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Angle of Inclination of Plane with Body A Formula

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Angle of Inclination with Body A is the angle at which Body A is inclined with respect to the horizontal when connected to other bodies by strings. Check FAQs

α a = a \sin (\frac{m a \cdot a mb + T}{m a \cdot [g]})

α_a - Angle of Inclination with Body A?m_a - Mass of Body A?a_mb - Acceleration of Body in Motion?T - Tension of String?[g] - Gravitational acceleration on Earth?

Angle of Inclination of Plane with Body A Example

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Here is how the Angle of Inclination of Plane with Body A equation looks like with Values.

Here is how the Angle of Inclination of Plane with Body A equation looks like with Units.

Here is how the Angle of Inclination of Plane with Body A equation looks like.

23.118 = a \sin (\frac{29.1 \cdot 3.35 + 14.56}{29.1 \cdot 9.8066})

23.118° = a \sin (\frac{29.1kg \cdot 3.35m/s² + 14.56N}{29.1kg \cdot 9.8066m/s²})

23.118 = a \sin (\frac{29.1 \cdot 3.35 + 14.56}{29.1 \cdot 9.8066})

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Angle of Inclination of Plane with Body A Solution

Follow our step by step solution on how to calculate Angle of Inclination of Plane with Body A?

FIRST Step Consider the formula

α a = a \sin (\frac{m a \cdot a mb + T}{m a \cdot [g]})

Next Step Substitute values of Variables

∴

α a = a \sin (\frac{29.1kg \cdot 3.35m/s² + 14.56N}{29.1kg \cdot [g]})

Next Step Substitute values of Constants

∴

α a = a \sin (\frac{29.1kg \cdot 3.35m/s² + 14.56N}{29.1kg \cdot 9.8066m/s²})

Next Step Prepare to Evaluate

∴

α a = a \sin (\frac{29.1 \cdot 3.35 + 14.56}{29.1 \cdot 9.8066})

Next Step Evaluate

∴

α a = 0.403484907795628rad

Next Step Convert to Output's Unit

∴

α a = 23.117982313919°

LAST Step Rounding Answer

∴

α a = 23.118°

Angle of Inclination of Plane with Body A Formula Elements

Variables

Constants

Functions

Angle of Inclination with Body A

Angle of Inclination with Body A is the angle at which Body A is inclined with respect to the horizontal when connected to other bodies by strings.

Symbol: α_a

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Inclination with Body A

Mass of Body A

Mass of Body A is the amount of matter in an object, a measure of its resistance to changes in its motion.

Symbol: m_a

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Body A

Acceleration of Body in Motion

Acceleration of Body in Motion is the rate of change of velocity of an object moving in a circular path connected by strings.

Symbol: a_mb

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Acceleration of Body in Motion

Tension of String

Tension of String is the force exerted by a string on an object, causing it to accelerate or decelerate in a connected system of bodies.

Symbol: T

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Tension of String

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 in Body Lying on Smooth Inclined Plane category

Go Tension in String if Both Bodies are Lying on Smooth Inclined Planes

T = \frac{m a \cdot m b}{m a + m b} \cdot [g] \cdot (\sin (α 1) + \sin (α 2))

Go Acceleration of System with Bodies Connected by String and Lying on Smooth Inclined Planes

a mb = \frac{m a \cdot \sin (α a) - m b \cdot \sin (α b)}{m a + m b} \cdot [g]

Go Angle of Inclination of Plane with Body B

α b = a \sin (\frac{T - m b \cdot a mb}{m b \cdot [g]})

How to Evaluate Angle of Inclination of Plane with Body A?

Angle of Inclination of Plane with Body A evaluator uses Angle of Inclination with Body A = asin((Mass of Body A*Acceleration of Body in Motion+Tension of String)/(Mass of Body A*[g])) to evaluate the Angle of Inclination with Body A, Angle of Inclination of Plane with Body A formula is defined as a measure of the angle between the plane of body A and the horizontal plane, which is essential in understanding the orientation and stability of the body in various physical situations. Angle of Inclination with Body A is denoted by α_a symbol.

How to evaluate Angle of Inclination of Plane with Body A using this online evaluator? To use this online evaluator for Angle of Inclination of Plane with Body A, enter Mass of Body A (m_a), Acceleration of Body in Motion (a_mb) & Tension of String (T) and hit the calculate button.

FAQs on Angle of Inclination of Plane with Body A

What is the formula to find Angle of Inclination of Plane with Body A?

The formula of Angle of Inclination of Plane with Body A is expressed as Angle of Inclination with Body A = asin((Mass of Body A*Acceleration of Body in Motion+Tension of String)/(Mass of Body A*[g])). Here is an example- 1324.563 = asin((29.1*3.35+14.56)/(29.1*[g])).

How to calculate Angle of Inclination of Plane with Body A?

With Mass of Body A (m_a), Acceleration of Body in Motion (a_mb) & Tension of String (T) we can find Angle of Inclination of Plane with Body A using the formula - Angle of Inclination with Body A = asin((Mass of Body A*Acceleration of Body in Motion+Tension of String)/(Mass of Body A*[g])). This formula also uses Gravitational acceleration on Earth constant(s) and , Sine (sin), Inverse Sine (asin) function(s).

Can the Angle of Inclination of Plane with Body A be negative?

Yes, the Angle of Inclination of Plane with Body A, measured in Angle can be negative.

Which unit is used to measure Angle of Inclination of Plane with Body A?

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

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Angle of Inclination of Plane with Body A Formula

Angle of Inclination of Plane with Body A Example

Angle of Inclination of Plane with Body A Solution

Angle of Inclination of Plane with Body A Formula Elements

Other formulas in Body Lying on Smooth Inclined Plane category

How to Evaluate Angle of Inclination of Plane with Body A?

FAQs on Angle of Inclination of Plane with Body A

Variable Name