Angular Speed of Disc Calculator

✖Damping Torque refers to a force that acts to oppose the natural oscillation of a system, bringing it to a steady state.ⓘ Damping Torque [T]			+10% -10%
✖Damping Constant refers to a measure of how quickly vibrations or oscillations die out in a system. It quantifies the level of damping present.ⓘ Damping Constant [K_D]			+10% -10%

✖Disc Angular Speed refers to the rate at which a disc rotates around its axis. It indicates how quickly the disc is spinning relative to its center point.ⓘ Angular Speed of Disc [ω_d]

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Formula

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Angular Speed of Disc

Formula

`"ω"_{"d"} = "T"/"K"_{"D"}`

Example

`"65.06024rad/s"="54N*m"/"0.83"`

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Angular Speed of Disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Disc Angular Speed = Damping Torque/Damping Constant
ω_d = T/K_D
This formula uses 3 Variables

Variables Used

Disc Angular Speed - (Measured in Radian per Second) - Disc Angular Speed refers to the rate at which a disc rotates around its axis. It indicates how quickly the disc is spinning relative to its center point.
Damping Torque - (Measured in Newton Meter) - Damping Torque refers to a force that acts to oppose the natural oscillation of a system, bringing it to a steady state.
Damping Constant - Damping Constant refers to a measure of how quickly vibrations or oscillations die out in a system. It quantifies the level of damping present.

STEP 1: Convert Input(s) to Base Unit

Damping Torque: 54 Newton Meter --> 54 Newton Meter No Conversion Required
Damping Constant: 0.83 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_d = T/K_D --> 54/0.83

Evaluating ... ...

ω_d = 65.0602409638554

STEP 3: Convert Result to Output's Unit

65.0602409638554 Radian per Second --> No Conversion Required

FINAL ANSWER

65.0602409638554 ≈ 65.06024 Radian per Second <-- Disc Angular Speed

(Calculation completed in 00.022 seconds)

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Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 25 Instrument Characteristics Calculators

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Go Controlling Torque = (Youngs Modulus*Spring Width*Spring Thickness^3*Spring Angular Deflection)/(12*Spring Length)

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Torque of moving Coil

Go Torque on Coil = Magnetic Field*Current Carrying Coil*Coil Turns Number*Cross Sectional Area

Strength of Magnetic Field

Go Magnetic Field = Former EMF/(Former Length*Former Breadth*Former Angular Speed)

EMF induced in portion below magnetic Field

Go Former EMF = Magnetic Field*Former Length*Former Breadth*Former Angular Speed

EMF generated in Former

Go Former EMF = Magnetic Field*Former Length*Former Breadth*Former Angular Speed

Maximum Fiber Stress in Flat Spring

Go Maximum Fiber Stress = (6*Controlling Torque)/(Spring Width*Spring Thickness^2)

Full-Scale Resistance Deviation

Go Full Scale Deviation = (Maximum Displacement Deviation*100)/Percent Linearity

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Go Maximum Displacement Deviation = (Full Scale Deviation*Percent Linearity)/100

Power Consumed at Full-Scale Reading

Go Power Consumed at Full Scale = Full Scale Current*Full Scale Voltage

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Go Former Angular Speed = (2*Former Linear Velocity)/(Former Breadth)

Magnitude of Output Response

Go Output Response Magnitude = Sensitivity*Input Response Magnitude

Linear velocity of Former

Go Former Linear Velocity = (Former Breadth*Former Angular Speed)/2

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Go Input Response Magnitude = Output Response Magnitude/Sensitivity

Sensitivity

Go Sensitivity = Output Response Magnitude/Input Response Magnitude

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Go Spring Angular Deflection = Controlling Torque/Spring Constant

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Go Full Scale Voltage = Full Scale Current*Meter Resistance

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Go Smallest Reading = Largest Reading-Instrumentation Span

Largest Reading(Xmax)

Go Largest Reading = Instrumentation Span+Smallest Reading

Instrumentation Span

Go Instrumentation Span = Largest Reading-Smallest Reading

Angular Speed of Disc

Go Disc Angular Speed = Damping Torque/Damping Constant

Damping Constant

Go Damping Constant = Damping Torque/Disc Angular Speed

Damping Torque

Go Damping Torque = Damping Constant*Disc Angular Speed

DC Meter Sensitivity

Go DC Meter Sensitivity = 1/Full Scale Current

Inverse Sensitivity or Scale Factor

Go Inverse Sensitivity = 1/Sensitivity

Angular Speed of Disc Formula

Disc Angular Speed = Damping Torque/Damping Constant
ω_d = T/K_D

What is angular speed of a disc?

Angular speed of a disc measures how fast it rotates around its center, given in radians per unit time. It's calculated as the change in angle over a time interval or converted from revolutions per minute to radians per second.

How to Calculate Angular Speed of Disc?

Angular Speed of Disc calculator uses Disc Angular Speed = Damping Torque/Damping Constant to calculate the Disc Angular Speed, The Angular Speed of Disc formula is defined as is used to calculate the distance the body covers in terms of rotations or revolutions to the time taken. Speed is all about how slow or fast an object moves. Disc Angular Speed is denoted by ω_d symbol.

How to calculate Angular Speed of Disc using this online calculator? To use this online calculator for Angular Speed of Disc, enter Damping Torque (T) & Damping Constant (K_D) and hit the calculate button. Here is how the Angular Speed of Disc calculation can be explained with given input values -> 64.28571 = 54/0.83.

FAQ

What is Angular Speed of Disc?

The Angular Speed of Disc formula is defined as is used to calculate the distance the body covers in terms of rotations or revolutions to the time taken. Speed is all about how slow or fast an object moves and is represented as ω_d = T/K_D or Disc Angular Speed = Damping Torque/Damping Constant. Damping Torque refers to a force that acts to oppose the natural oscillation of a system, bringing it to a steady state & Damping Constant refers to a measure of how quickly vibrations or oscillations die out in a system. It quantifies the level of damping present.

How to calculate Angular Speed of Disc?

The Angular Speed of Disc formula is defined as is used to calculate the distance the body covers in terms of rotations or revolutions to the time taken. Speed is all about how slow or fast an object moves is calculated using Disc Angular Speed = Damping Torque/Damping Constant. To calculate Angular Speed of Disc, you need Damping Torque (T) & Damping Constant (K_D). With our tool, you need to enter the respective value for Damping Torque & Damping Constant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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