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Gear Practice Problems YT .pdf


Original filename: Gear Practice Problems YT.pdf
Title: Microsoft Word - Gear Practice Problems Modified.docx

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istance
orce

string

13.4)

13.5)

L

IMA=

H

(13.7)

Screw

Activity
1.1.5 Gears, Pulley Drives, and
C
IMA =
(13.8)
Pitch
Sprockets
Practice Problems
1

Pitch =

(13.9)

TPI
Procedure

C = circumference

Answer the followingr questions
regarding gear, pulley, and sprocket systems. Each
= radius
question requires proper
and annotation including labeling of forces,
Pitch illustration
= distance between
threads values. Illustrations should consist of basic top
distances, direction, and unknown
TPI =rather
threadsthan
per inch
view assembly sketches
realistic pictorials. Be sure to document all
solution steps and proper units. Remember: counted teeth have infinite digits, and
assume all other measurements contain three (3) significant digits.
Compound Machines
AllTOTAL
problem
MA
= (MA1calculations
) (MA2) (MA3) .should
..

assume
ideal conditions and no friction loss.
(13.10)

Gears; Sprockets with Chains; and Pulleys
with Belts Ratios
GR =
dout
din

=

Nout
Nin
ωin
ωout

=

dout

=

τout

din
τin

=

ωin
ωout

=

(pulleys)

τout
τin

(13.11)
(13.12)

Compound Gears
GRTOTAL =

B

D

A

C

(13.13)

GR = gear ratio
ωin = angular velocity - driver
ωout = angular velocity - driven
Nin = number of teeth - driver
Nout = number of teeth - driven
din = diameter - driver
dout = diameter - driven
𝜏in = torque - driver
𝜏out = torque - driven
POE 6

Gears
A compound gear train is composed of four gears. Gear A is the driver and has 12
teeth, gear B has 24 teeth, and shares a shaft with gear C. Gear C has 30 teeth and
gear D has 32 teeth.

© 2012 Project Lead The Way, Inc.
Principles of Engineering Activity 1.1.5 Gears, Pulley Drives, and Sprockets Practice Problems – Page 1

1. Sketch and annotate the gear train described above.

2. If the output is at D, what is the gear ratio?
Formula

Substitute / Solve

Final Answer

3. If gear A rotates at 80 rpm, how fast is gear D rotating?
Formula

Substitute / Solve

Final Answer

4. If the output of torque at gear C is 90 ft·lb, what is the input torque at gear A?
Formula

Substitute / Solve

Final Answer

5. What size gear would you need to replace gear d with in order to change the gear
ratio to 4:1?
Formula

Substitute / Solve

Final Answer

© 2012 Project Lead The Way, Inc.
Principles of Engineering Activity 1.1.5 Gears, Pulley Drives, and Sprockets Practice Problems – Page 2

© 2012 Project Lead The Way, Inc.
Principles of Engineering Activity 1.1.5 Gears, Pulley Drives, and Sprockets Practice Problems – Page 3

A simple gear train is composed of three gears. Gear A is the driver and has 8 teeth,
gear B has 24 teeth, and gear C has 16 teeth.
6. Sketch and annotate the gear train described above.

7. If the output is at C, what is the gear ratio?
Formula

Substitute / Solve

Final Answer

8. If gear A rotates at 60 rpm, how fast is gear C rotating?
Formula

Substitute / Solve

Final Answer

9. If the output of torque at gear C is 150 ft·lb, what is the input torque at gear A?
Formula

Substitute / Solve

Final Answer

© 2012 Project Lead The Way, Inc.
Principles of Engineering Activity 1.1.5 Gears, Pulley Drives, and Sprockets Practice Problems – Page 4

A compound gear train is composed of four gears: A, B, C, and D. Gear A has 10
teeth and is meshed with gear B. Gear B has 20 teeth and shares a shaft with gear
C, which has 16 teeth. Gear C is meshed with gear D, the output gear. Power is
supplied at gear A with 100 ft·lb of torque and is traveling at 1,600 rpm.
10. Sketch and annotate the gear train described above.

© 2012 Project Lead The Way, Inc.
Principles of Engineering Activity 1.1.5 Gears, Pulley Drives, and Sprockets Practice Problems – Page 5

11. The necessary torque output for the system is 500 ft·lb. What should the gear ratio
of the system be?
Formula

Substitute / Solve

Final Answer

With a system torque output of 500 ft·lb, how many teeth should gear D have?
Formula

Substitute / Solve

Final Answer

© 2012 Project Lead The Way, Inc.
Principles of Engineering Activity 1.1.5 Gears, Pulley Drives, and Sprockets Practice Problems – Page 6


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