Does the angular velocity of the earth change if you take an imaginary elevator down 500...
Homework Answers
The earth spins about its own axis, and the angular momentum remains conserved in absence of any external torque. When an elevator is taken towards the center of earth the moment of inertia of earth system changes which changes its angular velocity. Hence we can say that angular velocity will change in the given scenario.
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Does the angular velocity of the earth change if you take an
imaginary elevator down 500...
You are moving into an apartment and take the elevator to the 6th floor. Suppose your...
You are moving into an apartment and take the elevator to the 6th floor. Suppose your weight is 730 N and that of your belongings is 980 N. (a) Determine the work done by the elevator in lifting you and your belongings up to the 6th floor (15.2 m) at a constant velocity. (b) How much work does the elevator do on you alone (without belongings) on the downward trip, which is also made at a constant velocity?
5*) Find the angular velocity of the Earth due to its daily rotation and express it...
5*) Find the angular velocity of the Earth due to its daily
rotation and express it in radians per second. Then use it, and a
model of the Earth as a solid sphere of mass M=
5.97 × 1024 kg and radius R
= 6.37 × 106 m, to estimate the angular momentum of the Earth due
to its rotation around its axis. (The result should be of the order
of 1033 kg m2/s. This is called the Earth’s “intrinsic”...
If we go from earth to a planet with stronger gravity how does the velocity change?
If we go from earth to a planet with stronger gravity how does the velocity change?
Earth with mass M. The angular velocity magnitude of the Earth relative to the inertial frame,...
Earth with mass M. The angular velocity magnitude of the Earth relative to the inertial frame, Ω. Find any cross products in this problem. This problem will have calculation in the non inertial frame S which rotates with the Earth about its axis. Earth is motionless in the S frame. The xyz coordinate system originates at the center of the Earth, the North Pole is on the positive z axis. At t = 0, a ball of mass m is...
What is your velocity with respect to the surface of the Earth? (This one's easy!) What...
What is your velocity with respect to the surface of the Earth? (This one's easy!) What is your velocity with respect to the center of the Earth? Please give your answer in km/s and miles per hour, and make sure to specify the direction as well! You may need to do a little research and look up a couple of numbers. What is your velocity with respect to the center of the Sun? Again, give your answer in km/s and...
Problem 11.26 (Multistep) Calculate the angular momentum of the Earth. (The angular momentum of t...
Problem 11.26 (Multistep)
Calculate the angular momentum of the Earth. (The angular
momentum of the Earth relative to the center of the Sun is the sum
of the translational and rotational angular momenta. The rotational
axis of the Earth is tipped 23.5° away from a perpendicular to the
plane of its orbit.)
Part 1
(a) Calculate the magnitude of the translational angular
momentum of the Earth relative to the center of the Sun.
kg·m2/s
the tolerance is +/-2%
By accessing...
Topic: Motion with Constant Angular Acceleration. 25.) The rotation of the Earth is slowing down. In...
Topic: Motion with Constant Angular Acceleration. 25.) The rotation of the Earth is slowing down. In 1977, the Earth took 1.01 s longer to complete 365 rotations than in 1900. What was the average angular deceleration of the Earth in the time interval from 1900 to 1977? Please show your complete solutions with explanation. Thank you.
The tidal forces between the Earth and the Moon slowed down the Moon’s rotation about its own axis until the rotation period became equal to the Moon’s orbital period around the Earth as we observe today.
The tidal forces between the Earth and the Moon slowed down the Moon's rotation about its own axis until the rotation period became equal to the Moon's orbital period around the Earth as we observe today. The same effect is also slowing down the Earth's rotation about its own axis and increasing the separation \(D\) between the Moon and the Earth at a rate of \(\Delta D / \Delta t=3.8 \mathrm{~cm}\) per year. In this problem, you can ignore the...
An 80 kg thin disk rolls down a plane. It has an angular velocity of ω=5...
An
80 kg thin disk rolls down a plane. It has an angular velocity of
ω=5 rad/sec and a velocity of v=2.5 m/sec. The disk has a radius of
500 mm. Calculate the kinetic energy of the disk.
n. An 80 kg thin disk rolls down a plane. It has an angular velocity of o=5 rad/sec and a velocity of v=2.5 m/sec. The disk has a radius of 500 mm. Calculate the kinetic energy of the disk 0=5 rad/sec G...
A ball is slowing down as it rolls on grass in a playground. It's angular acceleration...
A ball is slowing down as it rolls on grass in a playground. It's angular acceleration is -1.8rad/s2 and its linear acceleration is -0.045m/s2. a) What is the ball's diameter in centimetres? b) when the ball's speed is 0.14m/s, what is its angular velocity? c) If the ball's initial angular velocity was 9.0 rad/s, how long does it take to come to rest?
5*) Find the angular velocity of the Earth due to its daily
rotation and express it in radians per second. Then use it, and a
model of the Earth as a solid sphere of mass M=
5.97 × 1024 kg and radius R
= 6.37 × 106 m, to estimate the angular momentum of the Earth due
to its rotation around its axis. (The result should be of the order
of 1033 kg m2/s. This is called the Earth’s “intrinsic”...
Problem 11.26 (Multistep)
Calculate the angular momentum of the Earth. (The angular
momentum of the Earth relative to the center of the Sun is the sum
of the translational and rotational angular momenta. The rotational
axis of the Earth is tipped 23.5° away from a perpendicular to the
plane of its orbit.)
Part 1
(a) Calculate the magnitude of the translational angular
momentum of the Earth relative to the center of the Sun.
kg·m2/s
the tolerance is +/-2%
By accessing...
An
80 kg thin disk rolls down a plane. It has an angular velocity of
ω=5 rad/sec and a velocity of v=2.5 m/sec. The disk has a radius of
500 mm. Calculate the kinetic energy of the disk.
n. An 80 kg thin disk rolls down a plane. It has an angular velocity of o=5 rad/sec and a velocity of v=2.5 m/sec. The disk has a radius of 500 mm. Calculate the kinetic energy of the disk 0=5 rad/sec G...
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