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Speed isn't only about numbers; it's a change in movement itself. Like other measurable quantity speed also has its advantages. So, join us on the journey to uncover the hidden art of measuring speed.
Further in this article, we will learn about the statement, formula, its dimensional formula, various types, measurement of speed, various instruments for measurement of speed, velocity, and difference between velocity and speed. Additionally, there will be a few practice problems for better understanding and clarification.
Speed is a fundamental concept in physics, and is given by,
The rate of change of an object in any direction.
Speed is a scalar quantity; hence no direction only magnitude is present.
Speed has only magnitude, its the rate of motion without any direction. It's a scalar quantity. It is measured in units like meters per second (m/s) or kilometers per hour (km/h).
The formula of speed is given by,
Speed = D/T
where,
Its units is given by,
As we know spped is given by distance divided by time its dimensional formula is given as,
Dimensional Formula of Speed = [M0L1T-1]
Different types of speed are:
Let's learn about them in brief.
Constant rate of motion without any change in velocity.
vuniform = Total Distance/Total Time
For example: A car cruzing at 80 kmph on a highway.
Motion of an object that changes pace or rate over time.
vvariable = Change in Distance/Change in Time
For example: A car moving from point A to B cruzing and taking multiple stops.
The total distance traveled divided by the total time taken.
vavg = Total Distance/Total Time
For example, speed of car in moving form point A to B.
The speed of an object at a particular moment in time.
v = limΔt→0 Δd/Δt
For example, speed of accelerating car.
The speed of an object observed from another moving object.
vrelative = v1 ∓ v2
(plus when moving in same direction, minus when moving in opposite direction)
For example, spped of car with respect to a moving bicyle.
Speed is rate of change of any object, not just movement. There are various speed measuring devices which calculate different aspect of speed for instance Speedometers measure vehicle speed, odometers track distance, and graphs illustrate motion. However, speed's definition varies based on context.
For example, in melting ice, it's the rate of transformation, not motion. Similarly, a 'slow' laptop refers to processing efficiency, not physical speed.
Speed of light, denoted by "c," which is approximately 299,792,458 meter/second, it serves as the limit for energy, matter, and information transmission in space.
Ole Romer's 1676 observations of Jupiter's moon marked as the first indication of light speed. Then Albert Einstein's 1905 theory of relativity made c as a universal constant.
Sound's speed, is the distance a sound wave travels per unit time. At 20℃, sound travels at around 343 meter/second in air. The speed varies with the medium, being slowest in gases, faster in liquids, and fastest in solids.
The speed of sound, plays a vital part in fields like meteorology, affecting weather forecasting and various applications.
Wind speed measures the movement of air from low to high pressure zones. Anemometers, instruments designed for this purpose, which quantify wind speed. Wind speed impacts all the aspects of nature by affecting weather forecasting, aviation, maritime operations, and ultimately influencing plant biology. Understanding wind speed is very important for the advancement of applications and better prediction atmospheric conditions.
Various instruments used to measure the spped are,
Speedometer: A speedometer is a device which measures the vehicle speed in kilometers per hour or miles per hour.
Tachometer: A tachometer is a device which measure the working speed of an engine in revolutions per minute(RPM).
Accelerometer: An accelerometer is a device which measure the acceleration of a moving body.
Velocity is defined as,
The rate at which an object's position changes with respect to time in specific direction is called velocity
Velocity is a vector quantity hence both direction and magnitude is present.
Formula of velocity is given by,
Velocity = Change in Displacement/Change in Time
The general differnce between speed and velocity is added in the table below as,
Speed Vs Velocity | ||
|---|---|---|
Characteristic | Speed | Velocity |
Definition | Distance traveled by an object over time. | Change in distance in a specific direction over time. |
Quantity Type | Scalar quantity | Vector quantity |
Example | 60 km/hour | 60 km/hour East |
Real-life Scenario | Running on a treadmill at constant speed. | Driving a car with changes in speed and direction. |
By understanding the speed of an object, from its definitions to various types, it become important in understanding the motion of objects. Whether knowing the instantaneous speed of an object or calculating the overall distance of a journey, speed helps us. And helps us in our understanding the concept of velocity and motion.
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Some examples on measurement of speed are,
Example 1. A car travels a distance of 150 kilometers in 2.5 hours. Calculate its average speed.
Solution:
Average Speed =Total Distance/Total Time
Average Speed = 150 km / 2.5 hours
Average Speed = 60 km/hour
Example 2. An athlete runs a 100-meter race in 10 seconds. Determine the athlete's speed.
Solution:
Speed = Time/Distance
Speed = 100 meters / 10 seconds
Speed = 10m/s
Example 3. A sprinter accelerates from rest to a speed of 8 m/s in 4 seconds. Calculate the sprinter's acceleration.
Solution:
Acceleration = Change in Velocity / Time
Acceleration = (8 m/s − 0) / 4 s
Acceleration = 2m/s2