Motor Power Calculations (Mechanical Power Output) Mechanical power describes the output power that moves the object attached to the motor. Mechanical power(watt) (dimensionless) T: Torque(N*m) (dimensionless) : Angular velocity (1/sec) (dimensionless) I a2 R a = Copper loss in the armature winding. Once again, a sample table for motor 1624E009S is shown in Table 1. and a sample curve in Graph 1. Motors supposed to do some work and two important values define how powerful the motor is. P = W / T Where P is power, t is time and W is work done. = Q Act. We have, Power (P)=Torque (T)*Angular Velocity (w), so we get, Torque (T)=P/w, which is (2.86*10^6)/w. Equation (1) is the power equation of DC motor. Formulae for calculating Motor Power, Volumes, Efficiency, Torque and more. w=2*pi*N/60, where N is rpm of the generators prime move Continue Reading Unci Narynin E b I a = Electrical equivalent of mechanical power developed in the armature. The SI unit of power is the watt, which is equal to joule per second. To calculate power factor, you need a power quality analyzer or power analyzer that measures both working power (kW) and apparent power (kVA), and to calculate the ratio of kW/kVA. Quantity: DC: AC 1 Phase: AC 3 Phase: Current (I) Efficiency: Power Factor : Formula. The gross mechanical power developed by the motor Pm is obtained by subtracting the rotor copper losses from P2. In mechanics , the work done by a force F on an object that travels along a curve C is given by the line integral : W C = C F v P = V 2 R. Where, A voltage applied across the two ends =V, Current flowing in the circuit = I and. It is motor speed and torque the turning force of the motor. The efficiency of the motor is defined as the mechanical power output divided by the electrical power input at each calculation step. What is definition and formula of Mechanical Power? It is the rate of doing work or workdone per unit time. In S.I. system of units, the unit of power is watt (briefly written as W) which is equal to 1N-m / s or 1J/s. Generally a bigger unit of power called kilowatt (briefly written as kW) is-used which is equal to 1000W. DC Motor Parts, Structure, Design and Advantages Resistance = R. The Power Formula is The power input to the motor is the product of the motor current and the applied voltage. Here, VI a = Electrical power input to the motor (armature input). The expression for mechanical power uses the same Mechanical power is a measure of the rate at which work is performed or energy is transferred within mechanical systems. / T Act. Output mechanical power of the motor could be calculated by using the following The mechanical energy equation for a turbine - where power is produced - can be written as: pin / + vin2 / 2 + g hin. P = W/t Foot where N = Speed in r.p.m. Here E stands for energy in joule and t stands for time in seconds. Visit here to Wind turbine power output calculation equations and variables The following are the variables in our equations: m = mass (kg) v = wind speed (meters/second) A = rotor swept area () r = radius (meters) KE = kinetic energy P = power = density () = mass flow rate (kg/second) With our variables defined, lets now jump into our equations. In mechanical physics, work is the amount of force needed to move something over a selected distance. Mechanical Power Mechanical power (P) is typically expressed by the work done (W) (if expressed in Foot-pound) divided by the time (t) (if expressed in Second). At around 10% of the motor stall torque, maximum efficiency is reached. power = work done time taken power = force distance (in direction of the force) time taken, so power = The Output Power given Mechanical Efficiency of DC Motor formula is defined as the power that we will receive at the output side of the DC motor and is represented as Pout = Pcon/m or Mechanical advantage is a measure of the force amplification achieved by using a tool, mechanical device or machine system. As described above, electrical motors transform electrical energy into mechanical work. P = Power input in kW to motor (related to low efficiency pump) T = Running hours per year Pump efficiency calculation example = 75% and 65% respectively P = Power input = 40 Multiply force by distance and divide by time. Whether in the metric system or the English system, once you have collected the data for the force, the distance and the time, apply them to the formula to find the mechanical power. Since 1 horsepower equals 550 ft-lb/sec., this is about equal to one-fifth of a horsepower. Method 2 P = E/t: This formula is also called the mechanical power equation. Poweranother worked example: http://physicslounge.wordpress.com/2012/07/30/power-work-force-worked-example/ In physics, power (P) is a scalar quantity, which is the amount of energy converted and changed per unit of time. The power factor formula can be expressed in other ways: PF = (True power)/ (Apparent power) OR. This formula states that the consumption of energy per So, if we take a healthy 70% efficiency, the actual mechanical power required for 2 MW electricity would be 2/0.7=2.86 MW. PF = W/VA. How to calculate power factor. Where: = Angular velocity of the motor kE = Back-EMF constant of the motor = pout / + vout2 / 2 + g hout + Eshaft + Eloss (2) The formula for work is:[1] X Research source Work=ForceDistance{\displaystyle {\text{Work}}={\text{Force}}*{\text{Distance}}} To understand this concept, think about a 100 pound cement block. Formula Used Mechanical Power = Back emf*Armature Current Motor* (cos(Load Angle-Phase Difference in Synchronous Motor)) Pm = Eb*Ia* (cos(-s)) This formula uses 1 Functions, 5 Calculate work. / Q Theo. To use this online calculator for Mechanical Power given Input Power, enter Power Input (Pin), Armature Current (Ia) & Armature Resistance (Ra) and hit the calculate button. The device preserves the input power and simply trades off forces against movement to obtain a desired amplification in the output force. How to Use Work Calculator?. = total mechanical power developed at shaft (W) oe P fw = friction and windage losses (W) (from test) fcl P stray = stray load losses (W) (from test) P core = core losses (W) (from test) Electromechanical power that is developed at armature (W) Electric power output from armature (W) P acir = armature circuit losses I a 2(R acir ) (W) P b This article explains the key formulas for calculating brushless motor efficiency Output mechanical power of the motor could be calculated by using the following formula: : torque, measured in Newton-meters (Nm) or foot-pounds (ft/lbs); : angular speed, measured in radians per second (rad/s). It is easy to calculate angular speed if you know the rotational speed of the motor in rpm (Revolutions per minute): Gross Mechanical Power or gross electric output is the total amount of electricity generated by a power plant over a specific period of time and is represented as P m = (1-s)* P in or X 100: Pump Mechanical Efficiency - E: Mechanical Efficiency = Theoretical Torque to Drive / Actual Torque to Drive 100: Eff Mech = T Theo. Mechanical power output is then calculated based on the torque and angular speed, and electrical power input is calculated based on voltage and current supplied to the motor. Two important variables determine the mechanical capabilities of a motor: angular speed and The energy equation is often used for incompressible flow problems and is called the Mechanical Energy Equation or the Extended Bernoulli Equation. Multiplying both sides of Voltage Equation (1) by Ia , we get the Moving that block 2 feet req Power in mechanical systems is the combination of forces and movement. F A = effort to overcome the force of the object. The model for this is the law of the lever. In regard to voltage and resistance, it is articulated as. 100: Pump Displacement - CIPR current and the applied voltage is the power input to the motor. Here is how the Mechanical Power given Input Power calculation can be explained with given input values -> 39.25 = 40- (0.5*0.5*3). The formula of mechanical advantage is given as: Wherein, MA is the mechanical advantage, F B = force of the object and. Power = T.. Maximum efficiency occurs at The DC Motor block uses manufacturer datasheet parameters, which specify the motor as delivering 10W mechanical power at 2500 rpm and no-load speed as 4000 rpm when run from a 12V DC supply. 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