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Rotation

Classical mechanics doesn't just describe how an object's position behaves under external influences, but also how its orientation behaves. Using the same principles found in Newtonian mechanics, laws and relations governing rotation can also be derived. Please direct all your questions about moments of inertia, angular velocity, angular momentum, centripetal force, centrifugal force, torque, and spin here.

645 Questions

Which physical quantity is conserved of an earth satellite?

Velocity of satellite and hence its linear momentum changes continuously due to the change in the direction of motion in a circular orbit. However, angular momentum is conserved as no external torque acts on the satellite.

How does newton's first law work?

Newton's first law states that an object at rest will stay at rest, and an object in motion will stay in motion at a constant velocity unless acted upon by an external force. This means that an object will continue its current state of motion unless another force acts upon it to change that motion. It is often referred to as the law of inertia.

Is angular speed a vector?

No, angular speed is a scalar quantity. It represents how fast an object is rotating around an axis and is measured in radians per second. It does not have a directional component like a vector quantity.

When earth angular velocity increase then gravitational acceleration increase?

Let's be very accurate when describing accelerations in this question.

Consider a person at the equator. The gravitational force of attraction on him is constant whether or not the earth is rotating. This acceleration is called the acceleration due to gravity (ag)

Now, since the earth is rotating about its axis, there has to be a centripetal force on the person. It is the gravitational force which provides the centripetal force. Thus, there is a centripetal acceleration on the person (ac)

Finally, the rest of the gravitational force causes the person to accelerate towards earth. This is called the acceleration of free fall (af)

This gives ag = ac + af

ac is given by the equation: ac = w2r

where w is the angular velocity and r is the radius of rotation

If the angular velocity of the earth increases, centripetal acceleration will increase.

af = ag - w2r

Therefore, the acceleration of free fall will decrease.

Is localzenith is perpendicular to rotation of axis or center of eirth?

The local zenith is perpendicular to the rotation axis of the Earth at a specific location. It represents the point directly above an observer, pointing towards the celestial sphere. The rotation axis of the Earth is an imaginary line around which the Earth spins.

Why do large fan blades take LONGER time to stop rotating than shorter blades?

Large fan blades have more mass and therefore more inertia, which allows them to keep rotating for a longer time before friction and air resistance slow them down. On the other hand, shorter blades have less mass and less inertia, causing them to stop rotating more quickly.

Do sea shells spiral in opposite directions with the direction of the Coriolis force of the hemisphere that they are in?

No, the direction shells spiral in is determined by the genetics of the species. The influence of the Coriolis force on something as small as a sea shell is negligible.

Why does momentum have no designated SI unit name?

Momentum is a vector quantity, calculated as the product of an object's mass and velocity. Its SI unit is kilogram meters per second (kg m/s), which represents the combination of mass (kg) and velocity (m/s) in defining momentum. Momentum does not have a separate designated unit name because it is derived from fundamental SI units.

When earth rotates why don't we feel the rotation of the earth?

Because we are moving along with the earth, and there is no relative motion between the earth and us. If we are seated on a train and watching the scenery go by, we don't "feel" the motion of the train as it sails down the track at freeway speeds (the jostling of the train aside). Same thing. It's a "frame of reference" thing from physics 101.

The angular diameter of an object is inversely proportional to its distance from the observer?

Yes, that's correct. The angular diameter of an object decreases as its distance from the observer increases. This relationship is based on the formula for angular diameter, which states that the apparent size of an object in the sky depends on both its actual size and its distance from the observer.

Rotation time of earth?

The rotation time of the Earth is approximately 24 hours, which is the time it takes for the Earth to make one complete rotation on its axis. This rotation is what causes day and night on Earth. The rotation speed can vary slightly due to factors like seasonal changes and gravitational interactions with other celestial bodies.

What is Earth rotation?

The rotation of the Earth is the Earth spinning on its axis, the pole extending from north to south, once every 23 hours 56 minutes and 4 seconds, roughly.

Revolution is the word describing earth's yearly orbit around the sun.

There are several implications of the Earth's rottation, for example: days and nights, timezones, different length of the daytime during the year (it's because rotation, revolution and axial tilt of the Earth). You can observe Earth's rotation, solar time changing, seasonal Earth's time changing etc. on Earth Time Clock (see: related links)

Why the coriolis effect increase with increase latitude?

The Coriolis effect increases with increasing latitude because the speed of rotation of the Earth is greatest at the equator and decreases towards the poles. This variation in rotational speed causes a greater deflection of moving objects at higher latitudes, resulting in a stronger Coriolis effect.

What cause of rotation of earth?

The rotation of the Earth is primarily the result of its initial spin and angular momentum created during its formation. This rotational motion has been maintained over billions of years due to the conservation of angular momentum, with minor adjustments caused by factors like tidal interactions with the Moon and the Sun.

Is torque is a scalar or a vector quantity?

Since torque is a force, and as such has a direction, it is a vector.

Ten inch pounds of torque equals 13.558 newton meters?

That is correct. To convert inch-pounds to newton meters, you can use the conversion factor of 0.112984829. Therefore, 10 inch-pounds of torque is equivalent to 1.128 newton meters.

If the net force on an object is 0 is the net torque 0?

Not necessarily. The net force being 0 means the object is in translational equilibrium, but the net torque can still be non-zero if there are unbalanced forces causing rotation.

Angular momentum about the center of the planet is conserved?

Angular momentum is conserved when there is no external torque acting on a system. For a planet, the net torque acting on it is negligible, so its angular momentum about its center will be conserved unless acted upon by an external force. This conservation principle is a consequence of the rotational symmetry of the system.

If the mine winch drum diameter is 6m, calculate how far cage will drop for each single rotation of the drum, use the formula c =2rrr?

If the mine winch drum diameter is 6m, the radius (r) would be half of that, which is 3m. Using the formula c = 2πr, where r = 3m, we can calculate the circumference of the drum to be c = 2 x π x 3 = 6π meters. Therefore, for each single rotation of the drum, the cage will drop a distance of 6π meters.

Rotation?

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How would you describe the rotation?

Rotation refers to an object's spinning movement around an axis. It involves each point of the object moving in a circular path at the same angular velocity. Rotation can be clockwise or counterclockwise, and the speed of rotation is measured in degrees per unit of time.

A planet revole around the sun under the affect of gravitation exerted by the sun why the torque on the planet due to gravitation force is zero?

Because torque is (magnitude of the force) x (distance between the point

where the force is applied and the center of rotation).

Gravitational force is always directed toward the center of rotation, so the

second factor is zero, and the torque is therefore zero.

What could be the highest value for orbital angular momentum?

The highest value for orbital angular momentum is determined by the quantum number l, which can range from 0 to (n-1) where n is the principal quantum number. Therefore, the highest value for orbital angular momentum is (n-1)ħ, where ħ is the reduced Planck constant.