Rotation

The factors that affect the magnitude of torques are three: the force F, the displacement D and the sine of the angle A between them. Torque T= FD sin A.

In Nature, variables are quaternions, and consist of a scalar and a vector part. This fact has not made its way into science and physics yet. It is like pre-spacetime physics when we had space And Time. Today we have scalar energy also called work And vector torque. Torque is really the energy vector.

In mechanical energy we have energy or work being force times displacement E=F.D. Torque in this system is T= FxD where A indicates the sine of the angle between the force and the displacement. T= FDsin A. Energy is also correctly seen to be Work= F.D= - FDcos A.

From this you see that vector energy is in general a quaternion:

E= FD = -FDcos A + FD sin A. The minus sign indicates negative energy called exergy (out energy like exercise) when the displacement and the force are in the same direction. Energy or positive energy is when the force and displacement are opposite then you have to put energy in, work.

If angle A is zero then there is only a scalar energy. if angle A is 90 degrees, thee is only torque or vector energy. I the angle is 45 degrees there is scalar and vector energy.

By applying the small force farther from the center of rotation.

That's exactly the reason why you need a longer wrench to crack the nut off of

the bolt when it's stuck. It's also exactly the reason why the child sits farther

from the pivot of the see-saw than her father does.

Rotation can refer to the act of movement or path around an axis, such as a heavenly body or a wheel. It can also refer to a regularly recurring succession, like the rotation of guards outside Buckingham Palace.

Angular displacement is measured in angles, usually degrees or radians. Especially when the unit radian is used, this unit is usually considered to be adimensional, since the radian is defined by the division (ratio) of two lengths: the length of an arc divided by the radius.

Torque is a movement force. Moment is a static force.
Torque is often presented as Nm/revolution and moment is typically presented as Nm.
The words "torque" and "moment" (of force) mean the same.

However, "torque" tends to be used when there is an axle or pivot to be turned around, while "moment" tends to be used in essentially non-rotational situations, such as analysis of forces on a beam.

Forces without torques are those that do not cause an object to rotate. They simply cause linear motion of an object without changing its orientation. Examples include pushing a car or lifting a box without any twisting or turning involved.

The torque is calculated as the force applied multiplied by the distance from the pivot point (in this case, the shoulder) to the line of action of the force. In this scenario, the torque would be the weight of the ball (mg) multiplied by the lever arm (the horizontal distance from the shoulder to the ball). The angle below horizontal does not affect the torque in this case.

Centrifugal force is used in a variety of applications such as in centrifuges to separate substances based on density, in washing machines to remove water from clothes during the spin cycle, and in amusement park rides to create rotational motion for thrill-seekers. Additionally, centrifugal force is also utilized in the design of rotating machinery like turbines and engines to help with stability and balance.

DC motors produce torque through the interaction between the magnetic field generated by the electromagnets in the stator and the magnetic field of the permanent magnets in the rotor. When current flows through the coils, it creates a magnetic field that interacts with the rotor's field, creating a force that rotates the rotor and produces torque.

The fan-like device that spins in a generator is called a rotor or an armature. This component is essential in converting mechanical energy into electrical energy within the generator.

limited i think by the intrinsic ability of a rotating object to 'stay together'; i have the same problem when trying to determine the maximum rate at which a spinning rotor can rotate in a vacuum when there are no forces to stop it...for eg. in a suspended magnetic field. it's complex, but i think you must work out the lateral force due to the angular velocity and check it against the yield stress of the object.

Torque in a DC motor is produced by the interaction between the magnetic fields created by the stator (fixed part) and the rotor (rotating part). As electric current flows through the coils in the stator, it creates a magnetic field that interacts with the permanent magnets or electromagnets in the rotor, causing it to rotate and produce mechanical torque.

The least count of a torque wrench is the smallest increment it can measure, typically around 0.1 Nm. So, a torque wrench with a scale that starts at 2.5 Nm would have a least count of 0.1 Nm, meaning it can measure in increments of 0.1 Nm from 2.5 Nm onwards.

You could have 'newton-centimeters', or 'newton-inches', or 'pound meters' etc.,

but you can't have 'newton pounds'.

Torque is (a distance) x (a force), but 'newton pound' is (force) x (force).

Whether or not that has any physical significance at all, it's surely not torque.

Angular measurement is a way to quantify the rotation of an object around a point. It is commonly used in mathematics, physics, and engineering to describe the position or orientation of an object in a circular or spherical coordinate system. The unit of angular measurement is usually degrees or radians.

To find the equivalent spring constant, you need to know the distance from the point where the force is applied to the axis of rotation. If this distance is 0.10 meters, then the equivalent spring constant would be 5 N/m (k = τ/θ).

The angular velocity of the Earth around its own axis is approximately 0.0000727 radians per second, which is equivalent to one revolution per 23 hours, 56 minutes, and 4 seconds.

If you take any energy off of the wheel, then it won't spin at 5 RPM any more.

And if you keep taking energy from it, then pretty soon it'll stop spinning.

You can get just as much energy out of it as it took to spin it up to 5 RPM.

Angular velocity can be calculated by dividing the change in angle by the time taken to make that change. Mathematically, angular velocity (ω) is given by the formula ω = Δθ/Δt, where Δθ is the change in angle in radians and Δt is the change in time in seconds.

Centrifugal force is an apparent force that acts on objects moving in a circular path, pulling them away from the center of rotation. It is not a "real" force like gravity or electromagnetic forces, but rather a result of inertia causing objects to continue moving in a straight line even when following a curved path.

Velocity ratio is the ratio of the distance moved by the effort to the distance moved by the load in a simple machine. It represents the trade-off between force and distance in a machine. A higher velocity ratio indicates that the machine can move the load a greater distance with a smaller input force.

The period of rotation is the time it takes for one full revolution. Since the object completes 15 revolutions in 40 seconds, the time for one revolution is obtained by dividing 40 seconds by 15, which gives a period of rotation of approximately 2.67 seconds per revolution.

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