Normal Reaction on Inclined Plane due to Mass of Body Calculator

✖Mass is a measure of the amount of matter in an object or particle, a fundamental property in understanding dynamics and general principles.ⓘ Mass [m_o]			+10% -10%
✖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.ⓘ Angle of Inclination [θ_i]			+10% -10%

✖Normal Reaction is the force exerted by a surface on an object that is in contact with it, typically perpendicular to the surface.ⓘ Normal Reaction on Inclined Plane due to Mass of Body [R_n]

⎘ Copy

👎

Formula

✖

Normal Reaction on Inclined Plane due to Mass of Body

Formula

R n = m o \cdot [g] \cdot \cos (θ i)

Example

4.247188 N = 35.45 kg \cdot [g] \cdot \cos (89.3 °)

Calculator

LaTeX

Reset

👍

Download General Principal to Dynamics Formulas PDF PDF Image

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) - Normal Reaction is the force exerted by a surface on an object that is in contact with it, typically perpendicular to the surface.
Mass - (Measured in Kilogram) - Mass is a measure of the amount of matter in an object or particle, a fundamental property in understanding dynamics and general principles.
Angle of Inclination - (Measured in Radian) - 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.

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 00.020 seconds)

You are here -

Home » Physics » Mechanics » General Principal to Dynamics » Mechanical » Laws of Motion » Normal Reaction on Inclined Plane due to Mass of Body

Credits

Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!

Verified by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has verified this Calculator and 200+ more calculators!

< Laws of Motion Calculators

Initial Momentum

Go Initial Momentum = Mass*Initial Velocity of Mass

Final Momentum

Go Final Momentum = Mass*Final Velocity of Mass

Velocity of Body given Momentum

Go Velocity = Momentum/Mass

Momentum

Go Momentum = Mass*Velocity

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, 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 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?

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 and is represented as R_n = m_o*[g]*cos(θ_i) or Normal Reaction = Mass*[g]*cos(Angle of Inclination). Mass is a measure of the amount of matter in an object or particle, a fundamental property in understanding dynamics and general principles & 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.

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

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 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.

Home

FREE PDFs

🔍 Search