3 GeodynamoThe mass of the earth is M = 6.0 x 1024 kg and its radius is R = 6.4 x 10° m.(a) Estimate the rotational kinetic energy of the earth, in joules (J).(b) The world's annual power consumption is about 20 TWh. If the earth's rotational kinetic energy could be convertedto electrical power, how long could it supply energy to the human race, assuming our power consumption remainedconstant? Report your answer in seconds and in years.

The earth is in the form of a solid sphere. The moment of inertia of solid sphere of uniform density…

Answered: The mass of the earth is M = 6.0 x 1024…

Similar questions

A potter's wheel—a thick stone disk with a radius of 0.570m and a mass of 118kg—is freely rotating at 41.0rev/min. The potter can stop the wheel in 5.30s by pressing a wet rag against the rim and exerting a radially inward force of 68.1N. Calculate the effective coefficient of kinetic friction between the wheel and the rag.
There are two wheels. Wheel one has a constant of Ω=2π/3 s^-1 and a radius of 0.3m. Wheel two has a constant a=π/2 s^-2, an initial Ω=-π/10 a d a radius of 0.2m. If these two wheels were to start at x=0, which one would travel 10m first?
A thin cylindrical ring starts from rest at a height h1 = 98 m. The ring has a radius R = 34 cm and a mass M = 4 kg. Part (a) Write an expression for the ring's initial energy at point 1, assuming that the gravitational potential energy at point 3 is zero. Part (b) If the ring rolls (without slipping) all the way to point 2, what is the ring's energy at point 2 in terms of h2 and v2? Part (c) Given h2 = 32 m, what is the velocity of the ring at point 2 in m/s? Part (d) What is the ring's rotational velocity in rad/s? Part (e) After passing point 2 the hill becomes frictionless and the ring's rotational velocity remains constant. What is the linear velocity of the ring at point 3 in m/s?
The figure shows a ball with mass m = 0.69 kg attached to the end of a thin rod with length L = 0.99 m and negligible mass. The other end of the rod is pivoted so that the ball can move in a vertical circle. (a) What initial speed must be given the ball so that it reaches the vertically upward position with zero speed? What then is its speed at (b) the lowest point and (c) the point on the right at which the ball is level with the initial point? (d) If the ball's mass were doubled, what would the answer to (a) be?
What is the kinetic energy of a 123 cm long thin uniform rod with a mass of 458 g that is rotating about its center at 4.0 rad/s? Give your answer in Joules.
Problem 151. One end of a rod of mass 1 kg and of length 1 m can freely rotate about a lixed horizontal axis. Initially the rod makes an angle of 30° to the horizontal. A thread of length 1.3 m is attached t0 the (wo ends of the rod. A small pulley can run without friction along the thread, and a weight of mass 0.2 kg is suspended on the axis of the pulley. Determine the work needed to lit the rod to a horizontal position. (Use the value g= 10 m/s? for the acceleration due to gravity.) 30° 1 m
The torque that a motor develops depends on the rotation rate of its drive shaft according to τ(ω) = 137 - 13ω (N m), where the angular velocity is measured in rad/s. What is the maximum power output of this engine, in W? (Please answer to the fourth decimal place - i.e 14.3225)
What is the angle between the vectors a = (10, -10, 0) and b = (-5, 5, 2), in radians?
How much rotational kinetic energy in joules is there in a disk of radius 0.2 meters and mass 33 kg rotating at 1000 turns per second? Give your answer in joules.
In a satellite model for a science project, given the masses of the three satellites mA=1.4 kg, mp=2.8 kg, and mc =4.6 kg that are connected with massless rods, joined at the point the rotation axis is passing through. The satellites have the distances RA=1 m, RB rad = 0.9 m, and Rc =1.5 m, from the rotation axis. The system rotates with an angular speed w = 2.3 mA RA RB Rc MB 1. Calculate the moment of inertia /; for this model: /; = kg m² 2. Calculate the magnitude of the angular momentum L; = m2 kg 3. Calculate the rotational kinetic energy K;= 4. As the system is rotating counter-clockwise the direction of the vector is The mass mc was not properly glued and breaks away during the rotation. 1. Calculate the moment of inertia If for this model now. If= kg m2 2. Using the conservation of angular momentum, calculate the angular speed wf after the mass mc has broken away during rad the rotation. Wf= 3. Calculate the rotational kinetic energy in this situation: K=