s rotation is slowing slightly with time; thus, a day was shorter in the past.

What is the moment of inertia of the earth around the sun?

Compared with the orbital angular momentum, the Earth’s spin angular momentum is negligible. So the total angular momentum of the Earth about the Sun is approximately 2.7 × 1040 kg m2 s−1.

What is the moment of inertia of Earth about its axis of rotation?

The moment if inertia of the earth about its axis of rotation is `9.83 xx 10^37 kgm^2` and if its angular velocity is `7.3 xx 10^-5 rad s^-1`.

What is the moment of inertia of Earth about its diameter?

Therefore, moment of inertia of the earth about its diameter is 1.638×10^38 kgm².

What is the moment of inertia of the earth use the uniform sphere approximation?

Assuming the earth to be a uniform solid sphere, we find from Table 9.1 that the moment of inertia is I = MR2. The mass and radius of the earth is M = 5.98 x 1024 kg and R = 6.38 x 100 m (see the inside of the text’s front cover).

What are the two moments of the earth?

Rotation and Revolution are two motions of the earth. When earth spins or rotates around its axis, that movement of spinning is called Rotation of Earth. And when earth spins or revolves around the sun, that movement is called Revolution of Earth.

What is the moment of inertia of earth about its diameter?

What is the moment of inertia of earth about its diameter taking it to be a sphere of radius 6400 km and mass 6 into 10 to the power 24 kg?

What is the moment of inertia of a solid sphere?

Solution : Moment of inertia of solid sphere about its diameter, `I=(2)/(5)MR^(2)=(2)/(5)[(4)/(3)piR^(2)rho]R^(2)=(176)/(105)rhoR^(5)`.

Why the moment of inertia of the Earth is actually smaller than the moment of inertia you calculated?

The moment is lower because the mass is concentrated in the center in of the earth.

Is revolution of Earth circular motion?

The two fundamental concepts which are studied in circular motion are rotation and revolution. While rotation means the movement in a circle round an axis, revolution is when an object moves in a circular path around another object or centre. The spinning of the Earth around its axis is known as rotation.

What is the daily motion of the Earth called?

rotation
One where it moves around the sun and in the other it moves around its own axis. These motion of the earth are known as revolution and rotation respectively. Revolution is an annual movement of earth and rotation is a daily movement of earth. Rotation is also called diurnal movement of earth.

What is the moment of inertia of solid sphere about its diameter?

Moment of a inertia of a sphere about its diameter is 2/5 MR2.

What is the moment of inertia of the Earth use the uniform sphere approximation?

What is the rotational kinetic energy of the Earth?

The rotational kinetic energy of the Earth’s rotation about its axis at the center of the Earth is one half times the moment of inertia of the sphere which is two times the mass of the Earth times its radius squared divided by five, and then we multiply that by the angular velocity of the Earth squared.

What is the revolving speed of Earth?

roughly 1,000 miles per hour
The earth rotates once every 23 hours, 56 minutes and 4.09053 seconds, called the sidereal period, and its circumference is roughly 40,075 kilometers. Thus, the surface of the earth at the equator moves at a speed of 460 meters per second–or roughly 1,000 miles per hour.

Why does earth spin on its axis?

Earth spins because of the way it was formed. Our Solar System formed about 4.6 billion years ago when a huge cloud of gas and dust started to collapse under its own gravity. As the cloud collapsed, it started to spin.

What are the 3 types of motion of the earth?

Answer. The Earth’s Three Motions. The Earth turns (rotation around the polar axis), goes along on its orbit (revolution around the Sun), swings smoothly as un unbalanced spinning top (equinoctial precession).

Why Earth rotates about its own axis?

Earth rotates because Sun attracts the earth and thus pulls earth towards it secondly due to earths revolution around sun it tends to go away from sun in direction of the tangent hence a rotational force (torque) acts on earth and it tends to rotate.