theta or θ
There are several, what is it that you want to calculate? The "natural" units for angular velocity are radians/second. The relationship between linear velocity and angular velocity is especially simple in this case: linear velocity (at the edge) = angular velocity x radius.
The angular velocity of the second hand of a clock is pi/30 radians per second.
i want an example of geometric linear equations
Linear equations come in the form y=mx+b or y=mx-b, where x and y are the variables x and y and b is a constant (like 3). All other equations are non-linear. Linear equations has a power of 1! as long as the X has a power of 1, it is a linear equation.
To convert angular displacement to linear displacement, you need to know the radius of the circle or rotation and the angle of rotation in radians. By multiplying the radius by the angle in radians, you can calculate the linear displacement.
No. Centimetres are a measure of linear displacement whereas radians measure angular displacement. Because they measure different things, it is not possible to convert from one to the other.
An inch is a measure of linear displacement (distance) while a degree is a measure of angular displacement (rotation). There is no constant relationship between the two. The same angular displacement will result in a bigger linear displacement the further you are from the centre of rotation.
divide the linear speed by the radius
An inch is a measure of linear displacement, not angular displacement. The two measures are incompatible.
It is not possible. Radians are a measure of angular displacement while rpm is a measure of the rate of change of angular displacement. The question is like asking to convert speed into distance.
vector representing a change in position of a body or point with respect to a reference point, Displacement may be linear or angular.
To convert linear speed to angular speed, divide the linear speed by the radius of the rotating object. The formula for this relationship is: angular speed (ω) = linear speed (v) / radius (r). This will give you the angular speed in radians per second.
vector representing a change in position of a body or point with respect to a reference point, Displacement may be linear or angular.
The question cannot be answered simply. A degree is a measure of angular displacement whereas an inch is a measure of linear displacement. If the angular displacement (in degrees) were measured at a distance r inches from some fixed point (the centre of rotation), then the linear displacement would be pi*r/180 inches.
They try to make galvanometers so that a linear increase in current results in equal angular displacement of the needle.
To convert angular velocity to linear velocity, you can use the formula: linear velocity = angular velocity * radius. This formula accounts for the fact that linear velocity is the distance traveled per unit time (similar to speed), while angular velocity is the rate of change of angular position. By multiplying angular velocity by the radius of the rotating object, you can calculate the linear velocity at the point of interest on that object.