Question
Download Solution PDFDriving gear has 20 teeth and it rotates with 100 rpm. Calculate the driven gear speed having 40 teeth.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Velocity ratio:
- Velocity ratio of gears is also called the gear ratio. Gears are counted by their teeth.
- The ratio of the number of teeth on the follower to the number of teeth on the driver is called as gear ratio or its velocity ratio.
- Velocity ratio of the gear train is the ratio of the speed of the driver to the speed of the follower or driven.
Velocity ratio: \(\frac{N_1}{N_2}~=~\frac{T_2}{T_1}\)
Where, N1 = Speed of the driver, N2 = Speed of the driven, T1 = Gear teeth on driver, T2 = Gear teeth on driven
Calculation:
Given:
T1 = 20, T2 = 40, N1 = 100 rpm
∵ Velocity ratio: \(\frac{N_1}{N_2}~=~\frac{T_2}{T_1}\)
⇒ \(\frac{100}{N_2}~=~\frac{40}{20}\)
⇒ N2 = 50 rpm = Speed of the driven
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