A machine has an efficiency of 60%. If the machine is required to overcome a load of 30 N with a force of 20 N calculate its mechanical advantage?

a

0.7

b

0.9

c

1.5

d

2.5

e

10.0

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Explanation

Correct Option
c

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Discussions (6)

charlilo
10 years ago

Here is an explanation:

Mechanical Advantage(MA)= Load/Effort, there is actually no need to use the efficiency because we are not asked to find the velocity ratio

adu adeyinka
11 years ago

d answer shld be 0.9 nw

Austinpost
2 years ago

To find the mechanical advantage (MA), you use the formula:



=










MA=
Effort
Load



Given:
Efficiency = 60% = 0.60
Load = 30 N
Effort = 20 N

First, calculate the output work done by the machine:
Output work
=
Efficiency
×
Input work
Output work=Efficiency×Input work
Output work
=
0.60
×
20
N
=
12
N
Output work=0.60×20 N=12 N

Now, you can calculate the mechanical advantage using the formula:


=














MA=
Outputwork
Load




=
30
N
12
N
MA=
12 N
30 N





2.5
MA≈2.5

So, the mechanical advantage of the machine is approximately 2.5.
0.7

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