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Meter Square Second Converter

Convert Meter Square Second to Revolution Square Second and more • 24 conversions

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0

1 0
Conversion Formula
1 = ---
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1 = 1
10 = 10
50 = 50
100 = 100
500 = 500
1000 = 1000

Unit Explanations

Meter Square Secondm²·s

Source Unit

The meter square second (m²·s) is a derived unit of measure in the International System of Units (SI) that quantifies acceleration in terms of area over time squared. It expresses the relationship between the distance traveled and the time taken, squared. Specifically, when considering acceleration, it can be represented in terms of the area (m²) covered by an object per unit of time squared (s²). This unit is particularly useful in physics and engineering to represent the rate of change of velocity, where acceleration is defined as the change in velocity per unit time. In terms of dimensional analysis, it can be broken down into fundamental dimensions of length (L) and time (T), represented as [L²T⁻²].

m²·s = L²·T⁻²

Current Use

Today, the meter square second is utilized across various scientific disciplines, including physics, engineering, and environmental science. In physics, it is often used to calculate acceleration in experiments involving motion, helping to understand the relationship between distance covered and time taken. Engineers apply this unit in designing systems where acceleration is a key factor, such as in automotive and aerospace industries. In environmental science, measuring the rate of spread of pollutants in a medium can also utilize this unit. Countries worldwide, particularly those employing the metric system such as France, Germany, and Japan, use meter square second for standardized measurements. Its application is essential in simulations for predicting the behavior of systems and designing structures that must account for acceleration.

Fun Fact

The meter was initially defined as one ten-millionth of the distance from the equator to the North Pole.

Revolution per Square Secondrev/s²

Target Unit

The revolution per square second (rev/s²) is a derived unit of angular acceleration used to quantify how quickly an object is accelerating in terms of its angular motion. It signifies the change in angular velocity, measured in revolutions per second (rev/s), over a specified time period squared (s²). This unit is particularly useful in fields such as mechanical engineering, robotics, and kinematics, where rotational dynamics are critical. For example, if an object accelerates from 2 revolutions per second to 5 revolutions per second in 1 second, its angular acceleration would be 3 rev/s². The unit reflects both the rotational aspect (revolutions) and the time dependency (square of seconds).

α = Δω / Ī”t

Current Use

Revolution per square second is primarily used in fields involving machinery and dynamics where rotational motion is crucial. Industries such as aerospace, automotive, and robotics apply this unit to describe the performance of rotating components. For instance, in aerospace engineering, the angular acceleration of turbine engines is often measured in rev/s² to ensure optimal performance. In automotive applications, it is used in the design of gear systems and performance analysis of engines. Robotics often utilizes this unit to specify the acceleration of wheels or joints in robotic arms. Countries with advanced engineering sectors, including the United States, Germany, and Japan, frequently employ this measurement in research and development projects. Its application is also seen in motion control systems and simulation of mechanical systems in various engineering software.

Fun Fact

The revolution is a complete turn, meaning a full 360-degree rotation.

Decimals:
Scientific:OFF

Result

0

1
0
Conversion Formula
1 = ...
1→1
10→10
100→100
1000→1000

šŸ“Conversion Formula

= Ɨ 1.00000

How to Convert

To convert to , multiply the value by 1.00000. This conversion factor represents the ratio between these two units.

Quick Examples

1
=
1.000
10
=
10.00
100
=
100.0

šŸ’” Pro Tip: For the reverse conversion ( → ), divide by the conversion factor instead of multiplying.

m²·s

Meter Square Second

acceleration • Non-SI

Definition

The meter square second (m²·s) is a derived unit of measure in the International System of Units (SI) that quantifies acceleration in terms of area over time squared. It expresses the relationship between the distance traveled and the time taken, squared. Specifically, when considering acceleration, it can be represented in terms of the area (m²) covered by an object per unit of time squared (s²). This unit is particularly useful in physics and engineering to represent the rate of change of velocity, where acceleration is defined as the change in velocity per unit time. In terms of dimensional analysis, it can be broken down into fundamental dimensions of length (L) and time (T), represented as [L²T⁻²].

History & Origin

The meter square second unit traces its roots back to the development of the metric system in the late 18th century. The metric system was established in France during the French Revolution as a means to standardize measurements across the nation and subsequently, the world. With the adoption of the meter as a fundamental unit of length, the concept of area was inherently connected to it. As the study of motion and forces advanced, particularly during the 19th and 20th centuries with the work of scientists such as Newton and Einstein, the need to express acceleration in terms of area and time became more pronounced. This led to the formal adoption and understanding of derived units like meter square second in various scientific disciplines.

Etymology: The term 'meter' is derived from the Greek word 'metron', meaning 'measure', while 'square' refers to the mathematical operation of squaring a number, and 'second' is a measure of time.

1795: The meter was officially defin...1960: The SI system was established....

Current Use

Today, the meter square second is utilized across various scientific disciplines, including physics, engineering, and environmental science. In physics, it is often used to calculate acceleration in experiments involving motion, helping to understand the relationship between distance covered and time taken. Engineers apply this unit in designing systems where acceleration is a key factor, such as in automotive and aerospace industries. In environmental science, measuring the rate of spread of pollutants in a medium can also utilize this unit. Countries worldwide, particularly those employing the metric system such as France, Germany, and Japan, use meter square second for standardized measurements. Its application is essential in simulations for predicting the behavior of systems and designing structures that must account for acceleration.

PhysicsEngineeringEnvironmental Science

šŸ’” Fun Facts

  • •The meter was initially defined as one ten-millionth of the distance from the equator to the North Pole.
  • •Acceleration in physics is often misunderstood, yet it is a fundamental concept that describes how quickly an object changes its velocity.
  • •The meter square second is not commonly used in everyday language, but it is crucial in scientific research and engineering.

šŸ“ Real-World Examples

4 m²·s
Acceleration of a car from rest to 20 m/s in 5 seconds.
9.81 m²·s
A ball dropped from a height accelerates at 9.81 m/s².
3 m²·s
A train increases its speed from 30 m/s to 60 m/s in 10 seconds.
25 m²·s
An athlete accelerates from 0 to 10 m/s in 2 seconds.
15 m²·s
A rocket launch achieving an acceleration of 15 m/s².
10 m²·s
A cyclist speeds up from 5 m/s to 15 m/s in 5 seconds.

šŸ”— Related Units

Meter (Base unit of length.)Second (Base unit of time.)Meter per Second (Unit of velocity, derived from m/s.)Meter per Second Square (Unit of acceleration, derived from m/s².)Kilometer per Hour (Unit of speed, often converted to m/s.)Foot (Imperial unit of length related to meter.)
rev/s²

Revolution per Square Second

acceleration • Non-SI

Definition

The revolution per square second (rev/s²) is a derived unit of angular acceleration used to quantify how quickly an object is accelerating in terms of its angular motion. It signifies the change in angular velocity, measured in revolutions per second (rev/s), over a specified time period squared (s²). This unit is particularly useful in fields such as mechanical engineering, robotics, and kinematics, where rotational dynamics are critical. For example, if an object accelerates from 2 revolutions per second to 5 revolutions per second in 1 second, its angular acceleration would be 3 rev/s². The unit reflects both the rotational aspect (revolutions) and the time dependency (square of seconds).

History & Origin

The concept of angular motion dates back to the ancient Greeks, with early studies conducted by philosophers such as Aristotle and Archimedes. However, the formalization of angular acceleration as a measurable unit emerged during the Renaissance, coinciding with advancements in mechanics and the study of motion. The revolution as a unit of angular measurement became more standardized with the development of the mechanical clock and later the introduction of the gyroscope in the 19th century. The need for precise measurements in engineering, particularly in the design of rotating machinery, further solidified the usage of angular measures like the revolution.

Etymology: The term "revolution" derives from the Latin 'revolutio', which means 'a turning over' or 'to roll back', while the 'square second' refers to the second unit of time raised to the power of two, indicating acceleration.

1687: Publication of Newton's 'Philo...1873: Establishment of formal defini...

Current Use

Revolution per square second is primarily used in fields involving machinery and dynamics where rotational motion is crucial. Industries such as aerospace, automotive, and robotics apply this unit to describe the performance of rotating components. For instance, in aerospace engineering, the angular acceleration of turbine engines is often measured in rev/s² to ensure optimal performance. In automotive applications, it is used in the design of gear systems and performance analysis of engines. Robotics often utilizes this unit to specify the acceleration of wheels or joints in robotic arms. Countries with advanced engineering sectors, including the United States, Germany, and Japan, frequently employ this measurement in research and development projects. Its application is also seen in motion control systems and simulation of mechanical systems in various engineering software.

AerospaceAutomotiveRoboticsMechanical Engineering

šŸ’” Fun Facts

  • •The revolution is a complete turn, meaning a full 360-degree rotation.
  • •In one revolution, an object travels a distance equal to the circumference of its circular path.
  • •Gyroscopes use the principle of angular acceleration to maintain orientation.

šŸ“ Real-World Examples

1.5 rev/s²
A rotating disk accelerates from 3 rev/s to 6 rev/s in 2 seconds.
1 rev/s²
A flywheel increases its speed from 1 rev/s to 4 rev/s in 3 seconds.
2 rev/s²
A motor's angular velocity changes from 0 rev/s to 10 rev/s in 5 seconds.
5 rev/s²
A robotic arm's joint accelerates from 5 rev/s to 10 rev/s in 1 second.
2 rev/s²
A turbine's angular velocity increases from 8 rev/s to 12 rev/s in 2 seconds.
5 rev/s²
A wheel accelerates from 15 rev/s to 20 rev/s in 1 second.

šŸ”— Related Units

Radians per Square Second (1 rev/s² = 2Ļ€ rad/s²)Degrees per Square Second (1 rev/s² = 360°/s²)Angular Acceleration (Conceptually similar; expressed in various units.)Revolution per Second (Angular velocity without time component.)Torque (Related through the equation Ļ„ = I * α.)Moment of Inertia (Essential for calculations involving angular acceleration.)

Frequently Asked Questions

How do I convert to ?ā–¼

To convert to , multiply your value by 1. For example, 10 equals 10 .

What is the formula for to conversion?ā–¼

The formula is: = Ɨ 1. This conversion factor is based on international standards.

Is this to converter accurate?ā–¼

Yes! MetricConv uses internationally standardized conversion factors from organizations like NIST and ISO. Our calculations support up to 15 decimal places of precision, making it suitable for scientific, engineering, and everyday calculations.

Can I convert back to ?ā–¼

Absolutely! You can use the swap button (⇄) in the converter above to reverse the conversion direction, or visit our to converter.

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