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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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### Document preview

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

regarding gear, pulley, and sprocket systems. Each
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
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.

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

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

Substitute / Solve

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

Substitute / Solve

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

Principles of Engineering Activity 1.1.5 Gears, Pulley Drives, and Sprockets Practice Problems – Page 2

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

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

Substitute / Solve

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

Substitute / Solve

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.

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

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

Substitute / Solve