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What is the constant of proportionality between torque and angular acceleration?
Wiki User
∙ 11y ago
The rotating object's moment of inertia.
Similar to Newton's Second Law, commonly quoted as "force = mass x acceleration", there is an equivalent law for rotational movement: "torque = moment of inertia x angular acceleration". The moment of inertia depends on the rotating object's mass and its exact shape - you can even have a different moment of inertia for the same shape, if the axis of rotation is changed. If you use SI units, and radians for angles (and therefore radians/second2 for angular acceleration), no further constants of proportionality are required.
Wiki User
∙ 11y ago
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What is a constant across the entire elevtromagnetic spectrum?
The Planck constant is a physical constant: the quantum of action in quantum mechanics, with an angular momentum. The Planck constant is the proportionality constant between the energy of a unit of electromagnetic radiation. You may also be looking for the answer of "the speed of light."
Is there any difference between angular acceleration and radial acceleration?
Yes. A ngular acceleration is to do with something turning. Radial acceleration is linear acceleration perpendicular to the angular acceleration.
What is the difference between constant speed and constant acceleration?
Constant speed means that speed doesn't change. Constant acceleration means that acceleration doesn't change. (If the acceleration is anything but zero, speed WILL change.)
What is the difference between constant and non-constant motion?
Acceleration is the difference between constant and non-constant motion.
Derive equation between angular and linear acceleration?
Since angular acceleration is in radians per second squared, which is change in angular speed over time, we know that α=ω/t, where α is angular acceleration, ω is angular speed, and t is time (assuming α is constant.)ω is measured in radians per second. If me multiply ω by r, which is the radius of the circle the object is acceleration around, we get ωr, which has units of (radians*radius)/second. Since the angle in radians times the radius gives the distance, these units are equivalent to meters/second, so ωr = v.Therefore, α=(v/r)/t=v/rt.Acceleration (a) is v/t, so α=(v/t)(1/r)=a/r.The equation would then be:α=a/r, or a=rα (Where α is angular acceleration, a is acceleration, and r is the radius.)
What is a constant across the entire elevtromagnetic spectrum?
The Planck constant is a physical constant: the quantum of action in quantum mechanics, with an angular momentum. The Planck constant is the proportionality constant between the energy of a unit of electromagnetic radiation. You may also be looking for the answer of "the speed of light."
Is there any difference between angular acceleration and radial acceleration?
Yes. A ngular acceleration is to do with something turning. Radial acceleration is linear acceleration perpendicular to the angular acceleration.
What unchanging value of the ratio between two proportional quantities is?
It is called the constant of proportionality.
What is constant of preportionality?
The constant of proportionality between two variables is the ratio of one to the other.
If y equals kx then what is the relationship between x y and k?
Various options: y is directly proportional to k, with x as the constant of proportionality; y is directly proportional to x, with k as the constant of proportionality; x is inversely proportional to k, with y as the constant of proportionality; x is directly proportional to y, with 1/k as the constant of proportionality; k is directly proportional to y, with 1/x as the constant of proportionality; and k is inversely proportional to x, with y as the constant of proportionality.
Is angular momentum always parallel to angular acceleration?
momentum is product of moment of inertia and angular velocity. There is always a 90 degree phase difference between velocity and acceleration vector in circular motion therefore angular momentum and acceleration can never be parallel
What is the difference between constant speed and constant acceleration?
Constant speed means that speed doesn't change. Constant acceleration means that acceleration doesn't change. (If the acceleration is anything but zero, speed WILL change.)
What is the relationship between acceleration and mass when mass is constant?
i think... acceleration is constant but im not sure
What is the difference between constant and non-constant motion?
Acceleration is the difference between constant and non-constant motion.
What does constant of proportion mean?
If two variables are in direct relationship then the ratio of the two variables is known as the constant of proportion between them. In algebraic form, if X and Y are the two variables, then direct proportionality implies that Y = cX and c is the constant of proportionality.
What is the relationship between two quantites that increase or decrease together called?
If they increase or decrease exactly, then the constant of proportionality or coefficient of proportionality. If not exactly, then a correlation coefficient.
Derive equation between angular and linear acceleration?
Since angular acceleration is in radians per second squared, which is change in angular speed over time, we know that α=ω/t, where α is angular acceleration, ω is angular speed, and t is time (assuming α is constant.)ω is measured in radians per second. If me multiply ω by r, which is the radius of the circle the object is acceleration around, we get ωr, which has units of (radians*radius)/second. Since the angle in radians times the radius gives the distance, these units are equivalent to meters/second, so ωr = v.Therefore, α=(v/r)/t=v/rt.Acceleration (a) is v/t, so α=(v/t)(1/r)=a/r.The equation would then be:α=a/r, or a=rα (Where α is angular acceleration, a is acceleration, and r is the radius.)
