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Kasturi Talukdar

Updated on 10th June, 2023 , 8 min read

What is the SI Unit and CGS Unit of Acceleration

SI Unit of Acceleration Overview 

Acceleration is a fundamental physical quantity that is used to measure the rate of change of velocity in a given direction. It is an important concept in physics and engineering and is used to calculate the speed and direction of objects in motion. As such, it is necessary to have an accurate unit for measuring acceleration. This is where the SI unit of Accelerationacceleration comes in. In this article, we will unpack the SI Unit of Acceleration, including its definition, different types of acceleration, examples of SI acceleration units, how to calculate acceleration using the SI unit, the SI Unit of Acceleration conversion, applications of the SI Unit of Acceleration, advantages and disadvantages of using the SI Unit of Acceleration, and common misunderstandings about the SI Unit of Acceleration.

What is Acceleration?

Acceleration is the rate at which an object changes its velocity. It is typically measured in meters per second squared (m/s^2). An object that is accelerating is either speeding up or slowing down, and the magnitude of the acceleration is equal to the rate of change of velocity.

What is SI Unit of Acceleration?

The SI unit of acceleration is defined as the rate of change of velocity in a given direction. It is a physical quantity that is measured in terms of meters per second squared (m/s²). It is important to understand that the SI unit of acceleration is not the same as the SI unit of speed, which is the meter per second (m/s). The SI unit of acceleration is used to measure the rate at which an object's velocity changes in a given direction.

The SI unit of acceleration can be used to calculate the speed and direction of an object in motion. It is also used to determine the rate at which an object's speed increases or decreases in a given direction. For example, if an object is moving at a constant speed of 5 m/s and then increases its speed to 10 m/s, the SI Unit of Acceleration can be used to calculate the rate at which the object has increased its speed.

Examples of SI Acceleration Units

As mentioned earlier, the SI unit of acceleration is the meter per second squared (m/s²). Other units of SI acceleration units include the kilometer per hour squared (km/h²), the foot per second squared (ft/s²), and the yard per second squared (yd/s²). These units are used to measure the rate at which an object's velocity changes in a given direction.

For example, If an object is moving at a constant speed of 5 m/s and then increases its speed to 10 m/s, the SI Unit of Acceleration can be used to calculate the rate at which the object has increased its speed. In this case, the SI unit of acceleration would be 5 m/s².

Types of Acceleration

There are two types of acceleration: linear and angular.

  1. Linear acceleration is the rate at which an object's velocity changes in a straight line. It is measured in meters per second squared (m/s²).
  2. Angular acceleration, on the other hand, is the rate at which an object's angular velocity changes. It is measured in radians per second squared (rad/s²).
  3. Linear acceleration is the most common type of acceleration, and it is used to calculate the speed and direction of objects in motion.
  4. Angular acceleration is used to calculate the rate at which an object's angular velocity changes.

How to Calculate Acceleration Using the SI Unit?

The SI unit of acceleration can be used to calculate the speed and direction of an object in motion. To calculate the acceleration of an object, you will need to know the following information: the initial velocity of the object, the final velocity of the object, and the time it took for the object to change its velocity.

Once you have this information, you can use the formula for acceleration to calculate the acceleration of the object:

(final velocity - initial velocity) / time = acceleration

For example, if an object is moving at a constant speed of 5 m/s and then increases its speed to 10 m/s in 2 seconds, the acceleration of the object can be calculated as follows:

(10 m/s - 5 m/s) / 2 s = acceleration

5 m/s2 acceleration

SI Unit of Acceleration Conversion

The SI Unit of Acceleration can be converted to other units of acceleration, such as the kilometer per hour squared (km/h²), the foot per second squared (ft/s²), and the yard per second squared (yd/s²). To convert from one unit to another, you will need to use a conversion calculator.

For example, if you want to convert 5 m/s² to km/h², you will need to enter the value 5 m/s² into the conversion calculator and select the units you want to convert to (in this case, km/h²). The calculator will then display the converted value, which in this case would be 18 km/h².

How to Calculate Acceleration Using the SI Unit in Different Applications?

The SI Unit of Acceleration can be used to calculate the acceleration of objects in different applications. For example, it can be used to calculate the acceleration of a car when it accelerates from 0 to 60 mph in a given time. It can also be used to determine the acceleration of a roller coaster as it moves from one point to another in a given amount of time.

In addition, the SI unit of acceleration can be used to calculate the acceleration of a rocket when it launches from the ground. It can also be used to calculate the acceleration of an airplane when it takes off from the runway. 

Read More About- SI Unit of Resistance and Orbital Velocity Formula.

Advantages and Disadvantages of Using the SI Unit of Acceleration

Advantage

Disadvantage

It is a universal unit that is recognized by scientists and engineers all over the world. 

It is not as accurate as other units of acceleration, such as the foot per second squared (ft/s²) or the yard per second squared (yd/s²).

It is easy to calculate acceleration using the SI unit. 

It can be difficult to convert from one unit to another. 

It can be used to calculate the acceleration of objects in different applications.

It is not as precise as other units of acceleration.

Common Misunderstandings About the SI Unit of Acceleration

One of the most common misunderstandings about the SI unit of acceleration is that it is the same as the SI unit for speed, which is the meter per second (m/s). However, this is not true. The SI Unit of Acceleration is used to measure the rate at which an object's velocity changes in a given direction, whereas the SI Unit of Speed is used to measure the speed of an object in a given direction.

Another misunderstanding about the SI unit of acceleration is that it is the only unit that can be used to measure acceleration. This is also not true. There are other units of acceleration, such as the foot per second squared (ft/s²) and the yard per second squared (yd/s²), that can be used to measure acceleration.

Read more about the Relation Between G and g.

Other Units of Acceleration

The unit of acceleration due to gravity is commonly used and represented by "g" in Roman letters. It's important for students to understand that this is not the same as the natural phenomenon of acceleration due to gravity, which is represented by "g" in italic letters. The term "g-force" is often used to describe a change in velocity, but the "g" here refers to acceleration and not force. Other units used to measure acceleration include foot per second squared, Galileo, orders of magnitude, standard gravity, and plank acceleration.

Previous Year Questions

State the SI unit of acceleration and give its definition. (CBSE 2019)

Answer:The SI unit of acceleration is meters per second squared (m/s²), and it is defined as the rate of change of velocity with respect to time.

What is the SI unit of acceleration? (ICSE 2019)

Answer: The SI unit of acceleration is meters per second squared (m/s²).

A car is moving with a velocity of 20 m/s, and it comes to a stop in 4 seconds. Calculate its acceleration. (CBSE 2018)

Answer:Using the formula a = (v-u)/t, where v is the final velocity, u is the initial velocity, and t is the time taken, the acceleration of the car can be calculated as: a = (0-20)/4 = -5 m/s² (negative sign indicates a decrease in velocity).

A ball is thrown upward with an initial velocity of 10 m/s. If it takes 2 seconds to reach its maximum height, calculate its acceleration. (ICSE 2018)

Answer:Since the ball is thrown upwards, its acceleration is due to gravity and is equal to -9.8 m/s² (negative sign indicates a decrease in velocity due to gravity).

An object is thrown horizontally with a velocity of 20 m/s. If it travels 100 meters before coming to a stop, calculate its acceleration. (CBSE 2017)

Answer:Since the object is only affected by horizontal motion, its acceleration is 0 m/s².

A ball is thrown vertically upward with an initial velocity of 20 m/s. Calculate its acceleration at the highest point of its trajectory. (ICSE 2017)

Answer: At the highest point of its trajectory, the ball's velocity is 0 m/s, and its acceleration is equal to -9.8 m/s² (due to gravity).

A train starting from rest attains a velocity of 36 km/h in 10 seconds. Calculate its acceleration in SI units. (CBSE 2016)

Answer:First, the velocity of the train must be converted to SI units: 36 km/h = (36*1000)/3600 m/s = 10 m/s. Then, using the formula a = (v-u)/t, where v is the final velocity, u is the initial velocity, and t is the time taken, the acceleration of the train can be calculated as: a = (10-0)/10 = 1 m/s².

Conclusion

In conclusion, the SI unit of acceleration is an important physical quantity that is used to measure the rate at which an object's velocity changes in a given direction. It is derived from the base units of the International System of Units (SI), which are the meter (m) and the second (s). It is used to calculate the speed and direction of objects in motion, and it can be used to calculate the acceleration of objects in different applications. The SI unit of acceleration is also used to calculate the rate at which an object's speed increases or decreases in a given direction. It can be converted to other units of acceleration, such as the per hour squared (km/h²), the foot per second squared (ft/s²), and the yard per second squared (yd/s²). However, it is important to understand that the SI unit of acceleration is not the same as the SI unit for speed, and it is not the only unit that can be used to measure acceleration.

Understanding the SI unit of acceleration is important for anyone who wants to calculate the acceleration of objects in motion. It is a useful tool for scientists and engineers who need to accurately measure the rate at which an object's velocity changes in a given direction.

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Frequently Asked Questions

The pace at which a body’s motion changes is referred to as acceleration. In other terms, acceleration refers to the rate of change in a moving object’s speed and direction with regard to time.

Linear acceleration and circular acceleration are the main types of acceleration.

The SI unit of acceleration is the meter per second squared.

: a In physics or physical science, acceleration (symbol: a) is defined as the rate of change (or derivative with respect to time) of velocity.

Acceleration is the rate of change of velocity.

The SI unit of acceleration is ms−1.

The ones mostly used are : Metres per second squared, Kilometres per hour per second, Feet per second squared, Miles per hour per second.

The rate of change of velocity is called acceleration. CGS unit of acceleration is c m s 2 . SI unit of acceleration is m s 2 .

Acceleration, time, speed, velocity, distance and displacement are the terms that can be used to describe motion.

Speed can be considered as the rate at which a body covers distance.

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