The Maximum Efficiency of Screw Jack is

By Mohit Uniyal|Updated : July 18th, 2022

The maximum efficiency of screw jack is

  1. η = (1 + SinΦ)/(1-SinΦ)
  2. η = (1 - SinΦ)/(1+ SinΦ)
  3. η = (1 + tanΦ)/(1- tanΦ)
  4. 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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