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.
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.
Linear kinematics refers to the motion of an object along a straight line, where variables like position, velocity, and acceleration are in one dimension. Angular kinematics, on the other hand, deals with the motion of an object in a circular path, where variables like angular displacement, angular velocity, and angular acceleration are used to describe the motion in a rotational system.
In rotational motion, linear acceleration and angular acceleration are related. Linear acceleration is the rate of change of linear velocity, while angular acceleration is the rate of change of angular velocity. The relationship between the two is that linear acceleration and angular acceleration are directly proportional to each other, meaning that an increase in angular acceleration will result in a corresponding increase in linear acceleration.
because god said it shouild Think of a stone on a string whirling around, two complete turns per second. Suppose the angle that any part of the string, or stone, rotates through is 2x360 degrees per second (=angular spesd). But the stone might be going at 10 feet per second (=linear speed), at the same time that the bit of string 2 inches from your hand is going less than 1 foot per second (linear speed), while the angular speed is still 720 degrees per second. Angular speeds and linear speeds do not even have the same Dimensions: 1/T vs L/T. The question ought to be "why should anyone think these things to be the same?"
To calculate angular velocity from linear velocity, you can use the formula: Angular velocity Linear velocity / Radius. This formula relates the speed of an object moving in a circular path (angular velocity) to its linear speed and the radius of the circle it is moving in.
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.
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.
No such conversion is possible. Feet are a measure of distance or linear displacement whereas a radian is a measure of angular displacement. The two measure different things and it is not possible to convert form one to the other.
There can be no equivalence. A kilometre is a measure of linear displacement while a degree [rotation] is a measure of angular displacement. The two measure different things and, according to basic principles of dimensional analysis, any attempt at conversion from one to the other is fundamentally flawed. For any angular rotation, the linear displacement is directly proportional to the distance from the centre of rotation.