Angle of Inclination of Plane with Body B Calculator

✖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%
✖Mass of Body B is the quantity of matter in an object connected to another body through a string or cord.ⓘ Mass of Body B [m_b]			+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%

✖Angle of Inclination with Body B is the angle at which Body B is inclined with respect to the horizontal when connected to another body by a string.ⓘ Angle of Inclination of Plane with Body B [α_b]

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Angle of Inclination of Plane with Body B Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Inclination with Body B = asin((Tension of String-Mass of Body B*Acceleration of Body in Motion)/(Mass of Body B*[g]))
α_b = asin((T-m_b*a_mb)/(m_b*[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 B - (Measured in Radian) - Angle of Inclination with Body B is the angle at which Body B is inclined with respect to the horizontal when connected to another body by a string.
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.
Mass of Body B - (Measured in Kilogram) - Mass of Body B is the quantity of matter in an object connected to another body through a string or cord.
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.

STEP 1: Convert Input(s) to Base Unit

Tension of String: 14.56 Newton --> 14.56 Newton No Conversion Required
Mass of Body B: 1.11 Kilogram --> 1.11 Kilogram No Conversion Required
Acceleration of Body in Motion: 3.35 Meter per Square Second --> 3.35 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_b = asin((T-m_b*a_mb)/(m_b*[g])) --> asin((14.56-1.11*3.35)/(1.11*[g]))

Evaluating ... ...

α_b = 1.48097490897442

STEP 3: Convert Result to Output's Unit

1.48097490897442 Radian -->84.8536118490215 Degree (Check conversion here)

FINAL ANSWER

84.8536118490215 ≈ 84.85361 Degree <-- Angle of Inclination with Body B

(Calculation completed in 00.020 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 B

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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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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 B Formula

LaTeX 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]))
α_b = asin((T-m_b*a_mb)/(m_b*[g]))

What is the Magnitude of Limiting Friction?

The magnitude of limiting friction is directly proportional to the normal reaction between the two surfaces.

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

Angle of Inclination of Plane with Body B calculator uses Angle of Inclination with Body B = asin((Tension of String-Mass of Body B*Acceleration of Body in Motion)/(Mass of Body B*[g])) to calculate the Angle of Inclination with Body B, Angle of Inclination of Plane with Body B formula is defined as the angle at which a plane is inclined with respect to the body, measured as the angle between the plane and the horizontal, which affects the motion of an object on the plane, particularly in the context of friction and gravity. Angle of Inclination with Body B is denoted by α_b symbol.

How to calculate Angle of Inclination of Plane with Body B using this online calculator? To use this online calculator for Angle of Inclination of Plane with Body B, enter Tension of String (T), Mass of Body B (m_b) & Acceleration of Body in Motion (a_mb) and hit the calculate button. Here is how the Angle of Inclination of Plane with Body B calculation can be explained with given input values -> 4861.754 = asin((14.56-1.11*3.35)/(1.11*[g])).

FAQ

What is Angle of Inclination of Plane with Body B?

Angle of Inclination of Plane with Body B formula is defined as the angle at which a plane is inclined with respect to the body, measured as the angle between the plane and the horizontal, which affects the motion of an object on the plane, particularly in the context of friction and gravity and is represented as α_b = asin((T-m_b*a_mb)/(m_b*[g])) or Angle of Inclination with Body B = asin((Tension of String-Mass of Body B*Acceleration of Body in Motion)/(Mass of Body B*[g])). 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, Mass of Body B is the quantity of matter in an object connected to another body through a string or cord & Acceleration of Body in Motion is the rate of change of velocity of an object moving in a circular path connected by strings.

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

Angle of Inclination of Plane with Body B formula is defined as the angle at which a plane is inclined with respect to the body, measured as the angle between the plane and the horizontal, which affects the motion of an object on the plane, particularly in the context of friction and gravity is calculated using Angle of Inclination with Body B = asin((Tension of String-Mass of Body B*Acceleration of Body in Motion)/(Mass of Body B*[g])). To calculate Angle of Inclination of Plane with Body B, you need Tension of String (T), Mass of Body B (m_b) & Acceleration of Body in Motion (a_mb). With our tool, you need to enter the respective value for Tension of String, Mass of Body B & Acceleration of Body in Motion 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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