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The Maximum Efficiency of Screw Jack is
By BYJU'S Exam Prep
Updated on: September 25th, 2023
The maximum efficiency of screw jack is
- η = (1 + SinΦ)/(1-SinΦ)
- η = (1 – SinΦ)/(1+ SinΦ)
- η = (1 + tanΦ)/(1- tanΦ)
- η = (1 – tanΦ)/(1+ tanΦ)
Answer: B : η = (1 – SinΦ)/(1+ SinΦ)
The maximum efficiency of the screw jack is: η = (1 – SinΦ)/(1+ SinΦ).
Solution:
The efficiency of a screw jack is given as,
η = tanα / tan (α+Φ) ———– 1
For maximum efficiency, dα/dΦ =0
Helix angle for which the screw jack efficiency will be maximum,
α = 45 – Φ/2
On putting the above value of helix angle in equation 1,
The maximum efficiency of the screw jack is ηmax = (1 – SinΦ)/(1+ SinΦ)
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