Rate of Acceleration: Find Unit of Change

In summary, the unit of rate of change of acceleration is represented by "metres per second cubed" or "m/s^3". This is derived from the definition of acceleration as the time rate of change of velocity, which has units of acceleration/time. Therefore, the unit of rate of change of acceleration is a result of the combination of units for acceleration and time.
  • #1
Taba
1
0
if acceleration is defined as rate of change in velocity, then how do you find out the unit of rate of change of acceleration?
 
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  • #2
The time rate of change of acceleration has units of acceleration/time.

If acceleration is in units of m/s/s (m/s^2), the time rate of change of acceleration would have units of m/s/s/s or m/s^3.
 
  • #3
Acceleration: We say "metres per second squared", which is how it's written but what we really mean is "(metres per second) per second" i.e. 'rate of change of velocity'.
So rate of change of acceleration would be "((metres per second) per second) per second" or "metres per second cubed". Take your pick.
 

1. What is rate of acceleration?

Rate of acceleration is the measure of how an object's velocity changes over time. It is the rate at which an object speeds up or slows down.

2. How is rate of acceleration calculated?

Rate of acceleration is calculated by dividing the change in velocity by the time it takes for that change to occur. The formula is: acceleration = (final velocity - initial velocity) / time.

3. What is the unit of measurement for rate of acceleration?

The unit of measurement for rate of acceleration is distance over time squared, such as meters per second squared (m/s^2) or feet per second squared (ft/s^2).

4. How is rate of acceleration different from velocity?

Velocity is the measure of an object's speed and direction, while rate of acceleration is the measure of how that velocity changes over time. Velocity does not take into account the change in speed, while rate of acceleration does.

5. What are some real-life examples of rate of acceleration?

Some real-life examples of rate of acceleration include a car accelerating from a stop sign, a roller coaster accelerating down a drop, and a rocket launching into space.

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