Angle of Inclination given Tension Calculator

✖Tension is described as the pulling force transmitted axially by the means of a string.ⓘ Tension [T]			+10% -10%
✖Mass of Left Body is the measure of the quantity of matter that a body or an object contains.ⓘ Mass of Left Body [m₁]			+10% -10%
✖Mass of Right Body is the measure of the quantity of matter that a body or an object contains.ⓘ Mass of Right Body [m₂]			+10% -10%

✖The inclination of Plane is the angle a tilted ramp makes with the flat surface.ⓘ Angle of Inclination given Tension [θ_p]

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Formula

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Angle of Inclination given Tension

Formula

`"θ"_{"p"} = asin(("T"*("m"_{"1"}+"m"_{"2"}))/("m"_{"1"}*"m"_{"2"}*"[g]")-1)`

Example

`"13.14983°"=asin(("111N"*("29kg"+"13.52kg"))/("29kg"*"13.52kg"*"[g]")-1)`

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Angle of Inclination given Tension Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inclination of Plane = asin((Tension*(Mass of Left Body+Mass of Right Body))/(Mass of Left Body*Mass of Right Body*[g])-1)
θ_p = asin((T*(m₁+m₂))/(m₁*m₂*[g])-1)
This formula uses 1 Constants, 2 Functions, 4 Variables

Constants Used

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

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

Inclination of Plane - (Measured in Radian) - The inclination of Plane is the angle a tilted ramp makes with the flat surface.
Tension - (Measured in Newton) - Tension is described as the pulling force transmitted axially by the means of a string.
Mass of Left Body - (Measured in Kilogram) - Mass of Left Body is the measure of the quantity of matter that a body or an object contains.
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

Tension: 111 Newton --> 111 Newton No Conversion Required
Mass of Left Body: 29 Kilogram --> 29 Kilogram 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

θ_p = asin((T*(m₁+m₂))/(m₁*m₂*[g])-1) --> asin((111*(29+13.52))/(29*13.52*[g])-1)

Evaluating ... ...

θ_p = 0.229507757395886

STEP 3: Convert Result to Output's Unit

0.229507757395886 Radian -->13.1498258642992 Degree (Check conversion here)

FINAL ANSWER

13.1498258642992 ≈ 13.14983 Degree <-- Inclination of Plane

(Calculation completed in 00.004 seconds)

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Home » Physics » Mechanics » Types of Motion » Motion in Bodies Hanging by String » Body Lying on Smooth Inclined Plane » Angle of Inclination given Tension

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< 4 Body Lying on Smooth Inclined Plane Calculators

Angle of Inclination given Acceleration

Go Inclination of Plane = asin((Mass of Left Body*[g]-Mass of Left Body*Acceleration of Body-Mass of Right Body*Acceleration of Body)/(Mass of Right Body*[g]))

Acceleration of System with Bodies One Hanging Free and Other Lying on Smooth Inclined Plane

Go Acceleration of Body = (Mass of Left Body-Mass of Right Body*sin(Inclination of Plane))/(Mass of Left Body+Mass of Right Body)*[g]

Angle of Inclination given Tension

Go Inclination of Plane = asin((Tension*(Mass of Left Body+Mass of Right Body))/(Mass of Left Body*Mass of Right Body*[g])-1)

Tension in String when One Body is Lying on Smooth Inclined Plane

Go Tension = (Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]*(1+sin(Inclination of Plane))

Angle of Inclination given Tension Formula

Inclination of Plane = asin((Tension*(Mass of Left Body+Mass of Right Body))/(Mass of Left Body*Mass of Right Body*[g])-1)
θ_p = asin((T*(m₁+m₂))/(m₁*m₂*[g])-1)

Is a wedge an inclined plane?

A wedge is a triangular-shaped tool and is a portable inclined plane, and one of the six classical simple machines. It can be used to separate two objects or portions of an object, lift up an object, or hold an object in place.

How to Calculate Angle of Inclination given Tension?

Angle of Inclination given Tension calculator uses Inclination of Plane = asin((Tension*(Mass of Left Body+Mass of Right Body))/(Mass of Left Body*Mass of Right Body*[g])-1) to calculate the Inclination of Plane, The Angle of inclination given tension in the string is a function of the masses of both the bodies. Inclination of Plane is denoted by θ_p symbol.

How to calculate Angle of Inclination given Tension using this online calculator? To use this online calculator for Angle of Inclination given Tension, enter Tension (T), Mass of Left Body (m₁) & Mass of Right Body (m₂) and hit the calculate button. Here is how the Angle of Inclination given Tension calculation can be explained with given input values -> 1486.913 = asin((111*(29+13.52))/(29*13.52*[g])-1).

FAQ

What is Angle of Inclination given Tension?

The Angle of inclination given tension in the string is a function of the masses of both the bodies and is represented as θ_p = asin((T*(m₁+m₂))/(m₁*m₂*[g])-1) or Inclination of Plane = asin((Tension*(Mass of Left Body+Mass of Right Body))/(Mass of Left Body*Mass of Right Body*[g])-1). Tension is described as the pulling force transmitted axially by the means of a string, Mass of Left Body is the measure of the quantity of matter that a body or an object contains & Mass of Right Body is the measure of the quantity of matter that a body or an object contains.

How to calculate Angle of Inclination given Tension?

The Angle of inclination given tension in the string is a function of the masses of both the bodies is calculated using Inclination of Plane = asin((Tension*(Mass of Left Body+Mass of Right Body))/(Mass of Left Body*Mass of Right Body*[g])-1). To calculate Angle of Inclination given Tension, you need Tension (T), Mass of Left Body (m₁) & Mass of Right Body (m₂). With our tool, you need to enter the respective value for Tension, Mass of Left Body & 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.

How many ways are there to calculate Inclination of Plane?

In this formula, Inclination of Plane uses Tension, Mass of Left Body & Mass of Right Body. We can use 1 other way(s) to calculate the same, which is/are as follows -

Inclination of Plane = asin((Mass of Left Body*[g]-Mass of Left Body*Acceleration of Body-Mass of Right Body*Acceleration of Body)/(Mass of Right Body*[g]))

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