Question
Download Solution PDFIn a simple spur gear drive, the speed of the driver gear having 24 teeth is 800 rpm. Find the speed of the driven gear having 60 teeth.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Velocity ratio:
- The 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.
- The 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 = 24, T2 = 60, N1 = 800 rpm
∵ Velocity ratio: \(\frac{N_1}{N_2}~=~\frac{T_2}{T_1}\)
⇒ \(\frac{800}{N_2}~=~\frac{60}{24}\)
⇒ N2 = 320 rpm = Speed of the driven
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