Acceleration in System Calculator

✖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%

✖Acceleration of System is the rate of change of velocity of an object hanging by a string, affected by gravity and string's tension.ⓘ Acceleration in System [a_b]

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Acceleration in System Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acceleration of System = Mass of Left Body/(Mass of Left Body+Mass of Right Body)*[g]
a_b = m₁/(m₁+m₂)*[g]
This formula uses 1 Constants, 3 Variables

Constants Used

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

Variables Used

Acceleration of System - (Measured in Meter per Square Second) - Acceleration of System is the rate of change of velocity of an object hanging by a string, affected by gravity and string's tension.
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

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

a_b = m₁/(m₁+m₂)*[g] --> 29/(29+13.52)*[g]

Evaluating ... ...

a_b = 6.68844896519285

STEP 3: Convert Result to Output's Unit

6.68844896519285 Meter per Square Second --> No Conversion Required

FINAL ANSWER

6.68844896519285 ≈ 6.688449 Meter per Square Second <-- Acceleration of System

(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 Horizontal Plane » Acceleration in System

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 Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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< Body Lying on Smooth Horizontal Plane Calculators

Tension in String if only One Body is Freely Suspended

LaTeX Go Tension in Freely Suspended String = (Mass of Left Body*Mass of Right Body)/(Mass of Left Body+Mass of Right Body)*[g]

Acceleration in System

LaTeX Go Acceleration of System = Mass of Left Body/(Mass of Left Body+Mass of Right Body)*[g]

Acceleration in System Formula

LaTeX Go

Acceleration of System = Mass of Left Body/(Mass of Left Body+Mass of Right Body)*[g]
a_b = m₁/(m₁+m₂)*[g]

Does an In extensible String have Tension?

Yes. Tension is simply the force a string exerts against you if you pull on it. An inextensible string means no matter how much you pull on it, it won't extend: it must always exert enough tension to counterbalance whatever force you use to pull on it.

How to Calculate Acceleration in System?

Acceleration in System calculator uses Acceleration of System = Mass of Left Body/(Mass of Left Body+Mass of Right Body)*[g] to calculate the Acceleration of System, Acceleration in System formula is defined as a measure of the rate of change of velocity of an object in a given system, influenced by the masses of the objects involved and the gravitational force acting upon them. Acceleration of System is denoted by a_b symbol.

How to calculate Acceleration in System using this online calculator? To use this online calculator for Acceleration in System, enter Mass of Left Body (m₁) & Mass of Right Body (m₂) and hit the calculate button. Here is how the Acceleration in System calculation can be explained with given input values -> 6.688449 = 29/(29+13.52)*[g].

FAQ

What is Acceleration in System?

Acceleration in System formula is defined as a measure of the rate of change of velocity of an object in a given system, influenced by the masses of the objects involved and the gravitational force acting upon them and is represented as a_b = m₁/(m₁+m₂)*[g] or Acceleration of System = Mass of Left Body/(Mass of Left Body+Mass of Right Body)*[g]. 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 Acceleration in System?

Acceleration in System formula is defined as a measure of the rate of change of velocity of an object in a given system, influenced by the masses of the objects involved and the gravitational force acting upon them is calculated using Acceleration of System = Mass of Left Body/(Mass of Left Body+Mass of Right Body)*[g]. To calculate Acceleration in System, you need Mass of Left Body (m₁) & Mass of Right Body (m₂). With our tool, you need to enter the respective value for 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.

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