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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

What is the relationship between applied torque and angle of twist?

The relationship between applied torque and angle of twist is described by Hooke's Law for torsion, which states that the angle of twist (θ) is directly proportional to the applied torque (T) for a given material and geometry. This relationship can be expressed mathematically as T = GJ(θ/L), where G is the shear modulus, J is the polar moment of inertia, and L is the length of the material being twisted. As torque increases, the angle of twist increases linearly, provided the material remains within its elastic limits. Beyond this limit, the material may experience permanent deformation.

What is linear torque?

Linear torque typically refers to the torque generated in a linear motion system, where a force is applied to produce rotational motion around an axis. It is often associated with linear actuators or mechanisms that convert linear force into rotational motion. In this context, torque is calculated as the product of the applied force and the distance from the pivot point to the line of action of the force. This concept is essential in applications involving gears, levers, and other mechanical systems.

What is the rule for a counterclockwise rotation about the origin of 270?

A counterclockwise rotation of 270 degrees about the origin is equivalent to a clockwise rotation of 90 degrees. To apply this transformation to a point (x, y), you can use the rule: (x, y) transforms to (y, -x). This means that the x-coordinate becomes the y-coordinate, and the y-coordinate becomes the negative of the x-coordinate.

Who was the founder of torque?

The term "torque" refers to a concept in physics and engineering, rather than a specific entity or organization that could be founded. However, if you are referring to the company Torque, please provide more context, as multiple businesses might use that name. If you meant something else, please clarify for a more accurate response.

What is an example of Torque?

An example of torque is using a wrench to tighten a bolt. When you apply a force to the end of the wrench, it creates a rotational effect around the bolt, which is the axis of rotation. The longer the wrench, the greater the torque produced for the same amount of applied force, demonstrating how torque depends on both the magnitude of the force and the distance from the pivot point.

What is Example of centripetal machine?

An example of a centripetal machine is a washing machine during the spin cycle. In this process, the drum rotates rapidly, creating a centripetal force that pushes the water and dirt outward to the sides, allowing for effective extraction of water from the clothes. This centripetal action is essential for enhancing the washing efficiency and ensuring that clothes come out cleaner and less wet.

Can you use clobetasol for angular chelitis?

Clobetasol is a potent topical corticosteroid that may be used to reduce inflammation in various skin conditions. However, it is generally not the first-line treatment for angular cheilitis, which is often caused by fungal or bacterial infections, or vitamin deficiencies. Treatment typically involves antifungal or antibacterial medications, along with addressing any underlying issues. Always consult a healthcare professional for appropriate diagnosis and treatment options.

What are some non examples of rotation?

Non-examples of rotation include linear motion, such as a car driving straight down a road, or a person walking in a straight line. Additionally, an object sliding across a surface without pivoting, like a book being pushed across a table, does not involve rotation. Another example is a pendulum swinging back and forth around a fixed point, as this action involves oscillation rather than a full rotation about an axis.

Why the torque is maximum when the plane is horizontal and falls to zero when it is vertical?

Torque is maximized when the plane is horizontal because the force due to gravity acts perpendicularly to the lever arm, resulting in the greatest rotational effect. As the plane tilts towards a vertical position, the angle between the force of gravity and the lever arm decreases, leading to a reduction in torque. When the plane is completely vertical, the force of gravity acts parallel to the lever arm, causing the torque to drop to zero. Thus, the orientation directly influences the effectiveness of the force in creating rotational motion.

Determine the speed of rotation of a 20 tooth gear when it is driven by a 40 tooth gear and rotating at 10 rpm?

To determine the speed of rotation of a gear driven by another gear, you can use the gear ratio formula: Gear Ratio = Number of Teeth on Driven Gear / Number of Teeth on Driving Gear. In this case, the gear ratio is 40/20 = 2. Since the driving gear is rotating at 10 rpm, the driven gear will rotate at 10 rpm / 2 = 5 rpm.

How did earth start to spin?

Oh, dude, like, billions of years ago, Earth was just chilling in space, minding its own business, and then BAM! Some crazy cosmic event like a massive collision or gravitational pull probably gave it a good spin. And like, ever since then, it's been twirling around like a top, giving us day and night and making sure we don't all fly off into space. Cool, right?

If gear X turns clockwise at a constant speed of 10 RPM How does gear Y turn?

Well, honey, if gear X is turning clockwise at a steady 10 RPM, gear Y will also turn clockwise at the same speed if they are directly connected. Now, if gear Y is connected to gear X in a different way, like with different sized gears or belts, then the speed and direction could vary. But hey, as long as gear X keeps on chugging along at 10 RPM, gear Y will follow suit in some way or another.

How do rotation and revolution explain sunrise and sunset?

Sunrise and sunset are explained by the rotation and revolution of the Earth. The Earth rotates on its axis, causing the appearance of the sun rising in the east and setting in the west. As the Earth revolves around the sun, the angle at which sunlight hits different parts of the Earth changes, leading to the changing lengths of days and nights throughout the year. This phenomenon is known as the Earth's axial tilt, which causes the changing seasons and the variation in the timing of sunrise and sunset.

What is the angular velocity of a vortex in obliquity?

The angular velocity of a vortex in obliquity refers to the rotation speed of the vortex in a tilted or inclined manner. It can be calculated using the formula: angular velocity = tangential velocity / radius of the vortex. The obliquity can affect the way the vortex rotates and moves within a fluid medium.

Can Magnets be used to cause centrifugal force?

Yes a central magnet rotating with an array of magnetic material surrounding it spun at the relative speed so as not to defeat the magnetic field would create a centrifugal arrangement if that is the query.

What is the pressure inside an inverted hollow cylinder in water and how to calculate it?

The pressure inside an inverted hollow cylinder in water is equal to the pressure at the depth of the cylinder's centroid multiplied by the specific weight of water. To calculate it, use the formula: pressure = (specific weight of water) * (depth of centroid of cylinder).

Who invented angular momentum?

The concept of angular momentum was developed by Sir Isaac Newton in the 17th century. He observed that objects in motion can possess a type of rotational momentum, which is now known as angular momentum.

How does centripetal force act on a satellite in orbit?

Centripetal force acts as a center-seeking force that keeps the satellite in orbit by pulling it towards the center of the orbital path. This force is necessary to balance the satellite's inertia and keep it moving in a circular path around the Earth. The gravitational force between the satellite and the Earth provides the centripetal force required for the satellite to maintain its orbit.

Does the Coriolis effect influence tides?

No, the Coriolis effect does not directly influence tides. Tides are primarily caused by the gravitational pull of the moon and sun on the Earth's oceans. The Coriolis effect does affect ocean currents and winds, but not tides.

What is the source of the centripetal force that keeps Earth in orbit around the Sun?

The centripetal force that keeps Earth in orbit around the Sun is caused by the gravitational attraction between Earth and the Sun. This force pulls Earth towards the Sun and prevents it from moving in a straight line, instead forcing it to travel in a curved path around the Sun.

What is one word that has rotational symmetry?

"DEED" is a word that has rotational symmetry.

How using Earth's rotation speed to escape gravity?

Earth's rotation speed doesn't affect the ability to escape Earth's gravity. Escaping Earth's gravity requires reaching a velocity of about 11.2 km/s regardless of Earth's rotation speed. Earth's rotation does provide a slight boost to the velocity required to escape in the direction of the rotation.

Why are centrifugal forces important in tides?

Centrifugal forces generated by the Earth's rotation cause a bulging effect in the oceans, creating two tidal bulges on opposite sides of the planet. This, combined with the gravitational forces from the Moon and Sun, leads to the formation of tides. The interplay between gravitational and centrifugal forces influences the timing and height of tides.

What force acts as the centripetal force for a plane?

In a plane, the centripetal force required to maintain a circular path is provided by the lift force generated by the wings. As the plane turns, the wings generate a component of lift that acts towards the center of the circle, providing the necessary centripetal force.