Topic Content:
- The Relationship Between the Gear Ratio and the Speed Ratio
- Simple Calculations Involving Gear Ratio
The Relationship Between the Gear Ratio and the Speed Ratio:
When solving problems involving gears, it is important to name all the parameters correctly.
- Number of Teeth on Driver Gear = ND
- Number of Teeth on driven Gear = Nd
- Speed of Rotation for Driver Gear = SD (rev/min)
- Speed of Rotation for driven Gear = Sd (rev/min)
Gear Ratio (GR) = \( \frac{N_D}{N_d} \)
i.e. \( \normalsize \frac{Number \: of \:Teeth \:on\:Driver\: Gear \:(N_D)}{Number\: of \:Teeth\: on \:driven\:Gear \:(N_d)} \)
For example, with 10 teeth on the Driver gear (ND) and 20 teeth on the driven gear (Nd)
The Gear Ratio (GR) = \( \frac{10}{20} \\ \scriptsize = 1\: :\: 2 \: or \: 0.5 \)
The Speed Ratio (SR) is the ratio of the driven gear speed to the Driver gear speed
\(\scriptsize Speed \: Ratio \: (SR) = \normalsize \frac{Rotation \: per \:minute \:for\:driven\: Gear \:(S_d)}{Rotation \: per \:minute \:for\:Driver\: Gear \:(S_D)}\)Note: It is important to note that the Gear Ratio (GR), determines the speed of the driven gear (Sd).
You are viewing an excerpt of this Topic. Subscribe Now to get Full Access to ALL this Subject's Topics and Quizzes for this Term!
Click on the button "Subscribe Now" below for Full Access!
Subscribe Now
Note: If you have Already Subscribed and you are seeing this message, it means you are logged out. Please Log In using the Login Button Below to Carry on Studying!
Responses