a machine was used to lift a load of 30N through a distance of 2metres. the effort applied was 10N through a distance of 8metres. calculate the. A) mechanical advantage B) work input of the machine C) work output of the machine D) the efficiency of the machine
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A machine was used to lift a load of 30N through a distance of 2m .the effort applied was 10N through a distance of 84.calculate the mechanical advantage of the machine.the velocity ratio of the machine
To calculate the various quantities related to the machine, we need to understand certain concepts. Let's define the terms first:
1. Mechanical Advantage (MA): It represents the ratio of the output force (load) to the input force (effort). It tells us how much the machine amplifies the force applied.
2. Work Input: It is the work done on the machine by the external force. In other words, it is the product of the applied force (effort) and the distance over which it is applied.
3. Work Output: It is the work done by the machine on the load. In this case, it is the product of the resistance force (load) and the distance over which it is raised.
4. Efficiency: It is the ratio of the output work to the input work, represented as a percentage. It tells us how much of the input energy is converted into useful output work.
Now, let's calculate the values:
A) Mechanical Advantage (MA):
MA = Load / Effort
MA = 30N / 10N
MA = 3
B) Work Input:
Work Input = Effort × Distance
Work Input = 10N × 8m
Work Input = 80 joules
C) Work Output:
Work Output = Load × Distance
Work Output = 30N × 2m
Work Output = 60 joules
D) Efficiency:
Efficiency = (Work Output / Work Input) × 100
Efficiency = (60 / 80) × 100
Efficiency = 75%
Therefore, the answers are:
A) Mechanical Advantage (MA) = 3
B) Work Input = 80 joules
C) Work Output = 60 joules
D) Efficiency = 75%