farm machine has a velocity ratio of 12 and an actual mechanical advantage of 10.calculate the work input of the machine if it raises an 80kg load by 6m?

Question

farm machine has a velocity ratio of 12 and an actual mechanical advantage of 10.calculate the work input of the machine if it raises an 80kg load by 6m?

Answer 1

A farm machine has a velocity ratio of 12.0 and an actual mechanical advantage of 10.0. Calculate the work input of the machine if it raises an 80 kg load by 6.0 m.

Answer 2

To calculate the work input of a machine, we need to use the formula:

Work Input = Work Output / Efficiency

We can calculate the work output using the formula:

Work Output = Force Output * Distance Output

First, we need to find the force output. We know that the actual mechanical advantage (AMA) is the ratio of the force output to the force input:

AMA = Force Output / Force Input

In this case, the actual mechanical advantage is given as 10. Therefore:

10 = Force Output / Force Input

Next, we need to find the force input. We know that the force input can be calculated by dividing the weight of the load by the acceleration due to gravity (g):

Force Input = Weight / g

The weight of the load is given as 80 kg. The acceleration due to gravity can be considered as approximately 9.8 m/s^2. Therefore:

Force Input = 80 kg * 9.8 m/s^2
= 784 N

Now, we can calculate the force output:

10 = Force Output / 784 N

Force Output = 10 * 784 N
= 7840 N

Next, we can calculate the distance output. The velocity ratio (VR) is the ratio of the distance output to the distance input:

VR = Distance Output / Distance Input

In this case, the velocity ratio is given as 12. Therefore:

12 = Distance Output / Distance Input

Next, we need to find the distance output. We know that the distance output can be calculated by multiplying the distance input by the velocity ratio:

Distance Output = Distance Input * VR

In this case, the distance input is given as 6 m. Therefore:

Distance Output = 6 m * 12
= 72 m

Now, we can calculate the work output:

Work Output = Force Output * Distance Output
= 7840 N * 72 m
= 564480 J

Finally, we can calculate the work input:

Efficiency is not given in the problem, so we will assume 100% efficiency. Therefore:

Work Input = Work Output
= 564480 J

Hence, the work input of the machine is 564480 Joules.

Answer 3

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