## Inclination of Plane for given Frictional Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inclination of Plane = acos(Force of Friction/(Coefficient of Friction for Hanging String*Mass of Right Body*[g]))
θp = acos(Ffri/(μhs*m2*[g]))
This formula uses 1 Constants, 2 Functions, 4 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)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)
Variables Used
Inclination of Plane - (Measured in Radian) - Inclination of Plane is the angle between the plane of motion and the horizontal when a body is hanging by a string.
Force of Friction - (Measured in Newton) - Force of Friction is the force that opposes motion between two surfaces in contact, acting along the surface, when a body hangs by a string.
Coefficient of Friction for Hanging String - Coefficient of Friction for Hanging String is the measure of the frictional force that opposes the motion of a body hanging by a string.
Mass of Right Body - (Measured in Kilogram) - Mass of Right Body is the amount of matter in an object hanging from a string, which affects its motion and oscillations.
STEP 1: Convert Input(s) to Base Unit
Force of Friction: 30.97607 Newton --> 30.97607 Newton No Conversion Required
Coefficient of Friction for Hanging String: 0.24 --> No Conversion Required
Mass of Right Body: 13.52 Kilogram --> 13.52 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θp = acos(Ffri/(μhs*m2*[g])) --> acos(30.97607/(0.24*13.52*[g]))
Evaluating ... ...
θp = 0.230907530886902
STEP 3: Convert Result to Output's Unit
0.230907530886902 Radian -->13.2300269776087 Degree (Check conversion ​here)
13.2300269776087 13.23003 Degree <-- Inclination of Plane
(Calculation completed in 00.004 seconds)
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## Credits

Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
Vinay Mishra has created this Calculator and 300+ more calculators!
Verified by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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## <Body Lying on Rough Inclined Plane Calculators

Coefficient of Friction given Tension
​ Go Coefficient of Friction for Hanging String = (Mass of Left Body+Mass of Right Body)/(Mass of Left Body*Mass of Left Body*[g])*Tension in String*sec(Inclination of body)-tan(Inclination of body)-sec(Inclination of body)
Acceleration of System with Bodies One Hanging Free, Other Lying on Rough Inclined Plane
​ Go Acceleration of System in Inclined Plane = (Mass of Left Body-Mass of Right Body*sin(Inclination of Plane)-Coefficient of Friction for Hanging String*Mass of Right Body*cos(Inclination of Plane))/(Mass of Left Body+Mass of Right Body)*[g]
Tension in String given Coefficient of Friction of Inclined Plane
​ Go Tension in String = (Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]*(1+sin(Inclination of Plane)+Coefficient of Friction for Hanging String*cos(Inclination of Plane))
Frictional Force
​ Go Force of Friction = Coefficient of Friction for Hanging String*Mass of Right Body*[g]*cos(Inclination of Plane)

## Inclination of Plane for given Frictional Force Formula

Inclination of Plane = acos(Force of Friction/(Coefficient of Friction for Hanging String*Mass of Right Body*[g]))
θp = acos(Ffri/(μhs*m2*[g]))

## What is Dry Friction?

Dry friction describes the reaction between two solid bodies in contact when they are in motion (kinetic friction) and when they are not (static friction).

## How to Calculate Inclination of Plane for given Frictional Force?

Inclination of Plane for given Frictional Force calculator uses Inclination of Plane = acos(Force of Friction/(Coefficient of Friction for Hanging String*Mass of Right Body*[g])) to calculate the Inclination of Plane, Inclination of Plane for given Frictional Force formula is defined as the angle at which a plane is inclined to the horizontal when a frictional force is applied, and it is a critical parameter in understanding the dynamics of motion on inclined planes. Inclination of Plane is denoted by θp symbol.

How to calculate Inclination of Plane for given Frictional Force using this online calculator? To use this online calculator for Inclination of Plane for given Frictional Force, enter Force of Friction (Ffri), Coefficient of Friction for Hanging String hs) & Mass of Right Body (m2) and hit the calculate button. Here is how the Inclination of Plane for given Frictional Force calculation can be explained with given input values -> 758.0247 = acos(30.97607/(0.24*13.52*[g])).

### FAQ

What is Inclination of Plane for given Frictional Force?
Inclination of Plane for given Frictional Force formula is defined as the angle at which a plane is inclined to the horizontal when a frictional force is applied, and it is a critical parameter in understanding the dynamics of motion on inclined planes and is represented as θp = acos(Ffri/(μhs*m2*[g])) or Inclination of Plane = acos(Force of Friction/(Coefficient of Friction for Hanging String*Mass of Right Body*[g])). Force of Friction is the force that opposes motion between two surfaces in contact, acting along the surface, when a body hangs by a string, Coefficient of Friction for Hanging String is the measure of the frictional force that opposes the motion of a body hanging by a string & Mass of Right Body is the amount of matter in an object hanging from a string, which affects its motion and oscillations.
How to calculate Inclination of Plane for given Frictional Force?
Inclination of Plane for given Frictional Force formula is defined as the angle at which a plane is inclined to the horizontal when a frictional force is applied, and it is a critical parameter in understanding the dynamics of motion on inclined planes is calculated using Inclination of Plane = acos(Force of Friction/(Coefficient of Friction for Hanging String*Mass of Right Body*[g])). To calculate Inclination of Plane for given Frictional Force, you need Force of Friction (Ffri), Coefficient of Friction for Hanging String hs) & Mass of Right Body (m2). With our tool, you need to enter the respective value for Force of Friction, Coefficient of Friction for Hanging String & Mass of Right Body 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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