Angle of Inclination of Plane with Body A Calculator

✖Mass of Body A is the amount of matter in an object, a measure of its resistance to changes in its motion.ⓘ Mass of Body A [m_a]			+10% -10%
✖Acceleration of Body in Motion is the rate of change of velocity of an object moving in a circular path connected by strings.ⓘ Acceleration of Body in Motion [a_mb]			+10% -10%
✖Tension of String is the force exerted by a string on an object, causing it to accelerate or decelerate in a connected system of bodies.ⓘ Tension of String [T]			+10% -10%

✖Angle of Inclination with Body A is the angle at which Body A is inclined with respect to the horizontal when connected to other bodies by strings.ⓘ Angle of Inclination of Plane with Body A [α_a]

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Formula

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Angle of Inclination of Plane with Body A

Formula

α a = a \sin (\frac{m a \cdot a mb + T}{m a \cdot [g]})

Example

23.11798 ° = a \sin (\frac{29.1 kg \cdot 3.35 m/s² + 14.56 N}{29.1 kg \cdot [g]})

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Angle of Inclination of Plane with Body A Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Inclination with Body A = asin((Mass of Body A*Acceleration of Body in Motion+Tension of String)/(Mass of Body A*[g]))
α_a = asin((m_a*a_mb+T)/(m_a*[g]))
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

Angle of Inclination with Body A - (Measured in Radian) - Angle of Inclination with Body A is the angle at which Body A is inclined with respect to the horizontal when connected to other bodies by strings.
Mass of Body A - (Measured in Kilogram) - Mass of Body A is the amount of matter in an object, a measure of its resistance to changes in its motion.
Acceleration of Body in Motion - (Measured in Meter per Square Second) - Acceleration of Body in Motion is the rate of change of velocity of an object moving in a circular path connected by strings.
Tension of String - (Measured in Newton) - Tension of String is the force exerted by a string on an object, causing it to accelerate or decelerate in a connected system of bodies.

STEP 1: Convert Input(s) to Base Unit

Mass of Body A: 29.1 Kilogram --> 29.1 Kilogram No Conversion Required
Acceleration of Body in Motion: 3.35 Meter per Square Second --> 3.35 Meter per Square Second No Conversion Required
Tension of String: 14.56 Newton --> 14.56 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_a = asin((m_a*a_mb+T)/(m_a*[g])) --> asin((29.1*3.35+14.56)/(29.1*[g]))

Evaluating ... ...

α_a = 0.403484907795628

STEP 3: Convert Result to Output's Unit

0.403484907795628 Radian -->23.117982313919 Degree (Check conversion here)

FINAL ANSWER

23.117982313919 ≈ 23.11798 Degree <-- Angle of Inclination with Body A

(Calculation completed in 00.007 seconds)

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Home » Physics » Mechanics » Types of Motion » Motion in Bodies Connected by Strings » Mechanical » Body Lying on Smooth Inclined Plane » Angle of Inclination of Plane with Body A

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Created by Vinay Mishra

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

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< Body Lying on Smooth Inclined Plane Calculators

Acceleration of System with Bodies Connected by String and Lying on Smooth Inclined Planes

Go Acceleration of Body in Motion = (Mass of Body A*sin(Angle of Inclination with Body A)-Mass of Body B*sin(Angle of Inclination with Body B))/(Mass of Body A+Mass of Body B)*[g]

Tension in String if Both Bodies are Lying on Smooth Inclined Planes

Go Tension of String = (Mass of Body A*Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]*(sin(Inclination of Plane 1)+sin(Inclination of Plane 2))

Angle of Inclination of Plane with Body A

Go Angle of Inclination with Body A = asin((Mass of Body A*Acceleration of Body in Motion+Tension of String)/(Mass of Body A*[g]))

Angle of Inclination of Plane with Body B

Go Angle of Inclination with Body B = asin((Tension of String-Mass of Body B*Acceleration of Body in Motion)/(Mass of Body B*[g]))

Angle of Inclination of Plane with Body A Formula

Angle of Inclination with Body A = asin((Mass of Body A*Acceleration of Body in Motion+Tension of String)/(Mass of Body A*[g]))
α_a = asin((m_a*a_mb+T)/(m_a*[g]))

How is Static Friction is a self regulating Force?

The static frictional force is a self-regulating force because static friction will at all times be equivalent and opposite to the force applied.

How to Calculate Angle of Inclination of Plane with Body A?

Angle of Inclination of Plane with Body A calculator uses Angle of Inclination with Body A = asin((Mass of Body A*Acceleration of Body in Motion+Tension of String)/(Mass of Body A*[g])) to calculate the Angle of Inclination with Body A, Angle of Inclination of Plane with Body A formula is defined as a measure of the angle between the plane of body A and the horizontal plane, which is essential in understanding the orientation and stability of the body in various physical situations. Angle of Inclination with Body A is denoted by α_a symbol.

How to calculate Angle of Inclination of Plane with Body A using this online calculator? To use this online calculator for Angle of Inclination of Plane with Body A, enter Mass of Body A (m_a), Acceleration of Body in Motion (a_mb) & Tension of String (T) and hit the calculate button. Here is how the Angle of Inclination of Plane with Body A calculation can be explained with given input values -> 1324.563 = asin((29.1*3.35+14.56)/(29.1*[g])).

FAQ

What is Angle of Inclination of Plane with Body A?

Angle of Inclination of Plane with Body A formula is defined as a measure of the angle between the plane of body A and the horizontal plane, which is essential in understanding the orientation and stability of the body in various physical situations and is represented as α_a = asin((m_a*a_mb+T)/(m_a*[g])) or Angle of Inclination with Body A = asin((Mass of Body A*Acceleration of Body in Motion+Tension of String)/(Mass of Body A*[g])). Mass of Body A is the amount of matter in an object, a measure of its resistance to changes in its motion, Acceleration of Body in Motion is the rate of change of velocity of an object moving in a circular path connected by strings & Tension of String is the force exerted by a string on an object, causing it to accelerate or decelerate in a connected system of bodies.

How to calculate Angle of Inclination of Plane with Body A?

Angle of Inclination of Plane with Body A formula is defined as a measure of the angle between the plane of body A and the horizontal plane, which is essential in understanding the orientation and stability of the body in various physical situations is calculated using Angle of Inclination with Body A = asin((Mass of Body A*Acceleration of Body in Motion+Tension of String)/(Mass of Body A*[g])). To calculate Angle of Inclination of Plane with Body A, you need Mass of Body A (m_a), Acceleration of Body in Motion (a_mb) & Tension of String (T). With our tool, you need to enter the respective value for Mass of Body A, Acceleration of Body in Motion & Tension of String 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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