Angle of Inclination given Tension Calculator

✖Tension is the force exerted by a string on an object, such as a body, when it is hanging or suspended from a fixed point.ⓘ Tension [T]			+10% -10%
✖Mass of Left Body is the amount of matter in an object hanging from a string, which affects the motion of the system.ⓘ Mass of Left Body [m₁]			+10% -10%
✖Mass of Right Body is the amount of matter in an object hanging from a string, which affects its motion and oscillations.ⓘ Mass of Right Body [m₂]			+10% -10%

✖Inclination of Plane is the angle between the plane of motion and the horizontal when a body is hanging by a string.ⓘ Angle of Inclination given Tension [θ_p]

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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) - Inclination of Plane is the angle between the plane of motion and the horizontal when a body is hanging by a string.
Tension - (Measured in Newton) - Tension is the force exerted by a string on an object, such as a body, when it is hanging or suspended from a fixed point.
Mass of Left Body - (Measured in Kilogram) - Mass of Left Body is the amount of matter in an object hanging from a string, which affects the motion of the system.
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

Tension: 111.1232 Newton --> 111.1232 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((111.1232*(29+13.52))/(29*13.52*[g])-1)

Evaluating ... ...

θ_p = 0.230907085494559

STEP 3: Convert Result to Output's Unit

0.230907085494559 Radian -->13.2300014585072 Degree (Check conversion here)

FINAL ANSWER

13.2300014585072 ≈ 13.23 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 » Mechanical » 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

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 Smooth Inclined Plane Calculators

Angle of Inclination given Acceleration

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX Go

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, Angle of Inclination given Tension formula is defined as a measure of the angle at which a force is applied to an object, specifically the angle at which the tension force is acting on an object, which affects the motion of the object and is crucial in understanding the concept of inclined planes and pulleys. 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 -> 758.0232 = asin((111.1232*(29+13.52))/(29*13.52*[g])-1).

FAQ

What is Angle of Inclination given Tension?

Angle of Inclination given Tension formula is defined as a measure of the angle at which a force is applied to an object, specifically the angle at which the tension force is acting on an object, which affects the motion of the object and is crucial in understanding the concept of inclined planes and pulleys 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 the force exerted by a string on an object, such as a body, when it is hanging or suspended from a fixed point, Mass of Left Body is the amount of matter in an object hanging from a string, which affects the motion of the system & 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 Angle of Inclination given Tension?

Angle of Inclination given Tension formula is defined as a measure of the angle at which a force is applied to an object, specifically the angle at which the tension force is acting on an object, which affects the motion of the object and is crucial in understanding the concept of inclined planes and pulleys 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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