Wiki User
∙ 13y agoF = a + bx
We're told that 'F' is force and 'x' is distance. So both of the terms 'a' and 'bx'
are also force.
Dimensionally:
[ a ] = [ force ] = [ mass - length3 - time-2 ]
[ b ] = [ force/length ] = [ mass - length2 - time-2 ]
Wiki User
∙ 13y agoForce times distance equals work.
distance
W= FxD is a balanced equation because Work is Force times distance.
Work=Force X Distance
Work is defined as the dot product of force times distance, or W = F * d = Fd cos (theta) where theta is the angle in between the force and distance vectors (if you are doing two dimensions). In three dimensions, use the standard definition for the dot product (using the component form of the vectors).
This question is, unfortunately, not well stated. Force and distance are different in dimensions so force and distance cannot ever be the same. You could have numerically similar dimensions - such as 2 Newtons and 2 feet, but they are not the same thing. The question needs to be re-stated and clarified so that we can give a valid answer.
Force times distance equals work.
Force times Distance equals Work
Moments of force are typically described in units of torque, which have dimensions of force times distance. Therefore, the dimensions of moments of force can be expressed as distance multiplied by force, such as in Newton-meters (Nm) or foot-pounds (ft-lb).
To find distance in the work formula, you can rearrange the formula to distance equals work divided by force. This allows you to calculate the distance by dividing the work done by the force applied.
Work equals force multiplied by distance. It is a measure of the energy transferred to or from an object when a force is applied over a certain distance. Mathematically, work = force x distance x cos(theta), where theta is the angle between the force and the direction of motion.
equals work
distance
Yes - quite different. Energy has dimensions of force x distance - if you apply a force over a certain distance, you transfer a certain amount of energy.
Work divided by force equals distance. This equation is based on the formula for work, which is work = force x distance. By rearranging the formula, you get distance = work/force.
work (effort) equals load times distance
< TIMES >You can't add or subtract quantities with different dimensions, like force and distance, speed and volume, etc.