Velocity ratio is also called ............ ratio

Options

A. wonderful
B. design
C. displacement
D. pure

Explanation

To solve the question "Velocity ratio is also called ............ ratio", we can follow these steps:

### Step 1: Understand the Definition of Velocity Ratio
The velocity ratio (VR) is defined as the ratio of the velocity of effort to the velocity of load. Mathematically, it can be expressed as:
\[ \text{Velocity Ratio (VR)} = \frac{\text{Velocity of Effort}}{\text{Velocity of Load}} \]

### Step 2: Relate Velocity to Displacement
Velocity can also be expressed in terms of displacement over time. Therefore, we can rewrite the velocities as:
- Velocity of Effort = \(\frac{\text{Displacement of Effort}}{\text{Time}}\)
- Velocity of Load = \(\frac{\text{Displacement of Load}}{\text{Time}}\)

### Step 3: Substitute into the Velocity Ratio Formula
Substituting these expressions into the velocity ratio gives us:
\[ \text{VR} = \frac{\frac{\text{Displacement of Effort}}{\text{Time}}}{\frac{\text{Displacement of Load}}{\text{Time}}} \]

### Step 4: Simplify the Expression
Since the time in both the numerator and denominator cancels out, we are left with:
\[ \text{VR} = \frac{\text{Displacement of Effort}}{\text{Displacement of Load}} \]

### Step 5: Identify the Name of the Ratio
The ratio \(\frac{\text{Displacement of Effort}}{\text{Displacement of Load}}\) is commonly referred to as the "displacement ratio".

### Conclusion
Thus, we conclude that the velocity ratio is also called the displacement ratio.

### Final Answer
Velocity ratio is also called **displacement ratio**.

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