Turn (unit) in the context of "Right triangle"

⭐ In the context of a right triangle, a right angle is specifically defined as measuring how much of a complete turn?

Ad spacer

⭐ Core Definition: Turn (unit)

The turn (symbol tr or pla) is a unit of plane angle measurement that is the measure of a complete angle—the angle subtended by a complete circle at its center. One turn is equal to 2π radians, 360 degrees or 400 gradians. As an angular unit, one turn also corresponds to one cycle (symbol cyc or c) or to one revolution (symbol rev or r). Common related units of frequency are cycles per second (cps) and revolutions per minute (rpm). The angular unit of the turn is useful in connection with, among other things, electromagnetic coils (e.g., transformers), rotating objects, and the winding number of curves. Divisions of a turn include the half-turn and quarter-turn, spanning a straight angle and a right angle, respectively; metric prefixes can also be used as in, e.g., centiturns (ctr), milliturns (mtr), etc.

In the ISQ, an arbitrary "number of turns" (also known as "number of revolutions" or "number of cycles") is formalized as a dimensionless quantity called rotation, defined as the ratio of a given angle and a full turn. It is represented by the symbol N. (See below for the formula.)

↓ Menu

>>>PUT SHARE BUTTONS HERE<<<

👉 Turn (unit) in the context of Right triangle

A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular, forming a right angle (1⁄4 turn or 90 degrees).

The side opposite to the right angle is called the hypotenuse (side in the figure). The sides adjacent to the right angle are called legs (or catheti, singular: cathetus). Side may be identified as the side adjacent to angle and opposite (or opposed to) angle while side is the side adjacent to angle and opposite angle

↓ Explore More Topics
In this Dossier

Turn (unit) in the context of Rotational speed

Rotational frequency, also known as rotational speed or rate of rotation (symbols ν, lowercase Greek nu, and also n), is the frequency of rotation of an object around an axis.Its SI unit is the reciprocal seconds (s); other common units of measurement include the hertz (Hz), cycles per second (cps), and revolutions per minute (rpm).

Rotational frequency can be obtained dividing angular frequency, ω, by a full turn (2π radians): ν=ω/(2π rad).It can also be formulated as the instantaneous rate of change of the number of rotations, N, with respect to time, t: n=dN/dt (as per International System of Quantities).Similar to ordinary period, the reciprocal of rotational frequency is the rotation period or period of rotation, T=ν=n, with dimension of time (SI unit seconds).

↑ Return to Menu

Turn (unit) in the context of Angular speed

In physics, angular frequency (symbol ω), also called angular speed and angular rate, is a scalar measure of the angle rate (the angle per unit time) or the temporal rate of change of the phase argument of a sinusoidal waveform or sine function (for example, in oscillations and waves).Angular frequency (or angular speed) is the magnitude of the pseudovector quantity angular velocity.

Angular frequency can be obtained by multiplying rotational frequency, ν (or ordinary frequency, f) by a full turn (2π radians): ω = 2π rad⋅ν.It can also be formulated as ω = dθ/dt, the instantaneous rate of change of the angular displacement, θ, with respect to time, t.

↑ Return to Menu
LINKED FROM (PARENTS)
← Right triangle ← Rotational speed ← Angular speed ← Rotation rate ← Right-angled triangle
LINKS TO (CHILDREN)
Plane angle → Complete angle → Subtended angle → Circle → Pi → Radian → Degree (angle) → Gradian → Angular unit → Frequency → Cycles per second → Revolutions per minute → Electromagnetic coil → Transformer → Winding number → Angle → Right angle → Metric prefixes → International System of Quantities → Dimensionless quantity → Ratio →