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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

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.

What is central petal force?

Central petal force is the force exerted on the central petal of a wind turbine blade due to aerodynamic loads. It plays a crucial role in the structural design and performance of wind turbine blades, as it affects the overall efficiency and reliability of the turbine. Properly understanding and managing central petal force is essential for optimizing wind turbine operation.

Are planets held in orbit by balanced unbalanced centrifugal or centripetal force?

-- If all the forces on a planet were balanced, then the planet would move in

a straight line with constant speed, not in a curved path. So the forces on it

must be unbalanced.

-- That's easy to understand when you consider that there's only one force on

the planet ... the force of gravity that attracts it toward the sun. That force

is a centripetal one.

Centripetal Force is that force which we apply on the object?

Actually, centripetal force is the inward force that keeps an object moving in a circular path. It is not a force that we apply to the object, but rather a force that is required to maintain the object's circular motion. Examples of centripetal force include tension in a string for a swinging object or friction for a car going around a curve.

If the radius of rotation and the mass being kept constant how does the centripetal force vary with the speed of rotation of the body?

Recall centripetal force = m v^2 / r

As m and r are found to be constants then centripetal force F is directly proportional to the square of the velocity of the body

How does a change in radius effect linear velocity?

For circular motion, linear speed = angular speed (in radians) x radius. How the radius affects speed depends what assumptions you make about the problem. For example, if you assume the radius increases but the angular speed does not, then of course the linear speed will increase.

How does change in radius effect the linear speed?

The linear speed is directly proportional to the radius of rotation. An increase in radius will result in an increase in linear speed, while a decrease in radius will result in a decrease in linear speed. This relationship is governed by the equation v = ω * r, where v is linear speed, ω is angular velocity, and r is radius.

What force is a fictitious force that some people believe causes you ti feel as if you are being pushed outward from the center of a circle while traveling in uniform circular motion?

The fictitious force that appears to push outward on an object in circular motion is called the centrifugal force. It is not a genuine force but rather a perceived effect resulting from the inertia of the object trying to move in a straight line. In reality, the centripetal force, directed towards the center of the circle, is responsible for keeping the object in its circular path.

When one walks forward he interacts with the earth what is the momentumm of the recoil of the earth why don't we feel it?

Without getting into the difference between linear and angular momentum,

it should be enough to simply point out that the Earth's mass is equal to

the mass of something like 60 thousand billion billions of you, and that for

equal momentum, the velocities would be in the inverse of the same ratio.

Define angular velocityWhat is its SI unit?

Angular velocity is a measurement of how fast something is turning.

Everyone has heard of "RPM", which stands for "Revolutions Per Minute" ... how many complete turns an object makes in one minute. That's a perfectly good measurement of angular velocity, although in Physics, angular velocity is normally given in different units.

The standard unit for angular velocity is "radians per second".

Each complete turn covers (2 pi) radians (same as 360 degrees). And there are 60 seconds in one minute.

So if you know the RPM, you can multiply RPM by (2 pi / 60) = 0.10472 to get angular velocity in standard units.

An old LP phonograph record (remember those ?) playing at 33-1/3 RPM has an angular velocity of about 3.5 radians per second.

A car engine idling at 1,000 RPM is turning at about 104.7 radians per second.

What is the best example for conservation of angular momentum?

In case of Russian dance, the dancer will spin her body about the vertical axis passing through her toe. If she keeps extending her hands then number of rotation and so angular velocity will be less. If she brings her hands close to her body then number of rotations would increase. Same scene could be enjoyed in case of circus with girls hanging just with a tight hold with their teeth.

Can a body moving in variable speed move in circle?

Yes, a body moving at variable speed can move in a circle if it is subject to a centripetal force that keeps it curved along a circular path. This force is needed to constantly change the body's direction, allowing it to move in a circular motion despite changes in speed.

How is centripetal force affected by mass?

Centripetal force is not affected by mass. The formula for centripetal force is Fc = (mv^2) / r, where m is mass, v is velocity, and r is the radius of the circular motion. The mass only affects the inertia of the object in circular motion, not the centripetal force required to keep it moving in a circle.

What are the magnitude of the angular velocity and the angular accelaration of the second hand of a clock?

-- The angular velocity is

one revolution/minute = 360 degrees/minute = 6 degrees/second .

(2 pi) radians/minute = pi/30 radians per second . -- If the clock is working properly ... not starting, stopping, speeding up, or

slowing down ... then the angular acceleration of any of its hands is zero.

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