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Starting Time for Induction Motor under No Load Formula

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The Starting Time for Induction Motor on No Load is the duration required for the motor to accelerate from standstill to its rated speed when no mechanical load is applied to the motor shaft. Check FAQs

t s = (- \frac{τ m}{2}) \cdot \int ((\frac{s}{s m} + \frac{s m}{s}) \cdot x, x, 1, 0.05)

t_s - Starting Time For Induction motor on No Load?τ_m - Mechanical Time Constant of Motor?s - Slip?s_m - Slip at Maximum Torque?

Starting Time for Induction Motor under No Load Example

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Here is how the Starting Time for Induction Motor under No Load equation looks like with Values.

Here is how the Starting Time for Induction Motor under No Load equation looks like with Units.

Here is how the Starting Time for Induction Motor under No Load equation looks like.

1.2036 = (- \frac{2.359}{2}) \cdot \int ((\frac{0.83}{0.67} + \frac{0.67}{0.83}) \cdot x, x, 1, 0.05)

1.2036s = (- \frac{2.359s}{2}) \cdot \int ((\frac{0.83}{0.67} + \frac{0.67}{0.83}) \cdot x, x, 1, 0.05)

1.2036 = (- \frac{2.359}{2}) \cdot \int ((\frac{0.83}{0.67} + \frac{0.67}{0.83}) \cdot x, x, 1, 0.05)

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Starting Time for Induction Motor under No Load Solution

Follow our step by step solution on how to calculate Starting Time for Induction Motor under No Load?

FIRST Step Consider the formula

t s = (- \frac{τ m}{2}) \cdot \int ((\frac{s}{s m} + \frac{s m}{s}) \cdot x, x, 1, 0.05)

Next Step Substitute values of Variables

∴

t s = (- \frac{2.359s}{2}) \cdot \int ((\frac{0.83}{0.67} + \frac{0.67}{0.83}) \cdot x, x, 1, 0.05)

Next Step Prepare to Evaluate

∴

t s = (- \frac{2.359}{2}) \cdot \int ((\frac{0.83}{0.67} + \frac{0.67}{0.83}) \cdot x, x, 1, 0.05)

Next Step Evaluate

∴

t s = 1.2036324512228s

LAST Step Rounding Answer

∴

t s = 1.2036s

Starting Time for Induction Motor under No Load Formula Elements

Variables

Functions

Starting Time For Induction motor on No Load

The Starting Time for Induction Motor on No Load is the duration required for the motor to accelerate from standstill to its rated speed when no mechanical load is applied to the motor shaft.

Symbol: t_s

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Starting Time For Induction motor on No Load

Mechanical Time Constant of Motor

Mechanical Time Constant of Motor is defined as the time taken by motor to reach its synchronous speed from standstill under constant accelerating torque equal to the maximum torque of the motor.

Symbol: τ_m

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Mechanical Time Constant of Motor

Slip

Slip energy recovery is one of the methods of controlling the speed of an induction motor.

Symbol: s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Slip

Slip at Maximum Torque

Slip at Maximum Torque refers to the slip value at which the motor produces its highest torque while still maintaining a stable operating condition.

Symbol: s_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Slip at Maximum Torque

int

The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis.

Syntax: int(expr, arg, from, to)

Other formulas in Electric Traction Drives category

Go Torque of Squirrel Cage Induction Motor

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Go DC Output Voltage of Rectifier in Scherbius Drive Given Maximum Rotor Voltage

E DC = 3 \cdot (\frac{E peak}{π})

Go DC Output Voltage of Rectifier in Scherbius Drive Given Rotor RMS Line Voltage

E DC = (3 \cdot \sqrt{2}) \cdot (\frac{E r}{π})

Go DC Output Voltage of Rectifier in Scherbius Drive Given Rotor RMS Line Voltage at Slip

E DC = 1.35 \cdot E rms

How to Evaluate Starting Time for Induction Motor under No Load?

Starting Time for Induction Motor under No Load evaluator uses Starting Time For Induction motor on No Load = (-Mechanical Time Constant of Motor/2)*int((Slip/Slip at Maximum Torque+Slip at Maximum Torque/Slip)*x,x,1,0.05) to evaluate the Starting Time For Induction motor on No Load, The Starting Time for Induction Motor under No Load refers to the duration it takes for the motor to accelerate from rest to its rated speed when there is no mechanical load applied to the shaft. It characterizes the time required for the motor to reach its operating speed under no load conditions. Starting Time For Induction motor on No Load is denoted by t_s symbol.

How to evaluate Starting Time for Induction Motor under No Load using this online evaluator? To use this online evaluator for Starting Time for Induction Motor under No Load, enter Mechanical Time Constant of Motor (τ_m), Slip (s) & Slip at Maximum Torque (s_m) and hit the calculate button.

FAQs on Starting Time for Induction Motor under No Load

What is the formula to find Starting Time for Induction Motor under No Load?

The formula of Starting Time for Induction Motor under No Load is expressed as Starting Time For Induction motor on No Load = (-Mechanical Time Constant of Motor/2)*int((Slip/Slip at Maximum Torque+Slip at Maximum Torque/Slip)*x,x,1,0.05). Here is an example- 1.203632 = (-2.359/2)*int((0.83/0.67+0.67/0.83)*x,x,1,0.05).

How to calculate Starting Time for Induction Motor under No Load?

With Mechanical Time Constant of Motor (τ_m), Slip (s) & Slip at Maximum Torque (s_m) we can find Starting Time for Induction Motor under No Load using the formula - Starting Time For Induction motor on No Load = (-Mechanical Time Constant of Motor/2)*int((Slip/Slip at Maximum Torque+Slip at Maximum Torque/Slip)*x,x,1,0.05). This formula also uses Definite Integral (int) function(s).

Can the Starting Time for Induction Motor under No Load be negative?

No, the Starting Time for Induction Motor under No Load, measured in Time cannot be negative.

Which unit is used to measure Starting Time for Induction Motor under No Load?

Starting Time for Induction Motor under No Load is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Starting Time for Induction Motor under No Load can be measured.

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