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Torque has the dimension of force times distance, symbolically T −2 L 2 M and those fundamental dimensions are the same as that for energy or work. Official SI literature indicates newton-metre , is properly denoted N⋅m, as the unit for torque; although this is dimensionally equivalent to the joule , which is not used for torque.
The amount of torque needed to cause any given angular acceleration (the rate of change in angular velocity) is proportional to the moment of inertia of the body. Moments of inertia may be expressed in units of kilogram metre squared (kg·m 2) in SI units and pound-foot-second squared (lbf·ft·s 2) in imperial or US units.
In physics, angular velocity (symbol ω or , the lowercase Greek letter omega), also known as the angular frequency vector, [1] is a pseudovector representation of how the angular position or orientation of an object changes with time, i.e. how quickly an object rotates (spins or revolves) around an axis of rotation and how fast the axis itself changes direction.
A net torque acting upon an object will produce an angular acceleration of the object according to =, just as F = ma in linear dynamics. The work done by a torque acting on an object equals the magnitude of the torque times the angle through which the torque is applied: W = τ θ . {\displaystyle W=\tau \theta .}
Torque is a product of the length of a lever and the force applied to the lever. One kilopond is the force applied to one kilogram due to gravitational acceleration; this force is exactly 9.80665 N. This means 1 kp·m = 9.80665 kg·m/s 2 = 9.80665 N·m. A related unit is the kgf·cm, which is sometimes
The SI units for the torque constant are newton meters per ampere (N·m/A). Since 1 N·m = 1 J, and 1 A = 1 C/s, then 1 N·m/A = 1 J·s/C = 1 V·s (same units as back EMF constant). The relationship between K T {\displaystyle K_{\text{T}}} and K v {\displaystyle K_{\text{v}}} is not intuitive, to the point that many people simply assert that ...
The jump in acceleration equals the force on the mass divided by the mass. That is, each time the mass passes through a minimum or maximum displacement, the mass experiences a discontinuous acceleration, and the jerk contains a Dirac delta until the mass stops.
The dimension of power is energy divided by time. In the International System of Units (SI), the unit of power is the watt (W), which is equal to one joule per second. Other common and traditional measures are horsepower (hp), comparing to the power of a horse; one mechanical horsepower equals about 745.7 watts.