Acceleration of Bodies 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%
✖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 Bodies is the rate of change of velocity of objects connected by strings, describing their motion under tension forces.ⓘ Acceleration of Bodies [a_bs]

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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 is the rate of change of velocity of objects connected by strings, describing their motion under tension forces.
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.
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.

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 » Mechanical » Body Passing Over Smooth Pulley » Acceleration of Bodies

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Created by Vinay Mishra

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

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Verified by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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< Body Passing Over Smooth Pulley Calculators

Tension in String if Both Bodies are Freely Hanging

LaTeX 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

LaTeX 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

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

Acceleration of Bodies Formula

LaTeX Go

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, Acceleration of Bodies formula is defined as a measure of the rate of change of velocity of an object, describing the force that causes an object to change its motion, and is a fundamental concept in understanding the laws of motion and gravity. 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?

Acceleration of Bodies formula is defined as a measure of the rate of change of velocity of an object, describing the force that causes an object to change its motion, and is a fundamental concept in understanding the laws of motion and gravity 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 amount of matter in an object, a measure of its resistance to changes in its motion & Mass of Body B is the quantity of matter in an object connected to another body through a string or cord.

How to calculate Acceleration of Bodies?

Acceleration of Bodies formula is defined as a measure of the rate of change of velocity of an object, describing the force that causes an object to change its motion, and is a fundamental concept in understanding the laws of motion and gravity 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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