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How is the radius of rotation related to the centripetal force and angular velocity?
Assuming that angles are measured in radians, and angular velocity in radians per second (this simplifies formulae): Radius of rotation is unrelated to angular velocity. Linear velocity = angular velocity x radius Centripetal acceleration = velocity squared / radius Centripetal acceleration = (angular velocity) squared x radius Centripetal force = mass x acceleration = mass x (angular velocity) squared x radius
What is the angular acceleration of the disk?
The angular acceleration of the disk is the rate at which its angular velocity changes over time. It is measured in radians per second squared.
What is the formula for calculating angular momentum in terms of kilogram meters squared per second?
The formula for calculating angular momentum in terms of kilogram meters squared per second is: Angular Momentum Mass x Velocity x Radius
How can one determine the angular acceleration of an object?
To determine the angular acceleration of an object, you can use the formula: angular acceleration change in angular velocity / time taken. This means you calculate how much the object's angular velocity changes over a certain period of time. The angular acceleration is measured in radians per second squared.
What are the units of angular acceleration and how are they calculated?
The units of angular acceleration are radians per second squared (rad/s2). Angular acceleration is calculated by dividing the change in angular velocity by the time taken for the change to occur.
How is the radius of rotation related to the centripetal force and angular velocity?
Assuming that angles are measured in radians, and angular velocity in radians per second (this simplifies formulae): Radius of rotation is unrelated to angular velocity. Linear velocity = angular velocity x radius Centripetal acceleration = velocity squared / radius Centripetal acceleration = (angular velocity) squared x radius Centripetal force = mass x acceleration = mass x (angular velocity) squared x radius
What is the angular acceleration of the disk?
The angular acceleration of the disk is the rate at which its angular velocity changes over time. It is measured in radians per second squared.
What is the formula for calculating angular momentum in terms of kilogram meters squared per second?
The formula for calculating angular momentum in terms of kilogram meters squared per second is: Angular Momentum Mass x Velocity x Radius
How can one determine the angular acceleration of an object?
To determine the angular acceleration of an object, you can use the formula: angular acceleration change in angular velocity / time taken. This means you calculate how much the object's angular velocity changes over a certain period of time. The angular acceleration is measured in radians per second squared.
What are the units of angular acceleration and how are they calculated?
The units of angular acceleration are radians per second squared (rad/s2). Angular acceleration is calculated by dividing the change in angular velocity by the time taken for the change to occur.
Why is there a relationship between velocity-squared and tension but not velocity and tension?
There is, the equation given is veloctiy = sqr root of (Tension/mew) where mew is a constant for the length of string and is given by mew = mass/length. by rearranging to find mew, we get either velocity2/Tension giving 1/mew or we can get Velocity/sqr root of Tension giving 1/sqr root of mew.
What is the relationship of potential energy to kinetic energy when an object is in motion?
velocity squared
Dimensions of angular momentum are?
The dimensions of angular momentum are usually represented as mass multiplied by velocity multiplied by distance, which is equivalent to kilogram meters squared per second (kg m^2/s). It is a measure of the rotational motion of an object.
What does the parallel axis theorem states?
Angular acceleration is the rate of change of angular velocity over time. In SI units, it is measured in radians per second squared (Rad/s2), and is usually denoted by the Greek letter alpha (α).[1]
How do you find displacement when you only have acceleration initial velocity and final velocity?
You can use the equation: Displacement = (final velocity squared - initial velocity squared) / (2 * acceleration). Plug in the values of final velocity, initial velocity, and acceleration to calculate the displacement.
How will you describe the graph of distance vs. time squared?
The graph of distance vs. time squared will usually be a curve rather than a straight line. This curve represents a non-uniform acceleration or changing velocity over time, as opposed to constant velocity where the graph would be a straight line. The shape of the curve will depend on the specific relationship between distance and time squared in the given scenario.
What are the units of angular acceleration?
The units of angular acceleration are radians per second squared (rad/s2).
