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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

At what speed would a person in the gondola have a centripetal acceleration of 7.1 g?

To calculate the centripetal acceleration of a person in the gondola, use the formula a = ω^2 * r, where ω is the angular velocity and r is the radius. Convert 7.1 g into m/s^2 to get 69.83 m/s^2. If the radius is 10 meters, the angular velocity would need to be approximately 8.4 rad/s for the person to experience a centripetal acceleration of 7.1 g.

How does rotation differ from circumduction?

Rotation involves, Rotation of the head, neck and lower limb and circumduction, abduction is the angular movements: abduction, adduction and circumduction of the upper limb at the shoulder

How is centripetal force created?

You have a centripetal force whenever you have any force that attracts an object towards the center of its circular movement. In some cases, the centripetal force is what keeps an otherwise free object in a circular (or elliptical) trajectory in the first place - like when the Sun attracts the planets. In other cases - such as in a flywheel - the outer parts pull outwards (because of their inertia), so, by Newton's Third Law, the center of the movement pulls inward, providing the centripetal force. (If the outward pull is too strong, the objects that moved in a circular trajectory will break away.)

What is the formula used to equate torque?

Torque can be calculated using the formula: Torque = Force x Distance. Where force is the amount of force applied and distance is the distance between the point of force application and the axis of rotation.

Where does rotation occur?

Rotation typically occurs around an axis, point, or center of an object. In physics, rotation refers to the circular movement of an object around a fixed point or axis.

What is the angular fringe width in newtons rings?

The angular fringe width in Newton's rings is given by the equation δθ = λ / R, where δθ is the angular fringe width, λ is the wavelength of light, and R is the radius of curvature of the lens or mirror producing the rings. It represents the distance between adjacent bright or dark fringes in the pattern.

How is velocity and the radius related to the centripetal acceleration?

Centripetal acceleration is directly proportional to velocity squared and inversely proportional to the radius of the circular path. This means that as velocity increases, centripetal acceleration increases, and as the radius of the circle increases, centripetal acceleration decreases.

What is the difference between centrifugal and coriolis force?

Centrifugal force is an outward force that acts on an object moving in a curved path, pushing it away from the center of rotation. Coriolis force, on the other hand, is a deflective force that results from the rotation of the Earth, causing objects to be deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere.

What is the net torque acting on an object in rotational equilibrium?

The net torque acting on an object in rotational equilibrium is zero. This means that the sum of all torques acting on the object is balanced, causing it to remain at rest or maintain a constant rotational speed.

What is moment of inertia and how does it effect on angular speed?

Moment of Inertia is defined as the product of mass and square of distance from its axis of rotation and it is denoted by I.

I=mR2

Moment of Inertia depends upon mass from the axis of rotation of wheel rim e.g because the mass of big bicycle lie away from the axis of rotation of wheel rim.So M.O.I of big bicycle is Small than small Bicycle.

How do spin dryer dry clothes?

Basically the clothing is rotated in a ventilated bucket into which hot air is blown.... NO not true- a spin drier works by using a centrifugal action - that is as clothes spin at high speed the water in them is forced outward into the drum.

What is angular width?

Angular width refers to the extent of an object or region in terms of angle, typically measured in degrees or radians. It provides information about the size or scale of an object as viewed from a specific vantage point, taking into account the angular distance between its boundaries. In astronomy, angular width is often used to describe the apparent size of celestial objects, such as stars or galaxies, as observed from Earth.

Show that the work done by coriolis force is zero.?

The Coriolis force is a fictitious force that arises in rotating reference frames. Since fictitious forces do no work (they do not transfer energy), the work done by the Coriolis force is zero. This is because the Coriolis force acts perpendicular to the direction of motion of an object and does not change the total mechanical energy of the system.

Is there any difference between angular acceleration and radial acceleration?

Angular acceleration is the rate of change of angular velocity of an object, while radial acceleration is the component of acceleration directed towards or away from the center of rotation. They are related but describe different aspects of an object's motion in a rotational system.

Relation between angular velocity and linear velocity?

Angular velocity is the rate of change of an object's angular position with respect to time, while linear velocity is the rate of change of an object's linear position with respect to time. The relationship between angular velocity and linear velocity depends on the distance of the object from the axis of rotation. For an object rotating around a fixed axis, the linear velocity is equal to the angular velocity multiplied by the radius of the rotation.

What is the best way to define torque?

Torque is a measure of the rotational force applied to an object about an axis. It is calculated as the product of the force applied and the distance from the axis of rotation. In simpler terms, it represents the ability of a force to rotate an object around a fixed axis.

Centrifugal force calculations?

Centrifugal force is the force that pushes an object away from the center of its circular path. It is calculated using the formula Fc = mv^2/r, where m is the mass of the object, v is the velocity, and r is the radius of the circular path. This force is always directed away from the center of the circle.

Why centripetal force is not balanced by centrifugal force?

Centripetal force is provided by an inward force necessary to keep an object moving in a circular path. Centrifugal force is a fictitious outward force that appears in a rotating frame of reference. These forces are actually equal in magnitude and opposite in direction, but they act on different objects or in different reference frames, so they do not balance each other.

A motorcycle generates 500W of power The torque is 50.0 N m What is the angular velocity?

General formula used to calculate torque from power is torque=power*9.55/rpm so,using your data,50=500*9.55/N(rpm) i.e.,N(rpm)=95.5rpm. Angular Velocity=3.147*d*N/60 Unless the diameter is unknown its not possible to calculate the angular velocity.Once diameter is known it can substituted in the above mentioned formula.

Why the water spins the same way on your sink?

It doesn't. Just observe. More than one sink. If you fill the sink the same way each time, there may be a small amount of residual motion in the water, causing it to always empty the same way. If you move the faucet to the opposite side of the drain when filling the sink, you may notice that it spins the other way when emptying.

What is the relationship between torque and velocity?

Torque is the rotational force applied to an object, while velocity is the speed at which the object is moving. In rotational motion, torque affects the angular acceleration of an object, which in turn can impact its angular velocity. The relationship between torque and velocity is described by the equation: Torque = Moment of inertia x Angular acceleration.

Is angular speed the same as angular acceleration?

No, angular speed refers to how fast an object is rotating around an axis at a given moment, usually measured in radians per second. Angular acceleration, on the other hand, describes how quickly the angular speed of an object is changing, or how fast the rotation is accelerating or decelerating.

How do you triple centripetal force?

TheCentripetal force is a force that makes things go in a circular motion, in example the Earth applying a gravitational force on the moon. So basically if you want to triple its magnitude, you need to triple the magnitude of that force depending on which force is it ( In the Earth-moon example the gravitational force). A force which makes a body go in a circular motion Centripetal force) always equals mv2/R when m is the mass of the body, v is its tangent velocity and R is the radius of the motion. So in the general case you should change one of these variables so the force will triple itself.

What is caused by earths rotation?

Earth's rotation causes the day and night cycle as the planet spins on its axis. It also affects the Coriolis effect, which influences global wind patterns and ocean currents. Additionally, the rotation of the Earth creates the centrifugal force that slightly flattens the planet at the poles and bulges at the equator.

Moment of inertia of hollow cylinder?

The moment of inertia of a hollow cylinder is given by the formula I = 1/2 * m * (r_outer^2 + r_inner^2), where m is the mass of the cylinder, r_outer is the outer radius, and r_inner is the inner radius of the cylinder. This formula represents the distribution of mass around the axis of rotation.