Rotation

The first thing you'll need is a lot of patience, as you wait for somebody to invent it.

I have to tell you, though, that there are currently no serious efforts in that direction,

by anyone reasonably comfortable with the laws of Nature and in possession of all of

his wits and faculties.

The direction of angular velocity is perpendicular to the plane in which the rotation is occurring. It follows the right-hand rule, with the thumb pointing in the direction of the axis of rotation and the fingers curling in the direction of the angular velocity.

Yes, a bar magnet can exert a torque on itself due to its own magnetic field. This torque can cause the magnet to align itself in a specific orientation, depending on the interaction between its north and south poles. If the magnet is not free to rotate, this torque can manifest itself as a force causing the magnet to move.

Both. A small driving gear and a large driven gear is a force multiplier. Whilst a large driving gear and a small driven gear is a speed multiplier

The dimension of angular momentum is kg m^2/s.

Gyromagnetic resonance in ferrites is a phenomenon where the magnetic moments of the atoms in the material precess around an applied magnetic field at a specific frequency. This resonance occurs due to the interaction between the material's electron spins and the external field and is commonly used in applications such as microwave devices and magnetic storage media.

The angular momentum of a system is not conserved when external torques are applied to the system. These torques can change the angular momentum by causing the system to rotate faster or slower or by changing the direction of its rotation.

Yes, the statement is true. Centripetal force is a force that acts towards the center of a circular path and is responsible for changing an object's direction, rather than its speed. It keeps an object moving in a circular path by constantly pulling it towards the center of the circle.

The angular joint in a human body is located at the elbow, where the forearm can bend and straighten.

Torque is the measure of the rotational force applied to an object, causing it to rotate around a pivot point. Moment of inertia, on the other hand, is a measure of an object's resistance to changes in its rotational motion. Torque depends on force and the distance from the pivot point, while moment of inertia depends on an object's mass distribution and shape.

Breakaway torque is the amount of torque required to overcome the static friction of a stationary object and set it in motion. It is a measure of the minimum force or torque needed to break something free from its initial position.

Rotation is a type of motion that occurs when an object spins around an axis, causing it to change its orientation. This movement can be seen in phenomena such as the Earth rotating on its axis or a wheel spinning on a car. Rotation involves circular movement rather than linear displacement.

If you double the radius while keeping the tangential velocity constant, the centripetal force will also double. This is because the centripetal force is directly proportional to the square of the velocity and inversely proportional to the radius. Therefore, doubling the radius increases the centripetal force required to keep the body rotating at the same speed.

The angular speed of the hour hand is 30 degrees per hour because the hour hand completes a full rotation of 360 degrees in 12 hours. Therefore, 360 degrees divided by 12 hours is equal to 30 degrees per hour.

As the speed increases, the force of contact between the surface and the object increases because the object has more momentum and exerts a greater impact force on the surface. This is due to a combination of factors such as momentum transfer, friction, and surface deformation, leading to an increase in the contact force.

Angular velocity is a measure of how fast an object is rotating around a specific axis, usually measured in radians per second. Angular momentum, on the other hand, is a measure of how difficult it is to stop an object's rotation, calculated as the product of angular velocity and moment of inertia. In simple terms, angular velocity is the speed of rotation, while angular momentum is the rotational equivalent of linear momentum.

The angular winds speed in a tornado varies as tornadoes come in both different sizes and their tangential wind speed varies.

First for tangential speed: minimum tornadic wind speed are estimated at 65 mph (105 km/h or 29 m/s) and the upper bound is believed to somewhere near 300 mph (483 km/h or 134 m/s). The average tornado likely has winds of about 80 mph (126 km/h or 36 m/s), but with the most damage coming from tornadoes with winds over 135 mph (217 km/h or 60 m/s). These are estimates primarily derived from tornado damage.

For size: the average tornado has a diameter of 50 yards (46 meters) wide, but sizes range from less than 10 yards (9 meters) to over a mile (1.6 kilometers). The largest tornado on record was 2.5 miles (4 kilometers) wide. Overall, stronger tornadoes tend to be larger, though this is not always the case. Furthermore, the strongest winds in many tornadoes, especially large, strong ones are not part of the main circulation but as part of smaller suction vorticies within the tornado, where winds may be up to 100 mph (45 m/s) faster.

Aside from these suction vorticies, the fastest winds are often found around the edges of an eyelike center of calmer air that is often 1/4 to 1/2 the width of the funnel.

However, even with this knowledge the workings inside a tornado are poorly understood.

A ratchet is used to allow for rotational motion in one direction only, preventing backtracking or reverse movement. This makes it useful in applications where controlled and incremental motion is needed, such as in tools and machinery.

The lower case omega (ω) represents angular velocity in the angular momentum equation. It is a measure of how quickly an object is rotating around an axis and is typically measured in radians per second.

The water doesn't fall out of a vertically rotating bucket due to inertia and centripetal force. The inertia of the water causes it to continue moving in a straight line while the bucket moves around it, and the centripetal force generated by the bucket's motion keeps the water contained within the bucket.

The torque produced by centripetal force is zero because the force is acting perpendicular to the radius of rotation. Torque is calculated as the force multiplied by the distance from the axis of rotation, and when the force and distance are perpendicular to each other, the torque becomes zero.

Wf - Wi = a*t, where Wi and Wf are the initial and final angular velocities, respectively, a is the angular acceleration, and t is time.

So, a*t = 15.4 rad/s - 8.5 rad/s = 6.9 rad/s,

thus a = 6.9 rad/s / 5.2 s = 1.3 rad/s2.

The shape of an object does not affect its velocity because velocity is determined solely by the object's speed and direction of motion. The shape of an object may affect other factors such as air resistance or aerodynamics, which can influence how quickly the object slows down or changes direction, but it does not directly affect its velocity.