Normal Reaction on Inclined Plane due to Mass of Body Calculator

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General Principal to Dynamics

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Principal Parameters

✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [m_o]			+10% -10%
✖Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.ⓘ Angle of Inclination [θ_i]			+10% -10%

✖The normal reaction is the force exerted by a surface on an object in contact with it which prevents the object from passing through the surface.ⓘ Normal Reaction on Inclined Plane due to Mass of Body [R_n]

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Formula

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Normal Reaction on Inclined Plane due to Mass of Body

Formula

`"R"_{"n"} = "m"_{"o"}*"[g]"*cos("θ"_{"i"})`

Example

`"4.247188N"="35.45kg"*"[g]"*cos("89.3°")`

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Normal Reaction on Inclined Plane due to Mass of Body Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Reaction = Mass*[g]*cos(Angle of Inclination)
R_n = m_o*[g]*cos(θ_i)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Normal Reaction - (Measured in Newton) - The normal reaction is the force exerted by a surface on an object in contact with it which prevents the object from passing through the surface.
Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Angle of Inclination - (Measured in Radian) - Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.

STEP 1: Convert Input(s) to Base Unit

Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Angle of Inclination: 89.3 Degree --> 1.55857902203064 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_n = m_o*[g]*cos(θ_i) --> 35.45*[g]*cos(1.55857902203064)

Evaluating ... ...

R_n = 4.24718832659565

STEP 3: Convert Result to Output's Unit

4.24718832659565 Newton --> No Conversion Required

FINAL ANSWER

4.24718832659565 ≈ 4.247188 Newton <-- Normal Reaction

(Calculation completed in 00.004 seconds)

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Normal Reaction on Inclined Plane due to Mass of Body

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Normal Reaction on Inclined Plane due to Mass of Body Formula

Normal Reaction = Mass*[g]*cos(Angle of Inclination)
R_n = m_o*[g]*cos(θ_i)

What is normal reaction?

Force normal to the surfaces in contact is called normal reaction. It is the force acting perpendicular to two surfaces in contact with each other. It is a measure of the force holding the two surfaces together. If weight is the only vertical force acting on an object lying or moving on a horizontal surface, the normal reaction force is equal in magnitude, but opposite in direction to the weight.

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

Normal Reaction on Inclined Plane due to Mass of Body calculator uses Normal Reaction = Mass*[g]*cos(Angle of Inclination) to calculate the Normal Reaction, The Normal reaction on inclined plane due to mass of body. formula is defined as the product of mass, acceleration due to gravity and cosine of angle of inclination of plane. Normal Reaction is denoted by R_n symbol.

How to calculate Normal Reaction on Inclined Plane due to Mass of Body using this online calculator? To use this online calculator 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. Here is how the Normal Reaction on Inclined Plane due to Mass of Body calculation can be explained with given input values -> 1.389468 = 35.45*[g]*cos(1.55857902203064).

FAQ

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

The Normal reaction on inclined plane due to mass of body. formula is defined as the product of mass, acceleration due to gravity and cosine of angle of inclination of plane and is represented as R_n = m_o*[g]*cos(θ_i) or Normal Reaction = Mass*[g]*cos(Angle of Inclination). Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it & Angle of Inclination is formed by the inclination of one line to another; measured in degrees or radians.

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

The Normal reaction on inclined plane due to mass of body. formula is defined as the product of mass, acceleration due to gravity and cosine of angle of inclination of plane is calculated using Normal Reaction = Mass*[g]*cos(Angle of Inclination). To calculate Normal Reaction on Inclined Plane due to Mass of Body, you need Mass (m_o) & Angle of Inclination (θ_i). With our tool, you need to enter the respective value for Mass & Angle of Inclination and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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