which of the following is not a dimensionless variable. (a) Reflective index ( b) relative density (c) Angular displacement (d) Angular velocity
Answers
Answer:
Angular velocity
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Answer:
Concept:
A unitless value obtained by (perhaps frequently) multiplying and dividing mixtures of physical variables, parameters, and constants is known as a dimensionless variable (DV). Dimensionless variables are used in design engineering for dimensional modelling, charting multivariable relations, and re-creating explicit linkages between physical variables. The independence of a dimensionless variable's value from the dimensional system in which it is expressed is a key characteristic. In other words, a function defined in metric units will have dimensionless variables that are the same as the function expressed in English units.
Given:
which of the above is not a variable without dimensions.
(a) Reflective index
(b) relative density
(c) Angular displacement
(d) Angular velocity
Find:
find the correct option for the given question
Answer:
The correct answer is option (d) Angular velocity
General terms, angular velocity has an angle per unit time dimension (angle replacing distance from linear velocity with time in common). Since the radian is a dimensionless quantity and the SI unit of angular velocity is radians per second, the SI units of angular velocity can be written as
Angular velocity, sometimes referred to as angular frequency vector, is a pseudovector used in physics to express how quickly an object's angular position or orientation varies over time (i.e. the rate at which something revolves or rotates in relation to a point or axis). The pseudovector's direction is normal to the instantaneous plane of rotation or angular displacement, and its magnitude corresponds to the object's angular speed, or the rate at which it rotates or revolves. The right-hand rule is typically used to specify the direction of angular motion.
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