What is Velocity Ratio formula of a machine?

What is Velocity Ratio formula of a machine?
What is Velocity Ratio formula of a machine?

What is Velocity Ratio formula of a machine?

Velocity Ratio of a machine is a topic in a subject or course called Physics, Velocity ratio is among the topic that you must encounter in physics starting from S S 1,2 or 3. So lets begins so that you can know what Velocity Ratio of a machine is all about.

What is Velocity Ratio in Physics

Above diagram is saying that pedals of a bicycle is a simple machine, why? Because if you apply a small effort on the pedals to move the wheels, which move a very long distance. So the pedals of a bicycle in this case is a simple machine.

Now you know that simple machine have many advantages, but if I ask you how much distance the machine moves in doing the work?

In the term of Physics this can be defined as a Velocity Ratio.

                             Velocity of Effort

Velocity Ratio = ——————–

                              Velocity of Load

What is Velocity Ratio formula of a machine?

What is Velocity Ratio?

Velocity Ratio of a machine can be defined as the ratio of the Velocity of Effort / Velocity of Load. In simple thought this can be defined as how much the Effort moves in doing the work and how much the machine move the Load in doing the work.

 

So let us see in details what exactly is Velocity Ratio.

                    Displacement

Velocity = ——————

                         Time

dE is the distance moved by the Effort at time (t).

dL is the distance moved by the Load at time (t).

Velocity Ratio Example

MA formula

So as you can see in this diagram above, the man is giving Effort on the bar to lift up a Load, so in this case the distance move by Effort will be dE, while the distance move by Load will be dL.

Formula for Velocity Ratio of a machine

                                  dE

Velocity of Effort = —-

                                     t

                                 dL

Velocity of Load = —-

                                    t 

                             Velocity of Effort

Velocity Ratio = ——————–

                              Velocity of Load

Velocity of Effort can be retonous as dE/t and Velocity of Load can be similarly retonous as dL/t.

 dE             dL

—-            —-

  t                 t

Now tell me what will be the Velocity Ratio of Effort by the Velocity of Load, so these are the up to dues storms of this formula.

It can be retonous:

(dE/t) which is Velocity of Effort.

(dL/t) which is Velocity of Load.

   dE          dL      dE

——- / —— = —–

      t             t        dL

Like this, so expression to get council the t you will get dE/dL.

                            Velocity of Effort

Velocity Ratio = ——————–

                              Velocity of Load

So Velocity Ratio can be rotenous as displacement of Effort which is dE divided by the displacement of Load which is dL. Both the toms are displacement, so it does not have any unit. Because you know same factors in denominator and dinominator will get councils.

              displacement of effort(dE)

(V.R) = ——————————–

               displacement of load(dL)

There can be three (3) conditions for velocity ratio:

1. Where the displacement of effort dE can be greater than displacement of load dL (dE>dL). So in this case velocity ratio V.R would be also greater than one (V.R>1).

dE > dL 

                                  ⬇

V.R > 1

2. There might be time where displacement of effort dE is equal to displacement of load dL (dE=dL). In this case the velocity ratio V.R would be equal to one (V.R=1).

dE = dL

V.R = 1

3. It might be also that displacement of effort dE is less than displacement of load dL (dE<dL). So in that case have it in mind that the velocity ratio V.R would be less than one (V.R<1).

Now let’s see some examples that will prove these facts.

This is example of a plier with is used to cut metal items. The effort is applied on both the handle of the plier, and it moves a longer distance. Let assume that you apply your effort in the handle, then the mouth and the load will move a very small distance as seen in above diagram.

So the displacement of effort dE is greater than one (dE>1), like you learn previously that in such cases the velocity ratio V.R is greater than one (V.R>1).

So in the case that effort applied moves a longer distance than the loa, so this type of machine in which the velocity ratio V.R greater than one (V.R>1) is called Force Multiplier,

Why is it called Force Multiplier?

It is called force multiplier because the effort you are applying is lesser than the load which is been overcome, the effort is moving a longer distance but the effort have a force lesser than the load. So these types of machines are known as Force Multiplier, when the effort moves lesser to overcome the load.

 

Now see this scissor, can you identify the load or the effort? Well no because the load and the effort might be equal, also the distance move by the effort. As seen in above diagram, the distance move by effort is equal to the distance move by load.

So in these cases the distance move by the effort is equal to distance move by load. So the velocity ratio (V.R) would be equal to one (V.R=1).

So machine like this is called Simple Scissor. The effort applied are the same as the much the load moves, that is distance moved by effort is equal to distance moved by load. Therefore in a simple scissor one person can balance the other person because the distance moved by both sides are equal.

Now see this scissors, this type of scissors is also a simple machine. Therefore if you apply effort on the handles of the scissors, I mean like if you apply small effort on both the handles, the load will move a longer distance, e.g like when cutting a paper or clothes as shown in above diagram.

In this case a machine like this, the load move a larger distance than the effort. So the distance moved by load is greater than distance moved by effort, therefore the velocity ratio (V.R) dE/dL, so the velocity ratio (V.R) of this type of machine is less than one (V.R<1).

What are we doing? We are moving the load a longer distance by moving the effort for a smaller distance. So these types machines are known as distance multiplier. Here the load move a greater distance than the effort.

Mechanical advantage which is not constant for a practical machine, the velocity ratio (V.R) for any machine of any particular design is always constant because it considers only the displacement of the effort (dE) and the displacement of the load (dL).

Therefore the velocity ratio (V.R) of a machine of any particular design is always constant.

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