IB Design Technology Topic B3.3.2 Velocity Ratio Calculations Revision Notes (HL)

IB Design Technology Topic B3.3.2 Velocity Ratio Calculations Revision Notes (HL) | RevisionDojo

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Velocity Ratio: How Much Speed You Give Up

Definition

Velocity Ratio

A measure of how fast one part of a mechanical system moves compared to another, helping designers control speed, torque, and efficiency.

Note

Key formula:

$$\text{Velocity Ratio (VR)} = \frac{\text{Input Speed}}{\text{Output Speed}}$$

Note

Velocity ratio is a dimensionless quantity, meaning it has no units. It simply expresses a relationship between two speeds.

Velocity Ratios in Gear Systems

Gears are used to transmit torque and rotational motion between shafts.
The velocity ratio in a gear system is determined by the number of teeth on the gears.
A large output gear = slower speed, more torque

Note

Formula:

$$\text{VR} = \frac{\text{Number of teeth on output gear}}{\text{Number of teeth on input gear}}$$

Example

Input gear = 20 teeth, Output gear = 40 teeth → VR = 40 / 20 = 2

Tip

When calculating velocity ratios, always identify which gear is driving and which is driven.
This ensures accurate calculations and understanding of the system's behavior.

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Note

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Tip

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Lorem ipsum dolor sit amet, consectetur adipiscing elit.
Sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris.
Duis aute irure dolor in reprehenderit in voluptate velit esse cillum.

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Velocity Ratio: How Much Speed You Give Up

Definition

Velocity Ratio

A measure of how fast one part of a mechanical system moves compared to another, helping designers control speed, torque, and efficiency.

Note

Key formula:

$$\text{Velocity Ratio (VR)} = \frac{\text{Input Speed}}{\text{Output Speed}}$$

Note

Velocity ratio is a dimensionless quantity, meaning it has no units. It simply expresses a relationship between two speeds.

Velocity Ratios in Gear Systems

Gears are used to transmit torque and rotational motion between shafts.
The velocity ratio in a gear system is determined by the number of teeth on the gears.
A large output gear = slower speed, more torque

Note

Formula:

$$\text{VR} = \frac{\text{Number of teeth on output gear}}{\text{Number of teeth on input gear}}$$

Example

Input gear = 20 teeth, Output gear = 40 teeth → VR = 40 / 20 = 2

Tip

When calculating velocity ratios, always identify which gear is driving and which is driven.
This ensures accurate calculations and understanding of the system's behavior.

Definition

Paywall

(on a website) an arrangement whereby access is restricted to users who have paid to subscribe to the site.

anim nostrud sit dolore minim proident quis fugiat velit et eiusmod nulla quis nulla mollit dolor sunt culpa aliqua

Duis aute irure dolor in reprehenderit

Note

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam quis nostrud exercitation.

Excepteur sint occaecat cupidatat non proident

Tip

Lorem ipsum dolor sit amet, consectetur adipiscing elit.
Sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris.
Duis aute irure dolor in reprehenderit in voluptate velit esse cillum.

A. Design in theory8 subtopics

B. Design in practice8 subtopics

C. Design in context8 subtopics

IB Design Technology Topic B3.3.2: Velocity Ratio Calculations Notes

A. Design in theory8 subtopics

B. Design in practice8 subtopics

C. Design in context8 subtopics

Velocity Ratio: How Much Speed You Give Up

Key formula:

Velocity Ratios in Gear Systems

Formula:

anim nostrud sit dolore minim proident quis fugiat velit et eiusmod nulla quis nulla mollit dolor sunt culpa aliqua

Duis aute irure dolor in reprehenderit

Excepteur sint occaecat cupidatat non proident

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Velocity Ratio: How Much Speed You Give Up

Key formula:

Velocity Ratios in Gear Systems

Formula:

anim nostrud sit dolore minim proident quis fugiat velit et eiusmod nulla quis nulla mollit dolor sunt culpa aliqua

Duis aute irure dolor in reprehenderit

Excepteur sint occaecat cupidatat non proident

Unlock the rest of this chapter with a free account