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Energy from the Moon? Suppose that sometime in thefuture we decide to tap the moon's rotational energy for use onearth. In additional to the astronomical data in Appendix E,you may need to know that the moon spins on its axis once every 27.3 days. Assume that the moon is uniform throughout.(a) How much total energy could we get from the moon's rotation? (b) The world presently uses about $5.0 \times 10^{20} \mathrm{J}$ of energy per year. If in the future the world uses five times as much energy yearly, for how many years would the moon's rotation provide us energy? In light of your answer, does this seem like a cost-effective energy source in which to invest?

a) $3.15 \times 10^{23} \mathrm{J}$b) 158 year

Physics 101 Mechanics

Chapter 9

Rotational Motion

Physics Basics

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Equilibrium and Elasticity

Cornell University

University of Washington

Simon Fraser University

University of Winnipeg

Lectures

04:16

In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

02:21

In physics, rotational dynamics is the study of the kinematics and kinetics of rotational motion, the motion of rigid bodies, and the about axes of the body. It can be divided into the study of torque and the study of angular velocity.

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Energy from the Moon? Supp…

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How much energy would be r…

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What is the Specific Mecha…

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Calculate the kinetic ener…

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Phases of the Moon As the …

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Consider the Earth-Moon sy…

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Angular Velocity The Moon …

in the first part of this question, we have to kill. Let the patient kind of energy off the moon. No nicks, right? The formula for rotation, kinetic energy, kinetic energy rotation equals to one over two. I only that square. So call it equation one here, isa moment off in that show Off the Moon, which is a cool lento, Michael's too two by five m r squared and oh my God is defined as angular Velocity off the moon on it can be written in the form off Dante through this equation. Now setting the Williams off, I am America into Equation Wand. We will get kinda together. Your personal equals to one by two, multiplied by two by five m R square in tow. T W d Hold square. While sitting the values into this equation, we will get Connecticut that you traditionally calls to one by five into so 1.35 multiplied by tennis. Part 22 kg in tow, 1.7 for multiple opportunist bar, six meter old square into to pie Radian, divided by 27.3 months flour 24 months. Claverie, 2600 seconds Old square So this will give us Connecticut. The judicial equals two 3.16 month supply waiters for 23. Yo, now, let's come for the second part of this question in this part of the question we have to get lead the time taken. Do you apply this energy? But the time for which this energy can be used to this d this time can be killed planted by using my ratio. 3.16 month plan. Bitterness for 23 year old, rewarded by 5 to 5 point settlement. Elaborate in a spot 20 Your buddy here, which is a 2126 years. So this is that you can be your applies for 1 26 years. Let's come and on your prizing this energy for useful purposes. I think considering the expenses involved in the uprising, this moon's replacement kinetic energy this does not Seems a good idea. How do you apply this interview for so many years?

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