Acceleration of Bodies Calculator

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Types of Motion

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Motion in Bodies Connected by Strings

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Body Passing Over Smooth Pulley

Body Lying on Rough Inclined Plane

Body Lying on Smooth Inclined Plane

✖Mass of Body A is the measure of the quantity of matter that a body or an object contains.ⓘ Mass of Body A [m_a]			+10% -10%
✖Mass of Body B is the measure of the quantity of matter that a body or an object contains.ⓘ Mass of Body B [m_b]			+10% -10%

✖Acceleration of Bodies in Motion is the rate of change in velocity to the change in time.ⓘ Acceleration of Bodies [a_bs]

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Formula

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Acceleration of Bodies

Formula

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

Example

`"9.086002m/s²"=("29.1kg"-"1.11kg")/("29.1kg"+"1.11kg")*"[g]"`

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Acceleration of Bodies Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acceleration of Bodies = (Mass of Body A-Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]
a_bs = (m_a-m_b)/(m_a+m_b)*[g]
This formula uses 1 Constants, 3 Variables

Constants Used

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

Variables Used

Acceleration of Bodies - (Measured in Meter per Square Second) - Acceleration of Bodies in Motion is the rate of change in velocity to the change in time.
Mass of Body A - (Measured in Kilogram) - Mass of Body A is the measure of the quantity of matter that a body or an object contains.
Mass of Body B - (Measured in Kilogram) - Mass of Body B 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 Body A: 29.1 Kilogram --> 29.1 Kilogram No Conversion Required
Mass of Body B: 1.11 Kilogram --> 1.11 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_bs = (m_a-m_b)/(m_a+m_b)*[g] --> (29.1-1.11)/(29.1+1.11)*[g]

Evaluating ... ...

a_bs = 9.08600243296921

STEP 3: Convert Result to Output's Unit

9.08600243296921 Meter per Square Second --> No Conversion Required

FINAL ANSWER

9.08600243296921 ≈ 9.086002 Meter per Square Second <-- Acceleration of Bodies

(Calculation completed in 00.004 seconds)

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Home » Physics » Mechanics » Types of Motion » Motion in Bodies Connected by Strings » Body Passing Over Smooth Pulley » Acceleration of Bodies

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

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

< 3 Body Passing Over Smooth Pulley Calculators

Tension in String if Both Bodies are Freely Hanging

Go Tension in Hanging String = (2*Mass of Body A*Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]

Acceleration of Bodies

Go Acceleration of Bodies = (Mass of Body A-Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]

Mass of Body B of Smaller Mass

Go Mass of Body B = Tension of String/(Acceleration of Body in Motion+[g])

Acceleration of Bodies Formula

Acceleration of Bodies = (Mass of Body A-Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]
a_bs = (m_a-m_b)/(m_a+m_b)*[g]

What are pulleys used for?

A pulley is a wheel with a groove along its edge, that holds a rope or cable. Usually, two or more pulleys are used together. When pulleys are used together in this way, they reduce the amount of force needed to lift a load. A crane uses pulleys to help it lift heavy loads.

How to Calculate Acceleration of Bodies?

Acceleration of Bodies calculator uses Acceleration of Bodies = (Mass of Body A-Mass of Body B)/(Mass of Body A+Mass of Body B)*[g] to calculate the Acceleration of Bodies, The Acceleration of bodies is a function of the masses of both bodies. Heavier the body A, more will be the acceleration. Acceleration of Bodies is denoted by a_bs symbol.

How to calculate Acceleration of Bodies using this online calculator? To use this online calculator for Acceleration of Bodies, enter Mass of Body A (m_a) & Mass of Body B (m_b) and hit the calculate button. Here is how the Acceleration of Bodies calculation can be explained with given input values -> 9.086002 = (29.1-1.11)/(29.1+1.11)*[g].

FAQ

What is Acceleration of Bodies?

The Acceleration of bodies is a function of the masses of both bodies. Heavier the body A, more will be the acceleration and is represented as a_bs = (m_a-m_b)/(m_a+m_b)*[g] or Acceleration of Bodies = (Mass of Body A-Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]. Mass of Body A is the measure of the quantity of matter that a body or an object contains & Mass of Body B is the measure of the quantity of matter that a body or an object contains.

How to calculate Acceleration of Bodies?

The Acceleration of bodies is a function of the masses of both bodies. Heavier the body A, more will be the acceleration is calculated using Acceleration of Bodies = (Mass of Body A-Mass of Body B)/(Mass of Body A+Mass of Body B)*[g]. To calculate Acceleration of Bodies, you need Mass of Body A (m_a) & Mass of Body B (m_b). With our tool, you need to enter the respective value for Mass of Body A & Mass of Body B 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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