×
×

# (a) Calculate the rotational kinetic energy of Earth on ISBN: 9780130606204 3

## Solution for problem 23PE Chapter 10

Physics: Principles with Applications | 6th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Physics: Principles with Applications | 6th Edition

4 5 1 243 Reviews
26
2
Problem 23PE

(a) Calculate the rotational kinetic energy of Earth on its axis. (b) What is the rotational kinetic energy of Earth in its orbit around the Sun?

Step-by-Step Solution:

Step-by-step solution Step 1 of 4 The rotational kinetic energy of the Earth is calculated as, Here is the moment of inertia of the Earth and is the angular velocity of the Earth, Step 2 of 4 (a) The moment of inertia of the Earth is calculated same as a solid sphere, Here is the mass of the Earth, is the radius of the Earth. Substitute, As, the earth revolves radians every 24 hours, so, the angular velocity of the Earth is calculated as, The rotational kinetic energy of the Earth is, Substitute, for and for . So, the rotational kinetic energy of the Earth is .

Step 3 of 4

Step 4 of 4

##### ISBN: 9780130606204

Unlock Textbook Solution