force times length is the dimension for Work or Energy or Torque. Some examples are Newton meters (equivalent to Joules), inch pounds, foot pounds. The pounds are pounds force, not pounds mass.
Power
[ force ] = [ mass ] [ acceleration ] = [ mass ] [ length/time2 ] = [ mass-length-time-2 ]
[Force] = [ mass x length / time2 ]
Frequency and density aren't involved as 'bare quantities' in force. The bare quantities that constitute force are mass, length, and time, and the physical dimension of force is (mass) x (length)/(time)2 . The 'length' and 'time' combine to result in (length)/(time)2, and that's the 'acceleration' that you did include.
Work is force times distance. A Force divided by Distance: looking at the units, Force = newtons = kg m / s^2 = mass x length / time^2 so ML/T^2 Distance = m = length so L Force/Distance = (ML/T^2)/L = ML/LT^2 = M/T^2 So the units of a force divided by distance are mass/ time^2 This would be the rate of change of mass change with respect to time.
Change of the body's momentum = (force on the body) x (length of time the force acts on it)
[ force ] = [ mass ] [ acceleration ] = [ mass ] [ length/time2 ] = [ mass-length-time-2 ]
(mass) times (length) divided by (distance)2 or (mass) times (acceleration)
for a given lever length the force is (150 / 100) times greater torque = force (pounds) * lever length (feet)
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Yes, it is possible for a smaller force to have a large torque because it is usually located at a much greater distance from the center of rotation. Torque is calculated by multiplying the distance by the force.
No! Length squared will be the length times the length again. Length times height is going to find the area so it will not be the same.
No, force and energy are not the same dimension to start with. Gravitational force on an object is equal to mass*(gravitational acceleration) {dimensions Mass*Length/Time²}Kinetic energy is (1/2)*mass*(velocity)² {dimensions Mass*Length²/Time²}. If you look at these, Force, multiplied by length has the same dimension as Energy. And in fact you have other forms of energy:Work is Force times distance;Potential energy = mass*(gravitational accel)*height = (Force due to gravity)*(height), height is a distance or length.
multiply the force with length.
[Force] = [ mass x length / time2 ]
[ Force ] = [ Mass x Length / Time2 ]
The length of a radius is not the length of a diameter. The diameter is two times the length of the radius.
length times width length times width