Angular Velocity given Speed in RPM Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angular Velocity = (2*pi*Speed of Shaft A in RPM)/60
ω = (2*pi*NA)/60
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Speed of Shaft A in RPM - Speed of shaft A in rpm is the speed at which the shaft tends to vibrate violently in the transverse direction.
STEP 1: Convert Input(s) to Base Unit
Speed of Shaft A in RPM: 9 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ω = (2*pi*NA)/60 --> (2*pi*9)/60
Evaluating ... ...
ω = 0.942477796076938
STEP 3: Convert Result to Output's Unit
0.942477796076938 Radian per Second --> No Conversion Required
FINAL ANSWER
0.942477796076938 0.942478 Radian per Second <-- Angular Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verified by Team Softusvista
Softusvista Office (Pune), India
Team Softusvista has verified this Calculator and 1100+ more calculators!

17 Kinetics Calculators

Loss of Kinetic Energy during Perfectly Inelastic Collision
Go Loss of K.E During Perfectly Inelastic Collision = (Mass of Body A*Mass of Body B*(Initial Velocity of Body A Before the Collision-Initial Velocity of Body B Before the Collision)^2)/(2*(Mass of Body A+Mass of Body B))
Final Velocity of Bodies A and B after Inelastic Collision
Go Final Speed of A and B After Inelastic Collision = (Mass of Body A*Initial Velocity of Body A Before the Collision+Mass of Body B*Initial Velocity of Body B Before the Collision)/(Mass of Body A+Mass of Body B)
Coefficient of Restitution
Go Coefficient of Restitution = (Final Velocity of Body A After Elastic Collision-Final Velocity of Body B After Elastic Collision)/(Initial Velocity of Body B Before the Collision-Initial Velocity of Body A Before the Collision)
Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B
Go Equivalent Mass MOI of Geared System = Mass Moment of Inertia of Mass Attached to Shaft A+(Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B)/Gear Efficiency
Kinetic Energy of System after Inelastic Collision
Go Kinetic Energy of System After Inelastic Collision = ((Mass of Body A+Mass of Body B)*Final Speed of A and B After Inelastic Collision^2)/2
Impulsive Force
Go Impulsive Force = (Mass*(Final Velocity-Initial Velocity))/Time Taken to Travel
Loss of Kinetic Energy during Imperfect Elastic Impact
Go Loss of Kinetic Energy During an Elastic Collision = Loss of K.E During Perfectly Inelastic Collision*(1-Coefficient of Restitution^2)
Speed of Guide Pulley
Go Speed of Guide Pulley = Speed of Drum Pulley*Diameter of Drum Pulley/Diameter of Guide Pulley
Centripetal Force or Centrifugal Force for given Angular Velocity and Radius of Curvature
Go Centripetal Force = Mass*Angular Velocity^2*Radius of Curvature
Total Kinetic Energy of Geared System
Go Kinetic Energy = (Equivalent Mass MOI of Geared System*Angular Acceleration of Shaft A^2)/2
Overall Efficiency from Shaft A to X
Go Overall Efficiency from Shaft A to X = Gear Efficiency^Total no. of Gear Pairs
Angular Acceleration of Shaft B given Gear Ratio and Angular Acceleration of Shaft A
Go Angular Acceleration of Shaft B = Gear Ratio*Angular Acceleration of Shaft A
Gear Ratio when Two Shafts A and B are Geared Together
Go Gear Ratio = Speed of Shaft B in RPM/Speed of Shaft A in RPM
Angular Velocity given Speed in RPM
Go Angular Velocity = (2*pi*Speed of Shaft A in RPM)/60
Efficiency of Machine
Go Gear Efficiency = Output Power/Input Power
Power Loss
Go Power Loss = Input Power-Output Power
Impulse
Go Impulse = Force*Time Taken to Travel

Angular Velocity given Speed in RPM Formula

Angular Velocity = (2*pi*Speed of Shaft A in RPM)/60
ω = (2*pi*NA)/60

What is R.P.M?

Revolutions per minute (R.P.M) can be converted to angular velocity in degrees per second by multiplying the rpm by 6 since one revolution is 360 degrees and there are 60 seconds per minute. If the rpm is 1 rpm, the angular velocity in degrees per second would be 6 degrees per second, since 6 multiplied by 1 is 6.

How to Calculate Angular Velocity given Speed in RPM?

Angular Velocity given Speed in RPM calculator uses Angular Velocity = (2*pi*Speed of Shaft A in RPM)/60 to calculate the Angular Velocity, Angular Velocity given Speed in RPM is a measure of turning per time unit. Revolutions per minute (R.P.M) can be converted to angular velocity in degrees per second by multiplying the rpm by 6 since one revolution is 360 degrees and there are 60 seconds per minute. Angular Velocity is denoted by ω symbol.

How to calculate Angular Velocity given Speed in RPM using this online calculator? To use this online calculator for Angular Velocity given Speed in RPM, enter Speed of Shaft A in RPM (NA) and hit the calculate button. Here is how the Angular Velocity given Speed in RPM calculation can be explained with given input values -> 0.942478 = (2*pi*9)/60.

FAQ

What is Angular Velocity given Speed in RPM?
Angular Velocity given Speed in RPM is a measure of turning per time unit. Revolutions per minute (R.P.M) can be converted to angular velocity in degrees per second by multiplying the rpm by 6 since one revolution is 360 degrees and there are 60 seconds per minute and is represented as ω = (2*pi*NA)/60 or Angular Velocity = (2*pi*Speed of Shaft A in RPM)/60. Speed of shaft A in rpm is the speed at which the shaft tends to vibrate violently in the transverse direction.
How to calculate Angular Velocity given Speed in RPM?
Angular Velocity given Speed in RPM is a measure of turning per time unit. Revolutions per minute (R.P.M) can be converted to angular velocity in degrees per second by multiplying the rpm by 6 since one revolution is 360 degrees and there are 60 seconds per minute is calculated using Angular Velocity = (2*pi*Speed of Shaft A in RPM)/60. To calculate Angular Velocity given Speed in RPM, you need Speed of Shaft A in RPM (NA). With our tool, you need to enter the respective value for Speed of Shaft A in RPM and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!