Single purchase Crab Winch
In a single purchase crab which, a rope is fixed to the drum and is wound a few turns round it. The free and of the rope carries the load W. A toothed wheel A is rigidly mounted on the load drum. Another toothed wheel B, called pinion, is geared with the toothed wheel A as shown in Figure.
Let T1 = No. of teeth on the main gear (or spur wheel) A,
T2 = No. of teeth on the pinion B,
I = Length of the handle
r = Radius of the load drum
W = Load lifted, and
P = Effort applied to lift the load at the end of the handle.
In one revolution of the handle, distance moved by the effort
= 2π l
Number of revolutions made by the pinion B
1
and number of revolutions made by the wheel A
= T2 / T1
Number of revolutions made by the load drum
= T2 / T1
And distance moved by the load
Now M.A. = W / P
and efficiency,
η= M.A. / V.R.