Acceleration in System Calculator

✖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%

✖Acceleration of System is the rate of change in velocity to the change in time.ⓘ Acceleration in System [a_b]

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Formula

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Acceleration in System

Formula

`"a"_{"b"} = "m"_{"1"}/("m"_{"1"}+"m"_{"2"})*"[g]"`

Example

`"6.688449m/s²"="29kg"/("29kg"+"13.52kg")*"[g]"`

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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 in velocity to the change in time.
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

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 » Body Lying on Smooth Horizontal Plane » Acceleration in System

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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 Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has verified this Calculator and 200+ more calculators!

< 2 Body Lying on Smooth Horizontal Plane Calculators

Tension in String if only One Body is Freely Suspended

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

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

Acceleration in System Formula

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

Does an inextensible 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, The Acceleration in system is the function of the masses of both bodies. Higher the mass of body A, higher will be the acceleration of the system. 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?

The Acceleration in system is the function of the masses of both bodies. Higher the mass of body A, higher will be the acceleration of the system 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 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 Acceleration in System?

The Acceleration in system is the function of the masses of both bodies. Higher the mass of body A, higher will be the acceleration of the system 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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