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From the Rolls-Royce experimental archive: a quarter of a million communications from Rolls-Royce, 1906 to 1960's. Documents from the Sir Henry Royce Memorial Foundation (SHRMF).
Calculation of climbing capabilities for the 40/50 HP and 20 HP engines.

Identifier  WestWitteringFiles\K\June1923\  Scan82
Date  16th April 1923
  
CLIMBING CAPABILITIES - 40/50 HP. & 20 HP.

Let d = dia. of cyl. (ins.)
" S = stroke (ins.)
" ηP = mean effective pressure (lbs. per sq. in.)
" T = torque (ins.lbs.)

Then in a 6-cyl. 4 cycle engine, work done per revolution:-
( (π d² / 4) ηP S ) 3 ins.lbs.

Also T X 2π = Work done per rev.
T X 2π = ( (π d² / 4) ηP S ) 3
T = ( (d² / 8) ηP S ) 3 lbs.ins.

Taking the M.E.P's at the road wheels (Figs. 16th. Apr. /23) to allow for transmission losses, and substituting the following figs. in the formula we get :-

40/50 HP. 20 HP.
d = 4½" d = 3"
S = 4½" S = 4½"
ηP = 69 lbs. per sq. in. ηP = 76 lbs. per sq. in.

Max. engine torque allowing for transmission and rear tyre losses :-

40/50 HP. 20 HP.
2488 lbs.ins. 1154.2 lbs.ins.

Let R be gear ratio.
" D be effective tyre dia. (ins.)
" W be weight of car in tons.

The tractive effort in lbs. per ton at the tyre :-
(R T / (D/2 W)) or (2 R T / W D)

Substituting following values :-

40/50 HP. 20 HP.
W = 2.75 tons. W = 1.95
D = 33". D = 31.4"
T = 2488"lbs. T = 1154.2 ins.lbs. contd:-
  
  


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