Rotation

The angular momentum of the mass m with respect to the origin, in this case, would be zero. This is because the mass is moving parallel to the x-axis, so its position vector relative to the origin does not change with time. As angular momentum is defined as the cross product of the position vector and the linear momentum, and in this case, the position vector does not change, the angular momentum is zero.

The angular velocity of the ferris wheel is 2π radians every 8 seconds, which is equivalent to 0.7854 radians per second. The centripetal acceleration is calculated using the formula a = rω^2, where r is the radius and ω is the angular velocity. Substituting the values, we get a = 12 m * (0.7854 rad/s)^2 ≈ 7.46 m/s^2.

A force is a push or pull that causes a change in an object's linear motion, such as moving it in a straight line. A torque is a twisting force that causes an object to rotate around an axis. While a force can change an object's position, a torque specifically affects its orientation or rotational motion.

Centrifugal force and centripetal force are both related to inertia. Centrifugal force is the outward "apparent" force experienced in a rotating frame of reference, caused by inertia trying to keep an object moving in a straight line. Centripetal force is the inward force that keeps an object moving in a circular path, acting in opposition to the centrifugal force and also related to inertia as it is required to overcome an object's tendency to move in a straight line.

Axis rotation refers to the process of rotating an object around a specific axis or line. This type of rotation can occur in various dimensions, such as 2D or 3D, and is commonly used in mathematics and computer graphics to manipulate objects. Axis rotation allows for precise control over the orientation of an object in space.

To increase the torque of a given force, you can increase the distance from the pivot point (lever arm). This is because torque is the product of force and lever arm length. Increasing either the force or the lever arm length will increase the torque.

A large force can produce a small or zero torque if the force is applied at a point where the lever arm (distance from the point of rotation to the line of action of the force) is very small or zero. Torque is calculated as force multiplied by lever arm, so a small lever arm can result in a small or zero torque even with a large force.

The acceleration that occurs in circular motion is called centripetal acceleration. It is directed towards the center of the circle and is responsible for keeping an object moving in a circular path. Centripetal acceleration is required because the direction of an object's velocity is constantly changing in circular motion.

No, the Earth spins at a constant rate, typically around 1,000 miles per hour at the equator, while airplanes travel at variable speeds depending on the aircraft and conditions. Generally, airplanes fly much slower than the speed at which the Earth rotates.

No, angular displacement refers to the change in angle of an object relative to a reference point, while angular velocity is the rate at which an object changes its angle over time. Angular displacement is a scalar quantity, measured in radians, while angular velocity is a vector quantity with direction and magnitude, measured in radians per second.

Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.

Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.

Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.

Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.

In a perpendicular direction to the rotating body.

The object is the fan and the reaction force is the air being pushed forward by the fan blades as they spin.

In a two-car collision, the total angular momentum is conserved only if no external torque is acting on the system. If there is no net external torque exerted on the cars during the collision, the total angular momentum before the collision will be equal to the total angular momentum after the collision.

Angular velocity means how fast something rotates. The exact definition of angular momentum is a bit more complicated, but it is the rotational equivalent of linear momentum. It is the product of moment of inertia and angular speed.

Usually you would use some fact you know about the physical system, and then write an equation that states that the total angular momentum "before" = the total angular momentum "after" some event.

In any circular movement, including driving in a curve, the centripetal force (and the corresponding centrifugal force, which is often considered a "fictitious force") will increase:

* When the speed increases

* When the radius of curvature decreases

Angular momentum = r x p... That is position vector r, CROSSED (not multiplied) with momentum vector p. So, to find out the direction the angular momentum will act, take ur right hand, point your fingers in the direction of r, and "curl" (close/bend whatever u wanna call it) ur FINGERS (not thumb) towards p. New, whichever way ur thumb points, that is the direction of the angular momentum

Hope that helped

no because to get a torque you must multiply lever arm by force. If lever is zero, then torque is zero

The dimension of angular velocity is reciprocal time . . . 1/time or T-1 .

It'll be stated as "some angle" per "unit of time", like "45 revolutions per minute",

and angles are dimensionless.

Angular momentum is a property of rotating objects and is found in systems where there is rotational motion, such as spinning tops, planets orbiting stars, and moving particles with rotational motion. It is a quantity that describes the rotational inertia and velocity of an object around a specific axis.

Torque is the rotational equivalent of force and is responsible for causing rotational motion. Angular acceleration is the rate at which an object's angular velocity changes. The relationship between torque and angular acceleration is defined by Newton's second law for rotation: torque is equal to the moment of inertia of an object multiplied by its angular acceleration.

Yes, rotating generally refers to an object or body moving around a fixed axis or center point in a circular motion. This movement can be described as spinning.