Angular velocity and acceleration vs. power and torque.
- Work is the result of a force acting over some distance. Work is quantified in joules (Nm) or foot-pounds.
- Torque is a rotating force produced by a motor’s crankshaft. The more torque the motor produces, the greater is its ability to perform work. Since torque is a vector acting in a direction it is commonly quantified by the units Nm or pound-feet.
- Power is how rapidly work is accomplished - work in a given amount of time. Power is quantified in watts (J/s) or horse power.
Power and Torque of Body in Angular Motion
The power of a rotating body can be expressed as
P = T ω
= T 2 π n rps
= T π n rpm / 30 (1)
where
P = power (W)
T = torque or moment (Nm)
ω = angular velocity (rad/s)
π = 3.14...
See AlsoRevolutions per second to RPM Conversion ToolRadians per Second to Revolutions per Minute Conversion1 RPM = 0.02 RPS; revolution per minute to revolutions per secondRPS to RPM | Revolution per Second to RPMn rps = rotations per second (rps, 1/s)
n rpm = rotations per minute (rpm, 1/min)
- 1 rad = 360 o / 2 π =~ 57.29578.. o
Note! - an object - like an electric motor - can have an active moment without rotation, but without rotation ( ω = 0 ) there is no power produced.
In imperial units
P = T n rpm / 5252 (1b)
where
P = power (hp)
T = torque (ft lbf )
Example - Torque created by Rotating Motor
An electric motor runs with 3600 rpm with an measured power consumption of 2000 W . The torque created by the motor (without losses) can be calculated by rearranging (1) to
T = 30 P / (π n rpm )
= 30 (2000 W) / (π (3600 rpm))
= 5.3 Nm
Torque Calculator
Download and print Motor - Torque vs. Power and rpm chart
Torque of a Body in Angular Motion
T = I α (2)
where
I = moment of inertia (kg m2,lbf ft s2)
α = angular acceleration ( rad /s2)
Related Topics
Dynamics
Motion of bodies and the action of forces in producing or changing their motion - velocity and acceleration, forces and torque.
Related Documents
Conn-Rod Mechanism
The connecting rod mechanism.Conservation of Momentum
The momentum of a body is the product of its mass and velocity - recoil calculator.Distance Traveled vs. Speed and Time - Calculator and Chart
Velocity plotted in time used diagram.Electric Motors - IEC and NEMA Standard Torques
IEC and NEMA torque classifications of electrical motors.Electric Motors - Torque vs. Power and Speed
Electric motor output power and torque vs. rotation speed.Flywheels - Kinetic Energy
The kinetic energy stored in flywheels - the moment of inertia.Formulas of Motion - Linear and Circular
Linear and angular (rotation) acceleration, velocity, speed and distance.Improvised Torque Wrench
Improvise a torque wrench with a luggage scale.Impulse and Impulse Force
Forces acting a very short time are called impulse forces.Kinetic Energy
Energy possessed by an object's motion is kinetic energy.Power
Power is the rate at which work is done or energy converted.Projectile Range
Calculate the range of a projectile - a motion in two dimensions.Radians vs. Degrees
Radian is the SI unit of angle. Convert between degrees and radians. Calculate angular velocity.Velocity Units Converter
Convert between speed and velocity units like m/s, km/h, knots, mph and ft/s.
Search
Search is the most efficient way to navigate the Engineering ToolBox.
- Popular internal searches in the Engineering ToolBox
Engineering ToolBox - SketchUp Extension - Online 3D modeling!
Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with older versions of the amazing SketchUp Make and the newer "up to date" SketchUp Pro. Add the Engineering ToolBox extension to your SketchUp Make/Pro from the Extension Warehouse!
Translate this Page
Translate this page to Your Own Language.
About the Engineering ToolBox!
Privacy Policy
We don't collect information from our users. More about
- the Engineering ToolBox Privacy Policy
We use a third-party to provide monetization technologies for our site. You can review their privacy and cookie policy here.
You can change your privacy settings by clicking the following button: .
Advertise in the ToolBox
If you want to promote your products or services in the Engineering ToolBox - please use Google Adwords. You can target the Engineering ToolBox by using AdWords Managed Placements.
Citation
This page can be cited as
- The Engineering ToolBox (2008). Angular Motion - Power and Torque. [online] Available at: https://www.engineeringtoolbox.com/angular-velocity-acceleration-power-torque-d_1397.html [Accessed Day Month Year].
Modify the access date according your visit.
