Angular Deflection of Spring Calculator

✖Flat Spiral Spring Controlling Torque is defined as the controlling torque is provided by two phosphorous bronze flat coiled helical springs.ⓘ Flat Spiral Spring Controlling Torque [T_c]			+10% -10%
✖Spring Constant is the displacement of the spring from its equilibrium position.ⓘ Spring Constant [Κ]			+10% -10%

✖Angular Deflection of Spring is defined as how a spring responds when force is applied or released.ⓘ Angular Deflection of Spring [θ_s]

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Formula

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Angular Deflection of Spring

Formula

`"θ"_{"s"} = ("T"_{"c"}/"Κ")*(pi/180)`

Example

`"0.666667°"=("34N*m"/"51N/m")*(pi/180)`

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Angular Deflection of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Deflection of Spring = (Flat Spiral Spring Controlling Torque/Spring Constant)*(pi/180)
θ_s = (T_c/Κ)*(pi/180)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Angular Deflection of Spring - (Measured in Radian) - Angular Deflection of Spring is defined as how a spring responds when force is applied or released.
Flat Spiral Spring Controlling Torque - (Measured in Newton Meter) - Flat Spiral Spring Controlling Torque is defined as the controlling torque is provided by two phosphorous bronze flat coiled helical springs.
Spring Constant - (Measured in Newton per Meter) - Spring Constant is the displacement of the spring from its equilibrium position.

STEP 1: Convert Input(s) to Base Unit

Flat Spiral Spring Controlling Torque: 34 Newton Meter --> 34 Newton Meter No Conversion Required
Spring Constant: 51 Newton per Meter --> 51 Newton per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_s = (T_c/Κ)*(pi/180) --> (34/51)*(pi/180)

Evaluating ... ...

θ_s = 0.0116355283466289

STEP 3: Convert Result to Output's Unit

0.0116355283466289 Radian -->0.666666666666792 Degree (Check conversion here)

FINAL ANSWER

0.666666666666792 ≈ 0.666667 Degree <-- Angular Deflection of Spring

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 25 Instrument Characteristics Calculators

Thickness of Spring

Go Thickness of Spring = (Controlling Torque*(12*Length of Pipe)/(Youngs Modulus*Width of Spring)^-1/3)

Flat Spiral Spring Controlling Torque

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

Length of Spring

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

Torque of moving Coil

Go Torque on Coil = Flux Density*Current*Number of Turns in Coil*Area of Cross-Section*0.001

Angular Deflection of Spring

Go Angular Deflection of Spring = (Flat Spiral Spring Controlling Torque/Spring Constant)*(pi/180)

Maximum Fiber Stress in Flat Spring

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

Multiplier Resistance in Ohmmeter

Go Multiplier Resistance = (Potential Difference/Current)-Galvanometer Resistance

Power Consumed at Full-Scale Reading

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

Full-Scale Voltage Reading

Go Full-scale Voltage Reading = Current at Full-Scale Reading*Resistance of Meter

Maximum Resistance Deviation in Ohmmeter

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

Angular Speed of Former

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

Breadth of Former

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

Full-Scale Resistance Deviation

Go Full-Scale Deviation = Maximum Displacement Deviation/Percent Linearity

Maximum Displacement Deviation

Go Maximum Displacement Deviation = Full-Scale Deviation*Percent Linearity

Percent Linearity in Ohmmeter

Go Percent Linearity = Maximum Displacement Deviation/Full-Scale Deviation

Magnitude of Output Response

Go Magnitude of Output Response = Sensitivity*Magnitude of Input Response

Magnitude of Input

Go Magnitude of Input Response = Magnitude of Output Response/Sensitivity

Sensitivity

Go Sensitivity = Magnitude of Output Response/Magnitude of Input Response

Smallest reading(Xmin)

Go Smallest Reading = Largest Reading-Instrumentation Span

Largest Reading(Xmax)

Go Largest Reading = Instrumentation Span+Smallest Reading

Angular Speed of Disc

Go Angular Speed of Disc = Damping Torque/Damping Constant

Area of Capillary Tube

Go Area of Capillary Tube = Area of Bulb/Length of Pipe

DC Meter Sensitivity

Go Sensitivity of DC Meter = 1/Full Scale Current Deflection

Length of Capillary Tube

Go Length of Pipe = 1/Coefficient of Volumetric Expansion

Inverse Sensitivity or Scale Factor

Go Inverse Sensitivity or Scale Factor = 1/Sensitivity

Angular Deflection of Spring Formula

Angular Deflection of Spring = (Flat Spiral Spring Controlling Torque/Spring Constant)*(pi/180)
θ_s = (T_c/Κ)*(pi/180)

What is the spring constant k?

The letter k represents the “spring constant,” a number that essentially tells us how “stiff” a spring is. If you have a large value of k, that means more force is required to stretch it a certain length than you would need to stretch a less stiff spring the same length.

How to Calculate Angular Deflection of Spring?

Angular Deflection of Spring calculator uses Angular Deflection of Spring = (Flat Spiral Spring Controlling Torque/Spring Constant)*(pi/180) to calculate the Angular Deflection of Spring, The Angular Deflection of Spring formula is defined as Spring deflection is how a spring responds when force is applied or released. Angular Deflection of Spring is denoted by θ_s symbol.

How to calculate Angular Deflection of Spring using this online calculator? To use this online calculator for Angular Deflection of Spring, enter Flat Spiral Spring Controlling Torque (T_c) & Spring Constant (Κ) and hit the calculate button. Here is how the Angular Deflection of Spring calculation can be explained with given input values -> 38.19719 = (34/51)*(pi/180).

FAQ

What is Angular Deflection of Spring?

The Angular Deflection of Spring formula is defined as Spring deflection is how a spring responds when force is applied or released and is represented as θ_s = (T_c/Κ)*(pi/180) or Angular Deflection of Spring = (Flat Spiral Spring Controlling Torque/Spring Constant)*(pi/180). Flat Spiral Spring Controlling Torque is defined as the controlling torque is provided by two phosphorous bronze flat coiled helical springs & Spring Constant is the displacement of the spring from its equilibrium position.

How to calculate Angular Deflection of Spring?

The Angular Deflection of Spring formula is defined as Spring deflection is how a spring responds when force is applied or released is calculated using Angular Deflection of Spring = (Flat Spiral Spring Controlling Torque/Spring Constant)*(pi/180). To calculate Angular Deflection of Spring, you need Flat Spiral Spring Controlling Torque (T_c) & Spring Constant (Κ). With our tool, you need to enter the respective value for Flat Spiral Spring Controlling Torque & Spring 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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