The catapult is a simple machine. The work input is the restraining of the payload and pressure put on the spring or lever. The work output is the delivery of the payload with the energy of the work transferred to it.
The formula for work exerted by each simple machine is: Lever: Work = Input force × Input distance = Output force × Output distance Inclined plane: Work = Input force × Input distance = Output force × Output distance Pulley: Work = Input force × Input distance = Output force × Output distance Wheel and axle: Work = Input force × Input radius = Output force × Output radius Wedge: Work = Input force × Input distance = Output force × Output distance Screw: Work = Input force × Input distance = Output force × Output distance
The relationship between work input and work output is defined by the efficiency of a system. Efficiency is a measure of how well a system converts input work into output work and is calculated as the ratio of output work to input work. A higher efficiency indicates a more effective conversion of work input to work output.
When considering friction, the work output will always be less than the work input. This is because friction creates resistance that opposes the motion of an object, resulting in some of the input energy being converted into heat rather than useful work output.
The formula to find the work output of efficiency is: Work output = Efficiency x Input work. Efficiency is a ratio of output work to input work, so multiplying this ratio by the input work gives the work output.
Considering the work input and output distance, to account for the effect of friction, the output force must be greater than the input force due to the work lost to friction. This means that the output force required to move the object the specified distance against friction will be higher than what would be calculated based solely on the given work input and output distance.
Output is always greater than input. The output is multiplied from input.
The formula for work exerted by each simple machine is: Lever: Work = Input force × Input distance = Output force × Output distance Inclined plane: Work = Input force × Input distance = Output force × Output distance Pulley: Work = Input force × Input distance = Output force × Output distance Wheel and axle: Work = Input force × Input radius = Output force × Output radius Wedge: Work = Input force × Input distance = Output force × Output distance Screw: Work = Input force × Input distance = Output force × Output distance
Work Input = Work Output + Work done in overcoming friction.Therefore Work Input > Work Output.
The relationship between work input and work output is defined by the efficiency of a system. Efficiency is a measure of how well a system converts input work into output work and is calculated as the ratio of output work to input work. A higher efficiency indicates a more effective conversion of work input to work output.
When considering friction, the work output will always be less than the work input. This is because friction creates resistance that opposes the motion of an object, resulting in some of the input energy being converted into heat rather than useful work output.
The formula to find the work output of efficiency is: Work output = Efficiency x Input work. Efficiency is a ratio of output work to input work, so multiplying this ratio by the input work gives the work output.
Considering the work input and output distance, to account for the effect of friction, the output force must be greater than the input force due to the work lost to friction. This means that the output force required to move the object the specified distance against friction will be higher than what would be calculated based solely on the given work input and output distance.
When calculating efficiency, work input is compared to the work output. Efficiency is the ratio of the work output to the work input, expressed as a percentage. It shows how effectively a system converts input energy into useful output energy.
The ratio of work output to work input is known as the efficiency. It is calculated by dividing the work output by the work input and multiplying by 100 to express it as a percentage. The efficiency value indicates how much of the input work is converted into useful output work.
Work Input- The work done on a machine as the input force acts through the input distance. Work Output - The work done by a machine as the output force acts through the output distance (What the machine does to the object (dependent on the force) to increase the output distance).
When you divide input work by output work, you get the efficiency of a system. Efficiency is a measure of how well a system converts input work into output work, expressed as a percentage. A higher efficiency value indicates that more of the input work is being used to produce output work.
Input work refers to the work done on a machine, which is calculated as the input force multiplied by the input distance. Output work is the work produced by the machine, which is calculated as the output force multiplied by the output distance. The efficiency of a machine is determined by comparing the output work to the input work, with ideal machines having an efficiency of 100%.