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Angular Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
angular_speed = Angular Displacement/Total Time Taken
ω = θ/t
This formula uses 2 Variables
Variables Used
Angular Displacement - Angular displacement is defined as the shortest angle between the initial and the final points for a given object undergoing circular motion about a fixed point. (Measured in Revolution)
Total Time Taken - Total Time Taken is the total time taken by the body to cover that space. (Measured in Second)
STEP 1: Convert Input(s) to Base Unit
Angular Displacement: 3 Revolution --> 18.8495559205789 Radian (Check conversion here)
Total Time Taken: 80 Second --> 80 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ω = θ/t --> 18.8495559205789/80
Evaluating ... ...
ω = 0.235619449007236
STEP 3: Convert Result to Output's Unit
0.235619449007236 Radian per Second -->0.037499999998088 Revolution per Second (Check conversion here)
FINAL ANSWER
0.037499999998088 Revolution per Second <-- Angular Speed
(Calculation completed in 00.016 seconds)
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11 Other formulas that you can solve using the same Inputs

Co-efficient of discharge considering time of emptying a hemispherical tank
coefficient_of_discharging = (pi*(((4/3)*hemispherical tank radius*((initial height of liquid^(3/2))-(final height of liquid^(3/2))))-((2/5)*((initial height of liquid^(5/2))-(final height of liquid)^(5/2)))))/(Total Time Taken*area of orifice*(sqrt(2*9.81))) Go
Area of orifice considering time of emptying a hemispherical tank
area_of_orifice = (pi*(((4/3)*hemispherical tank radius*((initial height of liquid^(3/2))-(final height of liquid^(3/2))))-((2/5)*((initial height of liquid^(5/2))-(final height of liquid)^(5/2)))))/(Total Time Taken*coefficient of discharging*(sqrt(2*9.81))) Go
Co-efficient of discharge considering time of emptying a circular horizontal tank
coefficient_of_discharging = (4*Length*((((2*Radius 1)-final height of liquid)^(3/2))-((2*Radius 1)-initial height of liquid)^(3/2)))/(3*Total Time Taken*area of orifice*(sqrt(2*9.81))) Go
Coefficient of discharge for time required to empty a reservoir
coefficient_of_discharging = ((3*Area)/(Total Time Taken*Length*(sqrt(2*[g]))))*((1/sqrt(final height of liquid))-(1/sqrt(initial height of liquid))) Go
Length of crest of the weir or notch
length = ((3*Area)/(coefficient of discharging*Total Time Taken*(sqrt(2*[g]))))*((1/sqrt(final height of liquid))-(1/sqrt(initial height of liquid))) Go
Area of tank while considering time for emptying a tank
area_of_tank = (Total Time Taken*coefficient of discharging*area of orifice*(sqrt(2*9.81)))/(2*((sqrt(initial height of liquid))-(sqrt(final height of liquid)))) Go
Co-efficient of discharge considering time for emptying a tank
coefficient_of_discharging = (2*area of tank*((sqrt(initial height of liquid))-(sqrt(final height of liquid))))/(Total Time Taken*area of orifice*sqrt(2*9.81)) Go
Average Speed
average_speed = Total Distance Traveled/Total Time Taken Go
Acceleration
acceleration = Change in Velocity/Total Time Taken Go
The velocity of the fluid particle
velocity_fluid = Displacement/Total Time Taken Go
Electric Current when Charge and Time are Given
electric_current = Charge/Total Time Taken Go

11 Other formulas that calculate the same Output

Speed of Outer Cylinder when Dynamic Viscosity of Fluid is Given
angular_speed = (15*Torque on Inner Cylinder*(Radius 2-Radius 1))/(pi*pi*Radius 1*Radius 1*Radius 2*Height*Dynamic viscosity) Go
Speed of Outer Cylinder when Velocity Gradient is Given
angular_speed = Velocity Gradient/((pi*Radius 2)/(30*(Radius 2-Radius 1))) Go
Angular Speed Of Series DC Generator Using Kf
angular_speed = Induced voltage/(constant based on machine construction*Magnetic Flux*Armature Current) Go
Angular Speed Of Series DC Motor Using Kf
angular_speed = Induced voltage/(constant based on machine construction*Armature Current*Magnetic Flux) Go
Angular Speed Using Electrical Efficiency Of Dc Motor
angular_speed = Electrical Efficiency*Voltage*Armature Current/armature torque Go
Angular Speed Of DC Shunt Motor Using Kf
angular_speed = Back emf/(constant based on machine construction*Magnetic Flux) Go
Angular Speed Of The Dc Machine
angular_speed = (2*pi*Motor Speed)/60 Go
Angular Speed Of Series DC Motor Using Output Power
angular_speed = Output Power/Torque Go
Angular Speed Of DC Shunt Motor Using Output Power
angular_speed = Output Power/Torque Go
Angular Speed Of Series DC Generator Using Torque
angular_speed = Input Power/Torque Go
Angular Speed Of Series DC Generator Using Generated Power
angular_speed = Power/Torque Go

Angular Speed Formula

angular_speed = Angular Displacement/Total Time Taken
ω = θ/t

How to Calculate Angular Speed?

Angular Speed calculator uses angular_speed = Angular Displacement/Total Time Taken to calculate the Angular Speed, Angular speed is defined as the rate of change of angular displacement. Angular Speed and is denoted by ω symbol.

How to calculate Angular Speed using this online calculator? To use this online calculator for Angular Speed, enter Angular Displacement (θ) and Total Time Taken (t) and hit the calculate button. Here is how the Angular Speed calculation can be explained with given input values -> 0.0375 = 18.8495559205789/80.

FAQ

What is Angular Speed?
Angular speed is defined as the rate of change of angular displacement and is represented as ω = θ/t or angular_speed = Angular Displacement/Total Time Taken. Angular displacement is defined as the shortest angle between the initial and the final points for a given object undergoing circular motion about a fixed point and Total Time Taken is the total time taken by the body to cover that space.
How to calculate Angular Speed?
Angular speed is defined as the rate of change of angular displacement is calculated using angular_speed = Angular Displacement/Total Time Taken. To calculate Angular Speed, you need Angular Displacement (θ) and Total Time Taken (t). With our tool, you need to enter the respective value for Angular Displacement and Total Time Taken and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Angular Speed?
In this formula, Angular Speed uses Angular Displacement and Total Time Taken. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • angular_speed = (2*pi*Motor Speed)/60
  • angular_speed = Induced voltage/(constant based on machine construction*Magnetic Flux*Armature Current)
  • angular_speed = Power/Torque
  • angular_speed = Input Power/Torque
  • angular_speed = Back emf/(constant based on machine construction*Magnetic Flux)
  • angular_speed = Output Power/Torque
  • angular_speed = Induced voltage/(constant based on machine construction*Armature Current*Magnetic Flux)
  • angular_speed = Output Power/Torque
  • angular_speed = Electrical Efficiency*Voltage*Armature Current/armature torque
  • angular_speed = Velocity Gradient/((pi*Radius 2)/(30*(Radius 2-Radius 1)))
  • angular_speed = (15*Torque on Inner Cylinder*(Radius 2-Radius 1))/(pi*pi*Radius 1*Radius 1*Radius 2*Height*Dynamic viscosity)
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