Question

Evaluate the efficiency of two identical-looking conveyor belts. Belt A can move a 10 newtons weight one meter in 3 seconds. Belt B can move a 10 Newtons weight 2 meters in 3 seconds

Answer 1

The Belt A has an efficiency of 50% while the Belt B has an efficiency of 25%

Why?

To calculate the efficiency of the belts, we need to consider that both conveyor belts are identical looking and both weights are equal (10 Newtons).

We need to remember that the formula to calculate work is equal to:

$Work=Force*distance(Joule)$

Also,

$Joules=\frac{Newton}{m}$

We know the following:

For belt A,

$weight=10N\\time=3seconds\\distance=1meter\\Joule=\frac{N}{m}=\frac{10N}{1m}=10J$

For belt B,

$weight=10N\\time=3seconds\\distance=2meter\\Joule=\frac{N}{m}=\frac{10N}{2m}=5J$

Now, to calculate the efficiencty of the belts, we can use the following formula:

$Efficiency=\frac{Work(Out)}{Work(Starting)}*100$

We know that for both belts, the starting work was 20 J.

So, calculating we have:

$Efficiency_{BeltA}=\frac{10J}{20J}*100=50(percent)$

$Efficiency_{BeltB}=\frac{5J}{20J}*100=25(percent)$

Hence, we can see that The Belt A has an efficiency of 50% while The Belt B has an efficiency of 25%

Have a nice day!