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) - The inclination of Plane is the angle a tilted ramp makes with the flat surface.
Force of Friction - (Measured in Newton) - Force of friction, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.
Coefficient of Friction for Hanging String - Coefficient of Friction for Hanging String is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Mass of Right Body - (Measured in Kilogram) - Mass of Right Body is the measure of the quantity of matter that a body or an object contains.
STEP 1: Convert Input(s) to Base Unit
Force of Friction: 30.99 Newton --> 30.99 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(30.99/(0.24*13.52*[g]))
Evaluating ... ...
θp = 0.228986879788498
STEP 3: Convert Result to Output's Unit
0.228986879788498 Radian -->13.119981775753 Degree (Check conversion here)
FINAL ANSWER
13.119981775753 13.11998 Degree <-- Inclination of Plane
(Calculation completed in 00.004 seconds)

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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7 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))
Coefficient of Friction given Frictional Force
Go Coefficient of Friction for Hanging String = Force of Friction/(Mass of Right Body*[g]*cos(Inclination of Plane))
Inclination of Plane for given Frictional Force
Go Inclination of Plane = acos(Force of Friction/(Coefficient of Friction for Hanging String*Mass of Right Body*[g]))
Mass of Body B given Frictional Force
Go Mass of Right Body = Force of Friction/(Coefficient of Friction for Hanging String*[g]*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, The Inclination of plane for given frictional force acting on body B is the function of the coefficient of friction at the interface and the mass of body B. 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 -> 2248.123 = acos(30.99/(0.24*13.52*[g])).

FAQ

What is Inclination of Plane for given Frictional Force?
The Inclination of plane for given frictional force acting on body B is the function of the coefficient of friction at the interface and the mass of body B 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, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force, Coefficient of Friction for Hanging String is the ratio defining the force that resists the motion of one body in relation to another body in contact with it & Mass of Right Body is the measure of the quantity of matter that a body or an object contains.
How to calculate Inclination of Plane for given Frictional Force?
The Inclination of plane for given frictional force acting on body B is the function of the coefficient of friction at the interface and the mass of body B 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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