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Gears, Pulleys, & Sprockets

Total questions: 82

Worksheet time: 41mins

Name
Class
Date
1.

Gears, pulleys, and sprockets are power train elements that transfer energy through which type of motion?

a)

Linear motion

b)

Rotary motion

c)

Oscillating motion

d)

Vibrating motion

2.

Which of the following is NOT a function of gears, pulleys, and sprockets?

a)

Change the speed of rotation

b)

Change the direction of rotation

c)

Change the amount of torque available to do work

d)

Generate electricity

3.

Fill in the blank: Gears, pulleys, and sprockets can change the _______ of rotation.

a)

direction

b)

color

c)

temperature

d)

weight

4.

Fill in the blank: Gears, pulleys, and sprockets can change the amount of _______ available to do work.

a)

torque

b)

friction

c)

velocity

d)

temperature

5.

What is a gear train used for?

a)

A gear train is used for transmitting rotary motion and torque through interlocking teeth.

b)

A gear train is used for storing electrical energy.

c)

A gear train is used for cooling electronic components.

d)

A gear train is used for measuring temperature.

6.

A gear train is made when ______ or more gears are meshed.

a)

two

b)

three

c)

four

d)

five

7.

Which gear causes motion in a gear train?

a)

Driver gear

b)

Follower gear

c)

Idler gear

d)

Intermediate gear

8.

What happens to the motion in a gear train?

a)

It stops at the driver gear

b)

It is transferred to the driven gear

c)

It reverses direction

d)

It disappears

9.

Mating gears always turn in _______ directions. (Fill in the blank)

a)

opposite

b)

same

c)

random

d)

parallel

10.

What does an Idler Gear allow the driver and driven gears to do?

a)

Rotate in opposite directions

b)

Rotate in the same direction

c)

Stop rotating

d)

Change size

11.

Mating gears always have the same size teeth (diametric pitch).

a)

True

b)

False

12.

The rpm of the larger gear is always slower than the rpm of the smaller gear.

a)

True

b)

False

13.

Gears locked together on the same shaft will always turn in the same direction and at the same rpm.

a)

True

b)

False

14.

What is the value of n_in (number of teeth for the input gear)?

a)

6

b)

8

c)

10

d)

12

15.

What is the value of d_in (diameter for the input gear)?

a)

2 in.

b)

3 in.

c)

4 in.

d)

5 in.

16.

What is the value of w_in (angular velocity for the input gear)?

a)

40 rpm

b)

20 rpm

c)

60 rpm

d)

80 rpm

17.

What is the value of t_in (torque for the input gear)?

a)

40 ft-lb

b)

25 ft-lb

c)

60 ft-lb

d)

100 ft-lb

18.

What is the value of n_out (number of teeth for the output gear)?

a)

12

b)

16

c)

20

d)

8

19.

What is the value of d_out (diameter for the output gear)?

a)

4 in.

b)

2 in.

c)

6 in.

d)

8 in.

20.

What is the value of w_out (angular velocity for the output gear)?

a)

20 rpm

b)

10 rpm

c)

40 rpm

d)

5 rpm

21.

What is the value of t_out (torque for the output gear)?

a)

80 ft-lb

b)

40 ft-lb

c)

120 ft-lb

d)

200 ft-lb

22.

What does the variable 'n' represent in the context of gear ratios?

a)

Number of teeth

b)

Diameter

c)

Angular velocity

d)

Torque

23.

What does the variable 'd' represent in the context of gear ratios?

a)

Number of teeth

b)

Diameter

c)

Angular velocity

d)

Torque

24.

What does the variable 'w' represent in the context of gear ratios?

a)

Number of teeth

b)

Diameter

c)

Angular velocity (speed)

d)

Torque

25.

What does the variable 't' represent in the context of gear ratios?

a)

Number of teeth

b)

Diameter

c)

Angular velocity

d)

Torque

26.

Given the equation GR/1 = n_out/n_in, what is the value of GR if n_out = 12 and n_in = 6? Fill in the blank: GR/1 = 12/6 = __/1

a)

2/1

b)

6/1

c)

12/1

d)

1/2

27.

Given the equation GR/1 = d_out/d_in, what is the value of GR if d_out = 4 in. and d_in = 2 in.? Fill in the blank: GR/1 = 4 in./2 in. = __/1

a)

2/1

b)

1/2

c)

4/1

d)

3/1

28.

Given the equation GR/1 = ω_in/ω_out, what is the value of GR if ω_in = 40 rpm and ω_out = 20 rpm? Fill in the blank: GR/1 = 40 rpm/20 rpm = __/1

a)

2/1

b)

1/2

c)

4/1

d)

1/4

29.

Given the equation GR/1 = τ_out/τ_in, what is the value of GR if τ_out = 80 ft-lb and τ_in = 40 ft-lb? Fill in the blank: GR/1 = 80 ft-lb/40 ft-lb = __/1

a)

2/1

b)

1/2

c)

40/80

d)

4/1

30.

What is the gear ratio (GR) for a system where the output gear has 12 teeth and the input gear has 6 teeth?

a)

2/1

b)

1/2

c)

3/1

d)

1/1

31.

Refer to the diagram of gears A (20T), B (12T), C (5T), and D (20T). What is the gear ratio between gears A and B? (Use the formula GR = n_out / n_in)

a)

0.6 / 1

b)

1.67 / 1

c)

1 / 0.6

d)

2 / 1

32.

Refer to the diagram of gears A (20T), B (12T), C (5T), and D (20T). What is the gear ratio between gears B and C?

a)

0.42 / 1

b)

2.4 / 1

c)

1.67 / 1

d)

1 / 2

33.

Refer to the diagram of gears A (20T), B (12T), C (5T), and D (20T). What is the gear ratio between gears C and D?

a)

4 / 1

b)

1 / 4

c)

2 / 1

d)

1 / 2

34.

Refer to the diagram of gears A, B, C, and D. What is the TOTAL gear train gear ratio?

a)

1/1

b)

2/1

c)

1/2

d)

4/1

35.

If gears A and D were directly connected to each other, what would the resulting gear ratio be?

a)

1/1

b)

2/1

c)

1/2

d)

3/1

36.

If the last gear had 40 teeth, what would be the total gear ratio?

a)

2/1

b)

1/2

c)

4/1

d)

1/4

37.

Gear ratios are used similarly to which of the following?

a)

Mechanical Advantage (MA)

b)

Power

c)

Velocity

d)

Acceleration

38.

Fill in the blank: Gear ratios apply to ______ instead of force.

a)

torque

b)

speed

c)

distance

d)

power

39.

What is the formula for output force in terms of mechanical advantage (MA) and input force (F_in)?

a)

F_out = MA · F_in

b)

F_out = F_in / MA

c)

F_out = MA / F_in

d)

F_out = F_in - MA

40.

What is the formula for output torque in terms of gear ratio (GR) and input torque (τ_in)?

a)

τ_out = GR · τ_in

b)

τ_out = τ_in / GR

c)

τ_out = GR / τ_in

d)

τ_out = τ_in + GR

41.

In a compound machine, total MA and GR are products of the components.

a)

True

b)

False

42.

Which of the following is used only to calculate forces, not torques?

a)

MA

b)

GR

c)

Both MA and GR

d)

Neither MA nor GR

43.

Which of the following is used only to calculate torques, not forces?

a)

MA

b)

GR

c)

Both MA and GR

d)

Neither MA nor GR

44.

Here are three mechanisms in series: 1. Wheel–axle 2. Gear train 3. Wheel–axle Which of the following is NOT one of the mechanisms listed in the example compound machine?

a)

Wheel–axle

b)

Gear train

c)

Pulley

d)

All of the above are listed

45.

The radius of Gear 1 in the diagram is ____ inches.

a)

1.5

b)

2.0

c)

1.0

d)

2.5

46.

How many teeth does Gear 2 have in the diagram?

a)

24

b)

18

c)

30

d)

36

47.

What is the formula for the mechanical advantage (MA) of a wheel–axle mechanism as shown in the example compound machine?

a)

MA = DR / DE

b)

MA = DE / DR

c)

MA = DE × DR

d)

MA = DR - DE

48.

In the example compound machine, if the effort diameter (DE) is 4.0 in. and the resistance diameter (DR) is 1.5 in., what is the mechanical advantage (MA)?

a)

2.67

b)

1.25

c)

3.50

d)

0.38

49.

Which gear in the diagram has a radius of 1.5 inches and 60 teeth?

a)

Gear 1

b)

Gear 2

c)

Both gears

d)

Neither gear

50.

In the example compound machine, what is the radius of Gear 2?

a)

0.6 in.

b)

1.2 in.

c)

0.3 in.

d)

2.0 in.

51.

What is the formula for the gear ratio (GR) in a gear train as shown in the example compound machine?

a)

GR = n_in / n_out

b)

GR = n_out / n_in

c)

GR = radius_1 / radius_2

d)

GR = force_output / force_input

52.

In the example compound machine, if n_out = 24 and n_in = 60, what is the gear ratio (GR)?

a)

0.4

b)

2.5

c)

1.5

d)

0.25

53.

Which of the following correctly describes Gear 1 in the diagram?

a)

24 tooth, radius 0.6 in.

b)

60 tooth, radius 1.5 in.

c)

60 tooth, radius 0.6 in.

d)

24 tooth, radius 1.5 in.

54.

Gear 2 in the diagram has how many teeth and what radius?

a)

24 teeth, radius 0.6 in.

b)

60 teeth, radius 1.5 in.

c)

24 teeth, radius 1.5 in.

d)

60 teeth, radius 0.6 in.

55.

What is the formula for the mechanical advantage (MA) of a wheel–axle mechanism as shown in the example compound machine?

a)

MA = DE / DR

b)

MA = DR / DE

c)

MA = DE * DR

d)

MA = DR - DE

56.

Using the values provided in the example, what is the mechanical advantage (MA) when DE = 0.6 in. and DR = 4.0 in.?

a)

0.15

b)

0.25

c)

0.60

d)

1.50

57.

In the diagram, what is the radius of Gear 1?

a)

0.6 in.

b)

1.5 in.

c)

4.0 in.

d)

2.0 in.

58.

In the example compound machine, how many teeth does Gear 2 have?

a)

24

b)

18

c)

30

d)

12

59.

Refer to the diagram and information provided: Gear 1 has 60 teeth and a radius of 1.5 in. Gear 2 has 24 teeth and a radius of 0.6 in. What is the radius of Gear 1?

a)

0.6 in.

b)

1.5 in.

c)

4.0 in.

d)

2.67 in.

60.

Refer to the formula shown: MA_total = MA_1 · MA_3 = 2.67 · 0.15. What is the value of MA_total?

a)

0.4

b)

0.15

c)

2.82

d)

0.25

61.

In the example compound machine, what is the number of teeth on Gear 2?

a)

24

b)

60

c)

15

d)

0.4

62.

According to the diagram, what is the distance labeled 'd' for both racks?

a)

1.5 in.

b)

0.6 in.

c)

4.0 in.

d)

2.67 in.

63.

What is the total gear ratio (GR_tot) given in the image?

a)

0.2

b)

0.4

c)

0.6

d)

1.5

64.

Refer to the diagram of the Example Compound Machine. How many teeth does Gear 1 have?

a)

24

b)

40

c)

60

d)

100

65.

Refer to the diagram of the Example Compound Machine. Fill in the blank: The distance (d) of the lever arms is ____ in.

a)

4.0

b)

2.5

c)

6.0

d)

8.0

66.

Refer to the diagram of the Example Compound Machine. What is the radius of Gear 2?

a)

0.6 in.

b)

1.5 in.

c)

2.0 in.

d)

4.0 in.

67.

Refer to the diagram of the compound gear train. What do the two middle gears share?

a)

Different axles

b)

A common axle

c)

No axle

d)

A belt

68.

According to the passage, what is the effect of the final gear being connected through the compound gear train instead of directly to the driver gear?

a)

It rotates faster and produces less torque

b)

It rotates slower and produces more torque

c)

It rotates at the same speed as the driver

d)

It stops rotating

69.

Fill in the blank: The two middle gears in a compound gear train rotate at the same speed because they share a _________.

a)

common axle

b)

tooth profile

c)

gear ratio

d)

lubricant

70.

In a compound gear train, the final gear rotates slower and produces more torque than if it were connected only to the driver gear.

a)

True

b)

False

71.

What is the gear ratio between gears A and B?

a)

4/1

b)

1/2

c)

2/3

d)

3/2

72.

What is the gear ratio between gears C and D?

a)

2.5/1

b)

1/2.5

c)

1/1

d)

5/1

73.

Refer to the diagram of the compound gear system. What is the gear ratio of the entire gear train?

a)

10/1

b)

5/1

c)

2/1

d)

1/5

74.

In a belt and pulley system, which of the following equations correctly represents the relationship between the diameters, angular velocities, and torques of the input and output pulleys?

a)

A) d_out/d_in = ω_in/ω_out = τ_out/τ_in

b)

B) d_in/d_out = ω_out/ω_in = τ_in/τ_out

c)

C) d_out/d_in = ω_out/ω_in = τ_in/τ_out

d)

D) d_in/d_out = ω_in/ω_out = τ_out/τ_in

75.

Fill in the blank: In the example shown, the diameter of the output pulley (d_out) is _____

a)

6 in.

b)

4 in.

c)

8 in.

d)

10 in.

76.

Fill in the blank: In the example shown, the angular velocity of the input pulley (ω_in) is _____

a)

30 rpm

b)

15 rpm

c)

45 rpm

d)

60 rpm

77.

Fill in the blank: In the example shown, the torque of the output pulley (τ_out) is _____

a)

55 ft-lb

b)

25 ft-lb

c)

100 ft-lb

d)

10 ft-lb

78.

Which of the following correctly matches the symbols with their meanings?

a)

d = diameter, ω = angular velocity (speed), τ = torque

b)

d = torque, ω = diameter, τ = angular velocity (speed)

c)

d = angular velocity (speed), ω = torque, τ = diameter

d)

d = speed, ω = diameter, τ = torque

79.

What does the variable 'n' represent in sprocket and chain systems?

a)

number of teeth

b)

number of links in the chain

c)

speed of the chain

d)

diameter of the sprocket

80.

What does the variable 'd' represent in sprocket and chain systems?

a)

diameter

b)

distance

c)

depth

d)

density

81.

What does the variable 'ω' represent in sprocket and chain systems?

a)

angular velocity (speed)

b)

linear displacement

c)

tension force

d)

power output

82.

What does the variable 'τ' represent in sprocket and chain systems?

a)

torque

b)

tension

c)

temperature

d)

time

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