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Time given Rate of Change of Acceleration Formula

GoTime given Length of Valley Curve and Design Speed Formula

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The time it takes for a vehicle or object to traverse the length of the valley curve while experiencing a specific rate of change of acceleration. Check FAQs

t = \frac{\frac{v^{2}}{R}}{C a}

t - Time?v - Design Speed?R - Radius of Curve?C_a - Rate of Change of Acceleration?

Time given Rate of Change of Acceleration Example

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Here is how the Time given Rate of Change of Acceleration equation looks like with Values.

Here is how the Time given Rate of Change of Acceleration equation looks like with Units.

Here is how the Time given Rate of Change of Acceleration equation looks like.

2.5438 = \frac{\frac{5^{2}}{2.34}}{4.2}

2.5438s = \frac{\frac{{5m/s}^{2}}{2.34m}}{4.2m/s}

2.5438 = \frac{\frac{5^{2}}{2.34}}{4.2}

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Time given Rate of Change of Acceleration Solution

Follow our step by step solution on how to calculate Time given Rate of Change of Acceleration?

FIRST Step Consider the formula

t = \frac{\frac{v^{2}}{R}}{C a}

Next Step Substitute values of Variables

∴

t = \frac{\frac{{5m/s}^{2}}{2.34m}}{4.2m/s}

Next Step Prepare to Evaluate

∴

t = \frac{\frac{5^{2}}{2.34}}{4.2}

Next Step Evaluate

∴

t = 2.54375254375254s

LAST Step Rounding Answer

∴

t = 2.5438s

Time given Rate of Change of Acceleration Formula Elements

Variables

Time

The time it takes for a vehicle or object to traverse the length of the valley curve while experiencing a specific rate of change of acceleration.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time

Design Speed

Design speed refers to the intended or planned operating speed for a particular section of a roadway or railway.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Design Speed

Radius of Curve

Radius of Curve typically represents the minimum radius of the curve.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Curve

Rate of Change of Acceleration

Rate of Change of Acceleration refers to how quickly the acceleration of an object changes over time.

Symbol: C_a

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Rate of Change of Acceleration

Other Formulas to find Time

Go Time given Length of Valley Curve and Design Speed

t = \frac{L s}{v}

Other formulas in Design of Valley Curve category

Go Length of Valley Curve given Time and Design Speed

L s = v \cdot t

Go Rate of Change of Acceleration

C a = \frac{v^{3}}{L s \cdot R}

Go Radius of Curve given Length of Valley Curve

R = \frac{v^{3}}{L s \cdot C a}

Go Design Speed given Length of Valley Curve

v = {(L s \cdot R \cdot C a)}^{\frac{1}{3}}

How to Evaluate Time given Rate of Change of Acceleration?

Time given Rate of Change of Acceleration evaluator uses Time = ((Design Speed^2)/Radius of Curve)/Rate of Change of Acceleration to evaluate the Time, Time given Rate of Change of Acceleration formula is calculated by dividing the square of the design speed by the product of the radius of the curve and the rate of change of acceleration. Time is denoted by t symbol.

How to evaluate Time given Rate of Change of Acceleration using this online evaluator? To use this online evaluator for Time given Rate of Change of Acceleration, enter Design Speed (v), Radius of Curve (R) & Rate of Change of Acceleration (C_a) and hit the calculate button.

FAQs on Time given Rate of Change of Acceleration

What is the formula to find Time given Rate of Change of Acceleration?

The formula of Time given Rate of Change of Acceleration is expressed as Time = ((Design Speed^2)/Radius of Curve)/Rate of Change of Acceleration. Here is an example- 1.114678 = ((5^2)/2.34)/4.2.

How to calculate Time given Rate of Change of Acceleration?

With Design Speed (v), Radius of Curve (R) & Rate of Change of Acceleration (C_a) we can find Time given Rate of Change of Acceleration using the formula - Time = ((Design Speed^2)/Radius of Curve)/Rate of Change of Acceleration.

What are the other ways to Calculate Time?

Here are the different ways to Calculate Time-

Time=Length of Curve/Design Speed

Can the Time given Rate of Change of Acceleration be negative?

No, the Time given Rate of Change of Acceleration, measured in Time cannot be negative.

Which unit is used to measure Time given Rate of Change of Acceleration?

Time given Rate of Change of Acceleration is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time given Rate of Change of Acceleration can be measured.

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Time given Rate of Change of Acceleration Formula

​GoTime given Length of Valley Curve and Design Speed Formula

Time given Rate of Change of Acceleration Example

Time given Rate of Change of Acceleration Solution

Time given Rate of Change of Acceleration Formula Elements

Other Formulas to find Time

Other formulas in Design of Valley Curve category

How to Evaluate Time given Rate of Change of Acceleration?

FAQs on Time given Rate of Change of Acceleration

Variable Name

GoTime given Length of Valley Curve and Design Speed Formula