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Normal Reaction on Inclined Plane due to Mass of Body Formula

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Normal Reaction is the force exerted by a surface on an object that is in contact with it, typically perpendicular to the surface. Check FAQs

R n = m o \cdot [g] \cdot \cos (θ i)

R_n - Normal Reaction?m_o - Mass?θ_i - Angle of Inclination?[g] - Gravitational acceleration on Earth?

Normal Reaction on Inclined Plane due to Mass of Body Example

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Here is how the Normal Reaction on Inclined Plane due to Mass of Body equation looks like with Values.

Here is how the Normal Reaction on Inclined Plane due to Mass of Body equation looks like with Units.

Here is how the Normal Reaction on Inclined Plane due to Mass of Body equation looks like.

4.2472 = 35.45 \cdot 9.8066 \cdot \cos (89.3)

4.2472N = 35.45kg \cdot 9.8066m/s² \cdot \cos (89.3°)

4.2472 = 35.45 \cdot 9.8066 \cdot \cos (89.3)

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Normal Reaction on Inclined Plane due to Mass of Body Solution

Follow our step by step solution on how to calculate Normal Reaction on Inclined Plane due to Mass of Body?

FIRST Step Consider the formula

R n = m o \cdot [g] \cdot \cos (θ i)

Next Step Substitute values of Variables

∴

R n = 35.45kg \cdot [g] \cdot \cos (89.3°)

Next Step Substitute values of Constants

∴

R n = 35.45kg \cdot 9.8066m/s² \cdot \cos (89.3°)

Next Step Convert Units

∴

R n = 35.45kg \cdot 9.8066m/s² \cdot \cos (1.5586rad)

Next Step Prepare to Evaluate

∴

R n = 35.45 \cdot 9.8066 \cdot \cos (1.5586)

Next Step Evaluate

∴

R n = 4.24718832659565N

LAST Step Rounding Answer

∴

R n = 4.2472N

Normal Reaction on Inclined Plane due to Mass of Body Formula Elements

Variables

Constants

Functions

Normal Reaction

Normal Reaction is the force exerted by a surface on an object that is in contact with it, typically perpendicular to the surface.

Symbol: R_n

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Normal Reaction

Mass

Mass is a measure of the amount of matter in an object or particle, a fundamental property in understanding dynamics and general principles.

Symbol: m_o

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass

Angle of Inclination

Angle of Inclination is the angle between the normal reaction force and the weight of an object on an inclined plane in general dynamics principles.

Symbol: θ_i

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Inclination

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Laws of Motion category

Go Momentum

p = m o \cdot v

Go Velocity of Body given Momentum

v = \frac{p}{m o}

Go Initial Momentum

P i = m o \cdot v i

Go Final Momentum

P f = m o \cdot v f

How to Evaluate Normal Reaction on Inclined Plane due to Mass of Body?

Normal Reaction on Inclined Plane due to Mass of Body evaluator uses Normal Reaction = Mass*[g]*cos(Angle of Inclination) to evaluate the Normal Reaction, Normal Reaction on Inclined Plane due to Mass of Body formula is defined as the measure of the normal reaction force exerted by an inclined plane on an object due to the mass of the body, which is influenced by the gravitational force and the angle of inclination of the plane. Normal Reaction is denoted by R_n symbol.

How to evaluate Normal Reaction on Inclined Plane due to Mass of Body using this online evaluator? To use this online evaluator for Normal Reaction on Inclined Plane due to Mass of Body, enter Mass (m_o) & Angle of Inclination (θ_i) and hit the calculate button.

FAQs on Normal Reaction on Inclined Plane due to Mass of Body

What is the formula to find Normal Reaction on Inclined Plane due to Mass of Body?

The formula of Normal Reaction on Inclined Plane due to Mass of Body is expressed as Normal Reaction = Mass*[g]*cos(Angle of Inclination). Here is an example- 1.389468 = 35.45*[g]*cos(1.55857902203064).

How to calculate Normal Reaction on Inclined Plane due to Mass of Body?

With Mass (m_o) & Angle of Inclination (θ_i) we can find Normal Reaction on Inclined Plane due to Mass of Body using the formula - Normal Reaction = Mass*[g]*cos(Angle of Inclination). This formula also uses Gravitational acceleration on Earth constant(s) and Cosine (cos) function(s).

Can the Normal Reaction on Inclined Plane due to Mass of Body be negative?

No, the Normal Reaction on Inclined Plane due to Mass of Body, measured in Force cannot be negative.

Which unit is used to measure Normal Reaction on Inclined Plane due to Mass of Body?

Normal Reaction on Inclined Plane due to Mass of Body is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Normal Reaction on Inclined Plane due to Mass of Body can be measured.

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