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Compound IMA Test

Total questions: 17

Worksheet time: 8mins

Name
Class
Date
1.
y=kx What is y if x=2 and k=5
a)
10
b)
5
c)
2
d)
7
2.
y=k/x What is y if x=2 and k=10
a)
5
b)
2
c)
10
d)
12
3.
y=kx If k increases does y get larger or smaller
a)
Larger
b)
Smaller
4.
y=k/x If x increases does y get larger or smaller
a)
Larger
b)
Smaller
5.

MA=Out/In You have a compound machine with a gear train and a pulley and belt system. The driver gear (input gear) has 10 teeth. The output gear has 20 teeth. The input pulley has a diameter of 15 mm. The output has a diameter of 45 mm. What is the IMA of the entire machine?

Use printed formulas

a)
6
b)
60
c)
30
d)
5
6.
MA = out/in If you have two gears, one has 20 teeth. The other has 40 teeth. If you want the largest possible MA, which should be the driver (input gear)?
a)
The 20 tooth gear
b)
The 40 tooth gear
c)
Either
7.
MA = out/in If you have two gears, one has 60 teeth. The other has 36 teeth. If you want the smallest possible MA, which should be the driver (input gear)?
a)
The 60 teeth gear
b)
The 36 teeth gear
8.

MA = out/in You have a lever system with a 2-meter long effort arm and a 0.5-meter long load arm. What is the IMA of the lever?

a)

4

b)

0.25

c)

2

d)

1

9.

y=kx If k=3 and x=4, what is the value of y?

a)

3

b)

12

c)

7

d)

4

10.

If a pulley system has a mechanical advantage of 4, what does that mean?

a)

This means that it is 4 times easier to lift this load.

b)

This means you only need a quarter of the effort to lift the load.

c)

For example, if you lifted 100 kg, it would only take 25 kg of effort.

d)

All of the above

11.

MA = out/in You have a lever system with a 3-meter long effort arm and a 1-meter long load arm. What is the IMA of the lever?

a)

2

b)

1

c)

0.33

d)

3

12.

y=kx If k=5 and x=3, what is the value of y?

a)

3

b)

5

c)

8

d)

15

13.

MA = out/in If you have two gears, one has 50 teeth. The other has 25 teeth. If you want the largest possible MA, which should be the driver (input gear)?

a)

The 50 teeth gear

b)

The 25 teeth gear

14.

y=k/x If k=8 and x=4, what is the value of y?

a)

4

b)

2

c)

16

d)

8

15.

MA = out/in You have a lever system with a 4-meter long effort arm and a 1-meter long load arm. What is the IMA of the lever?

a)

4

b)

1

c)

0.25

d)

2

16.

If a compound machine consists of a lever with an MA of 3 and a pulley system with an MA of 2, what is the total MA of the machine?

a)

1.5

b)

5

c)

6

d)

0.5

17.

The mechanical advantage of a compound machine can be found by:

a)

Adding the efficiencies of each simple machine

b)

Multiplying the MAs of the individual simple machines

c)

Dividing the input distance by output distance

d)

Subtracting the work output from the work input