Calculate the Rotational Kinetic Energy of Earth on Its Axis

Calculate the rotational kinetic energy of Earth on its axis. Now we solve one of the rotational kinematics equations for αθ.

Openstax College Physics Solution Chapter 10 Problem 23 Problems Exercises Openstax College Physics Answers

Me 6 1024 kg Re 6400 Km asked Apr 7 2019 in Rotational motion by ManishaBharti 650k points.

. 2 2 E K K U I mv mgh The gravitational potential energy is converted into translational energy. We start with the equation ω2 ωo2 2 αθ. Of earth due to its rotation about its own axis.

A Calculate the rotational kinetic energy of Earth on its axis. A Calculate the rotational kinetic energy of Earth on. Using the values of angular velocity and moment of inertia we can find the value of rotational kinetic energy.

Find step-by-step Physics solutions and your answer to the following textbook question. College Physics 0th Edition Edit edition Solutions for Chapter 10 Problem 23PE. Answer 1 of 2.

Rotational kinetic energy can be expressed as. Dimensional Formula of Rotational Kinetic energy We know that rotational kinetic energy is written as KE frac 1 2 Iω2 The moment of inertia of any object of mass. A Calculate the kinetic energy that the earth has because of its rotation about its own axis.

Calculate the kinetic energy that the earth has because of a its rotation about its own axis and b its motion around the sun. The angular velocity of Earth is 729 x 10 -5 rads moment of inertia is 804 x 1037 kg m2. B What is the rotational kinetic.

We have considered that Earth is a perfect sphere in order to calculate. Radius of Earth 6371 km Mass of Earth Distance of Earth from Sun. Calculate the rotational kinetic energy of the earth about its own axis.

Assume that the earth is a uniform sphere and that. The earth has a mass of about 61024 kg an equatorial circumferencial velocity of about 460ms and its a sphere that would give you about 460². Calculate the angular momentum and rotational kinetic energy of the earth about its own axis.

2 2 2 2 final f f initial 0 0 1. The initial energy in the system is 2 2 initial R T grav 0 0 1 1. After substituting the values we get rotational kinetic of energy of Earth.

College Physics 0th Edition. We must convert the angular velocity to radians per second and calculate the moment of inertia before we can find K. Erotational 1 2I ω2 E rotational 1 2 I ω 2 where ω ω is the angular velocity and I I is the moment of inertia around the axis of rotation.

A Calculate the rotational kinetic energy of Earth on its axis. Given mass of the earth is 6 xx 10 24 kg and its radius 64 xx 103 km. The rotational kinetic energy is K 1 2I ω2.

Next we solve for αθ. Calculate the kinetic energy that the earth has because of a its rotation about its own axis and b its motion around the sun. Assume that the earth is a uniform sphere and that its path around the sun is circular.

Assume that the earth is a uniform sphere and that its path. Displaystyle alphathetafrac omega 2- omega_. Calculate rotational KE.

The rotational Kinetic energy of Earth ½ I ω2 ½ 969 1037 Kgm2 727 10-5 radsec 256 1029 Joules Newtons Second Law of Rotation To explain Newtons 2nd law. This is equal in 12 times 98 three times 10 to the 37th kilograms meter squared multiplied by 727 times 10 to the negative radiance for second quantity squared. Mass of the earth 6 1 0 2 4 k g and radius of the earth 6 4 0 0 k m.

Arrow_forward Calculate the rotational inertia of a sphere having a mass of 1000 g and a radius of 550 cm through its center as the. To get the kinetic energy you will need this formula ke12mv2 then i have calculated that the total earths kinetic energy by spinning is 48x1029 joules if we can think. B What is the rotational kinetic energy of Earth in its orbit around the Sun.

We continue to calculate the moment of inertia of Earth about its axis. And we find that the. I Earth I_text Earth I Earth.

K 1 2 I ω 2. The rotational kinetic energy of the Earth due to rotation about its axis is Given the following data. Dr Kim Dirks Dr Paul Peter Urone Dr Roger Hinrichs Rent Buy.

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