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Angle of Inclination given Tension Formula

GoAngle of Inclination given Acceleration Formula

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Inclination of Plane is the angle between the plane of motion and the horizontal when a body is hanging by a string. Check FAQs

θ p = a \sin (\frac{T \cdot (m 1 + m 2)}{m 1 \cdot m 2 \cdot [g]} - 1)

θ_p - Inclination of Plane?T - Tension?m₁ - Mass of Left Body?m₂ - Mass of Right Body?[g] - Gravitational acceleration on Earth?

Angle of Inclination given Tension Example

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Here is how the Angle of Inclination given Tension equation looks like with Values.

Here is how the Angle of Inclination given Tension equation looks like with Units.

Here is how the Angle of Inclination given Tension equation looks like.

13.23 = a \sin (\frac{111.1232 \cdot (29 + 13.52)}{29 \cdot 13.52 \cdot 9.8066} - 1)

13.23° = a \sin (\frac{111.1232N \cdot (29kg + 13.52kg)}{29kg \cdot 13.52kg \cdot 9.8066m/s²} - 1)

13.23 = a \sin (\frac{111.1232 \cdot (29 + 13.52)}{29 \cdot 13.52 \cdot 9.8066} - 1)

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Angle of Inclination given Tension Solution

Follow our step by step solution on how to calculate Angle of Inclination given Tension?

FIRST Step Consider the formula

θ p = a \sin (\frac{T \cdot (m 1 + m 2)}{m 1 \cdot m 2 \cdot [g]} - 1)

Next Step Substitute values of Variables

∴

θ p = a \sin (\frac{111.1232N \cdot (29kg + 13.52kg)}{29kg \cdot 13.52kg \cdot [g]} - 1)

Next Step Substitute values of Constants

∴

θ p = a \sin (\frac{111.1232N \cdot (29kg + 13.52kg)}{29kg \cdot 13.52kg \cdot 9.8066m/s²} - 1)

Next Step Prepare to Evaluate

∴

θ p = a \sin (\frac{111.1232 \cdot (29 + 13.52)}{29 \cdot 13.52 \cdot 9.8066} - 1)

Next Step Evaluate

∴

θ p = 0.230907085494559rad

Next Step Convert to Output's Unit

∴

θ p = 13.2300014585072°

LAST Step Rounding Answer

∴

θ p = 13.23°

Angle of Inclination given Tension Formula Elements

Variables

Constants

Functions

Inclination of Plane

Inclination of Plane is the angle between the plane of motion and the horizontal when a body is hanging by a string.

Symbol: θ_p

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Inclination of Plane

Tension

Tension is the force exerted by a string on an object, such as a body, when it is hanging or suspended from a fixed point.

Symbol: T

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Tension

Mass of Left Body

Mass of Left Body is the amount of matter in an object hanging from a string, which affects the motion of the system.

Symbol: m₁

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Left Body

Mass of Right Body

Mass of Right Body is the amount of matter in an object hanging from a string, which affects its motion and oscillations.

Symbol: m₂

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Right Body

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(Number)

Other Formulas to find Inclination of Plane

Go Angle of Inclination given Acceleration

θ p = a \sin (\frac{m 1 \cdot [g] - m 1 \cdot a s - m 2 \cdot a s}{m 2 \cdot [g]})

Other formulas in Body Lying on Smooth Inclined Plane category

Go Tension in String when One Body is Lying on Smooth Inclined Plane

T = \frac{m 1 \cdot m 2}{m 1 + m 2} \cdot [g] \cdot (1 + \sin (θ p))

Go Acceleration of System with Bodies One Hanging Free and Other Lying on Smooth Inclined Plane

a s = \frac{m 1 - m 2 \cdot \sin (θ p)}{m 1 + m 2} \cdot [g]

How to Evaluate Angle of Inclination given Tension?

Angle of Inclination given Tension evaluator uses Inclination of Plane = asin((Tension*(Mass of Left Body+Mass of Right Body))/(Mass of Left Body*Mass of Right Body*[g])-1) to evaluate the Inclination of Plane, Angle of Inclination given Tension formula is defined as a measure of the angle at which a force is applied to an object, specifically the angle at which the tension force is acting on an object, which affects the motion of the object and is crucial in understanding the concept of inclined planes and pulleys. Inclination of Plane is denoted by θ_p symbol.

How to evaluate Angle of Inclination given Tension using this online evaluator? To use this online evaluator for Angle of Inclination given Tension, enter Tension (T), Mass of Left Body (m₁) & Mass of Right Body (m₂) and hit the calculate button.

FAQs on Angle of Inclination given Tension

What is the formula to find Angle of Inclination given Tension?

The formula of Angle of Inclination given Tension is expressed as Inclination of Plane = asin((Tension*(Mass of Left Body+Mass of Right Body))/(Mass of Left Body*Mass of Right Body*[g])-1). Here is an example- 758.0232 = asin((111.1232*(29+13.52))/(29*13.52*[g])-1).

How to calculate Angle of Inclination given Tension?

With Tension (T), Mass of Left Body (m₁) & Mass of Right Body (m₂) we can find Angle of Inclination given Tension using the formula - Inclination of Plane = asin((Tension*(Mass of Left Body+Mass of Right Body))/(Mass of Left Body*Mass of Right Body*[g])-1). This formula also uses Gravitational acceleration on Earth constant(s) and , Sine (sin), Inverse Sine (asin) function(s).

What are the other ways to Calculate Inclination of Plane?

Here are the different ways to Calculate Inclination of Plane-

Inclination of Plane=asin((Mass of Left Body*[g]-Mass of Left Body*Acceleration of Body-Mass of Right Body*Acceleration of Body)/(Mass of Right Body*[g]))

Can the Angle of Inclination given Tension be negative?

Yes, the Angle of Inclination given Tension, measured in Angle can be negative.

Which unit is used to measure Angle of Inclination given Tension?

Angle of Inclination given Tension is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Inclination given Tension can be measured.

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