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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 difference between mass moment of inertia and area moment of inertia?

Mass moment of inertia measures an object's resistance to rotational motion due to its mass distribution, while area moment of inertia measures an object's resistance to bending due to its shape and cross-sectional area. Mass moment of inertia depends on both the mass and its distribution, while area moment of inertia depends on the shape and how the material is distributed in the cross-section.

What is the symbol for angular displacement?

The symbol for angular displacement is typically represented by the Greek letter theta (θ). In some contexts, particularly in physics and engineering, it may also be denoted by the symbol Δθ, where the "Δ" indicates a change in angular position. Angular displacement measures the angle through which an object has rotated around a specific axis.

What is meant by amplitude in simple harmonic motion?

Any simple harmonic motion is of the form x(t) = A cos(w t + a). Here the constant A with dimension [x] is called the amplitude.

Is the net torque changed when a partner on a seesaw stands or hangs from her end instead of sitting?

Yes, the net torque changes because the distance from the pivot point to the partner's center of mass is altered when she stands or hangs instead of sitting. Standing or hanging position increases the moment arm, affecting the torque exerted on the seesaw.

What is the angular velocity of the hour hand of a clock?

Angular velocity = angle covered / time taken

Hence angular velocity of the hour hand = 2pi/ 12*3600 = 1.4 x 10-4 rad/s

What is a device for measuring speed of rotation?

A tachometer is a device used to measure the speed of rotation of an object. It typically works by counting the number of rotations per minute (RPM) of the object being measured, providing a numerical output that indicates its speed of rotation.

Videos related to centrifugal force?

Centrifugal force is a fictitious force that appears when an object is moving in a curved path. It acts outward from the center of rotation and is a result of inertia. It is commonly experienced in situations like swinging a rope with a ball on the end, driving around a curve, or riding a rollercoaster.

What is angular lines?

Angular lines refer to straight or sharp lines that create a sense of energy, movement, and dynamism in a design. They are often used to convey a feeling of strength, stability, and modernity. These lines can be found in various artistic and design contexts, such as architecture, graphic design, and fashion.

Is rotation scalar or vector?

Rotation is a vector having a direction and magnitude.

What direction does the angular velocity vector of the Earth's rotation point toward?

The Earth's angular velocity vector due to its axial rotation points towards the north pole.

Does Airplanes Have to keep up with earths rotation when traveling over seas?

No. An airplane with weak, medium, or strong engines flies slow, medium, or

fast through the air, and the air is keeping up with the Earth's rotation.

Why do you spin a football?

If your talking about NFL then We spin footballs to minimize the effect of air resistance on the ball. That makes it go further and follow a more straight path. Its got something to do with angular momentum

What is the physics behind the spin cycle in a washing machine?

The clothes have a centripetal force (the walls of the machine provide this) which pushes them towards the center of the tub, not out of it. But the water lacks a centripetal force (it fits through the holes in the walls of the wash tub) to keep it from leaving the path of circular motion, so therefore it follows its path of velocity out!

Centripetal forces are forces of?

Centripetal force is that which bind you toward the center when you are tilted at turning.

Can an object of a simontaniously have an instataneous velocity of 9.8 ms in one direction and an acceleration of 9.8 ms squared in the same or opposite direction?

Simply, yes. I'm assuming we're talking hypothetically, otherwise it would be very dificult to measure.

Depending on the starting velocity and the amount of time the object has been moving, there is no reason why at some point the velocity and acceleration cannot have equal magnitudes.

Example 1:

An object is moving at a fixed velocity of 9.8ms. At time t, a force is applied to it to create an acceleration of 9.8m/s^2) (in any direction). Now at the instant t, before it has had a chance to change velocity, both requirements are met.

Example 2, more simply:

The velocity 9.8ms much have been given because it is approximately equal to the acceleration due to gravity near the earth. If an object is dropped near to the earth's surface, assuming no air resistance, it will start at 0ms (not moving) and accelerate at 9.8m/s^2, ie for every second it is accelerating, it will speed up by 9.8m/s. Therefore, after 1 second, it will be travelling at exactly 9.8m/s.

For going in the opposite direction, think about what happens when you throw a ball upwards, where the aceleration due to gravity is downwards.

Be careful with your units. ms usually signifies metres x seconds, whereas velocity is metres per second, or metres divided by seconds, m/s or ms^-1