Question
Download Solution PDFTwo mating spur gears have 25 teeth and 75 teeth. The pinion rotates at 1260 rpm. What is the rotational speed of gear?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The power transmitted from pinion = The power gain by gear
Therefore, \({{\rm{T}}_{{\rm{P\;}}}}{{\rm{\omega }}_{\rm{P}}} = {\rm{\;}}{{\rm{T}}_{{\rm{G\;}}}}{{\rm{\omega }}_{\rm{G}}}\)
Calculation:
Given:
No. of teeth on the pinion, ZP = 25, No. of teeth on the gear, ZG = 75, Rotational speed of pinion, NP = 1260 rpm, Rotational speed of gear, NZ = ?
As we know,
\(\frac{{{{\rm{N}}_{\rm{P}}}}}{{{{\rm{N}}_{\rm{G}}}}} = {\rm{\;}}\frac{{{{\rm{Z}}_{\rm{G}}}}}{{{{\rm{Z}}_{\rm{P}}}}}\)
\({{\rm{N}}_{\rm{G}}} = {\rm{\;}}\frac{{{{\rm{Z}}_{\rm{P}}}}}{{{{\rm{Z}}_{\rm{G}}}}}{\rm{\;}} \times {{\rm{N}}_{\rm{P}}}\)
\({{\rm{N}}_{\rm{G}}} = {\rm{\;}}\frac{{25}}{{75}}{\rm{\;}} \times 1260 = 420{\rm{\;rpm}}\)
Last updated on Mar 27, 2025
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