Physical unit
Unit name
foot-pound
Unit symbol
f
t
⋅
l
b
{\ displaystyle \ mathrm {ft \ cdot lb}}
Physical quantity (s)
energy
Formula symbol
W.
E.
{\ displaystyle W \, E}
dimension
M.
L.
2
T
-
2
{\ displaystyle {\ mathsf {M \; L ^ {2} \; T ^ {- 2}}}}
system
Anglo-American system of measurement
In SI units
1
f
t
⋅
l
b
≈
1.355
817
948
J
{\ displaystyle \ mathrm {1 \, ft \ cdot lb \; \ approx \; 1 {,} 355 \, 817 \, 948 \; J}}
In CGS units
1
f
t
⋅
l
b
≈
13
558
179
,
48
e
r
G
{\ displaystyle \ mathrm {1 \, ft \ cdot lb \; \ approx \; 13 \, 558 \, 179 {,} 48 \; erg}}
Derived from
Foot , pound
Physical unit
Unit name
Pound-foot
Unit symbol
f
t
⋅
l
b
{\ displaystyle \ mathrm {ft \ cdot lb}}
Physical quantity (s)
Torque
Formula symbol
M.
{\ displaystyle M}
dimension
M.
L.
2
T
-
2
{\ displaystyle {\ mathsf {M \; L ^ {2} \; T ^ {- 2}}}}
system
Anglo-American system of measurement
In SI units
1
f
t
⋅
l
b
≈
1.355
817
948
N
m
{\ displaystyle \ mathrm {1 \, ft \ cdot lb \; \ approx \; 1 {,} 355 \, 817 \, 948 \; Nm}}
In CGS units
1
f
t
⋅
l
b
≈
13
558
179
,
48
d
y
n
⋅
c
m
{\ displaystyle \ mathrm {1 \, ft \ cdot lb \; \ approx \; 13 \, 558 \, 179 {,} 48 \; dyn \ cdot cm}}
Derived from
Foot , pound
The foot-pound or foot-pound force is a British and American unit of both energy and torque (there also pound-foot ). The unit symbol is ft lb or ft lbf , also lbf ft .
One foot-pound is exactly 1.355 817 948 331 400 4 J ( Joule ) and corresponds to the energy that has to be applied to lift a body with a mass of one pound by one foot against its weight :
1
f
t
⋅
l
b
=
l
b
⋅
G
⋅
f
t
=
0.453
59237
k
G
⋅
9
,
81
m
s
2
⋅
0.304
8th
m
=
1.355
81
...
k
G
m
2
s
2
=
1.355
817
948
331
400
4th
J
{\ displaystyle {1 \, \ mathrm {ft} \ cdot \ mathrm {lb} = \ mathrm {lb} \ cdot g \ cdot \ mathrm {ft} = 0 {,} 45359237 \, \ mathrm {kg} \ cdot 9 {,} 81 \, {\ frac {\ mathrm {m}} {\ mathrm {s} ^ {2}}} \ cdot 0 {,} 3048 \, \ mathrm {m} = 1 {,} 35581 \ dots \, \ mathrm {kg} {\ frac {\ mathrm {m} ^ {2}} {\ mathrm {s} ^ {2}}} = 1 {,} 355 \, 817 \, 948 \, 331 \ , 400 \, 4 \, \ mathrm {J}}}
550 foot-pounds per second correspond to one hp (about 745.7 watts).
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