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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 are the units for angular displacement?
Angular displacement is measured in radians (rad) or degrees (°).
When the radius of the circular motion is increased, the period of rotation also increases. This is because the period of rotation is directly proportional to the radius of the circle in uniform circular motion.
Dimension of angular momentum?
case 1 is mass (m) on weightless length (r) of string at constant velocity (v), so angular momentum L = r * (m * v), SI units are n.m.s. or kg.m^2.s^-1
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case 2 is mass(m) rotating around an axis inside its own mass ie solid sphere rotating about its fixed symmetry axis, angular momentum L = I * w, where I is the mass moment of inertia of the sphere about its fixed symettry axis, and w is the rotation in radians per second, units are kg.m^2 for I, and rad / sec for w
Does centrifugal force operate on a vehicle every time the driver changes direction?
Yes, centrifugal force operates on a vehicle every time the driver changes direction. It is a pseudo-force that pushes objects away from the center of rotation when they are moving in a curved path. This force is what makes the vehicle feel like it is being pushed outward when turning.
As you spin an object around what is the force acting out?
There is no force directed away from the center.
If there were no force at all on the object, it would continue to travel in a straight line.
The force directed inward, toward the center, is what bends its path around the center.
How do you decide the 'Direction of Rotation' of a magnetic field?
There is a convenient rule called the "right hand grip rule":
If you grip your right hand around the electric conductor with your thumb pointing in the direction the current is flowing, the magnetic field rotates in the direction your remaining fingers are pointing.
See related Wikipedia link for an illustration.
In a coordinated turn, centrifugal force acts as the horizontal force that helps to balance the horizontal lift component generated by the aircraft. The centrifugal force pulls the aircraft outward in a turn, while the horizontal lift component works to turn the aircraft. Together, they work to maintain the aircraft's trajectory in a coordinated turn.
follow a straight -line path
Is the torque changed when a partner on a seesaw stands or hangs from her end instead of sitting?
Yes, the torque changes when a partner on a seesaw stands or hangs from her end instead of sitting. The torque is influenced by both the amount of force applied and the distance from the pivot point. When standing or hanging, the distance changes, affecting the torque.
ball in hand = 4 * 9.807 = 39.228 n
lever length = cos 30deg. * 0.7 = 0.6062 metres
torque = 39.228 * 0.6062 = 23.78 newton - metre
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torque generated by arm = 23.78 / 2 = 11.89 newton - metre
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total torque = 23.78 + 11.89 = 35.67 newton - metre
An example of centrifugal force?
One example of centrifugal force is when a car turns a corner at high speed and the passengers feel pushed away from the center of the car. This is due to the centrifugal force pushing them outward as the car accelerates around the curve.
What are the Application of centripetal force?
The application are any time you want something to move in a path that's not
straight, you need centripetal force to make it curve away from moving straight.
Like if you want to drive your car around a curve or turn a corner.
What is the symbol for a Coriolis meter?
The symbol for a Coriolis meter is a curved "S" shape with two straight lines perpendicular to the curve on either side.
How can you find the mass of an object when you know the net torque acting on it?
With that amount of information, you can't. You'd also need to know what effect
that torque had on the object ... things like how its rate of rotation changed,
its shape (so that you could determine its moment of intertia), etc.
In other words, in addition to the net torque on the object, you also need to
know all the details that allow you to calculate numbers for whatever relates the
torque to the mass.
What does Centrifugal force mean?
Centrifugal force is the apparent outward force experienced by an object moving in a curved path. It is not a true force, but rather a result of the inertia of the object trying to continue moving in a straight line.
Solution and answer of angular velocity?
It is the rate of change - with respect to time - of the angular displacement.
True ,velocity is a vector quantity ,it is specified by a magnitude and direction.
Can you explain why the earth spins counter clockwise but the sun rises in the east?
I think you're picturing yourself on the earth looking out into space, north south east and west are directions from the perspective of looking at land.
If you are facing north and lying on your back the sun will rise on your left side. If you're facing north and lying on your stomach it will rise from your right side.
If that makes sense.
Are speed and acceleration the same?
No. Speed is the magnitude of velocity and acceleration is the change of velocity in time.
How to find magnitude of acceleration?
Rule:
Magnitude of acceleration = Change of velocity / Time interval
In linear motion, magnitude of acceleration is the measurement of change in speed in speed per unit time. For example: A car reaches a speed of 20 miles per second in 4 seconds, the magnitude of acceleration is 5 miles per second.
a = 20 miles/second divided by 4 seconds = 5 miles per second.
Acceleration is a vector, which means it has magnitude and direction. To describe accelerated motion completely, the direction also needs to be included. So it would be 5 miles per second in whatever direction it is going.
How does centripetal force apply to the workings of a centrifuge?
Centripetal force is crucial in the operation of a centrifuge, as it acts on the samples being spun at high speeds. This force pulls the contents toward the center of the circular path, allowing denser materials to separate from less dense ones. As the centrifuge spins, the rapid rotation generates a significant centripetal force, effectively stratifying the components based on their density. This separation process is essential in various applications, including medical diagnostics and biochemical research.
The centrifugal force is a high centrifical force generated by the high speeds in a centrifuge. A simple example is the force that pushes clothes to the side of the drum in a newer clothes washer's spin cycle. These H.e. models spin faster than the older ones.
