Question

Select a pair of spur gears with standard full-depth 20-degree AGMA teeth that provide an EXACT speed ratio of 3 and operate at a center distance of approximately 2.1 inches. What are the minimum inside length and inside height for a rectangular gearbox to hold your gear pair? Specify: 1. Number of teeth on gear = 2. Number of teeth on pinion = 3. Radius of gear = 4. Radius of pinion = 5. Diametral pitch of gear = 6. Addendum of gear = 7. Gear box length = 8. Gear box height = pitch circles for gears 2 and 3 C HMIN O$_2$ O$_3$ LMIN

          Select a pair of spur gears with standard full-depth 20-degree AGMA teeth that provide an
EXACT speed ratio of 3 and operate at a center distance of approximately 2.1 inches. What are
the minimum inside length and inside height for a rectangular gearbox to hold your gear pair?
Specify:
1. Number of teeth on gear = 
2. Number of teeth on pinion = 
3. Radius of gear = 
4. Radius of pinion = 
5. Diametral pitch of gear = 
6. Addendum of gear = 
7. Gear box length = 
8. Gear box height = 
pitch circles for gears 2 and 3
C
HMIN
O$_2$
O$_3$
LMIN
        
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Select a pair of spur gears with standard full-depth 20-degree AGMA teeth that provide an
EXACT speed ratio of 3 and operate at a center distance of approximately 2.1 inches. What are
the minimum inside length and inside height for a rectangular gearbox to hold your gear pair?
Specify:
1. Number of teeth on gear = 
2. Number of teeth on pinion = 
3. Radius of gear = 
4. Radius of pinion = 
5. Diametral pitch of gear = 
6. Addendum of gear = 
7. Gear box length = 
8. Gear box height = 
pitch circles for gears 2 and 3
C
HMIN
O2
O3
LMIN

Added by George C.

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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Select a pair of spur gears with standard full-depth 20-degree AGMA teeth that provide an EXACT speed ratio of 3 and operate at a center distance of approximately 2.1 inches. What are the minimum inside length and inside height for a rectangular gearbox to hold your gear pair? Specify: 1. Number of teeth on gear 2. Number of teeth on pinion = 3. Radius of gear 4. Radius of pinion = 5. Diametral pitch of gear = 6. Addendum of gear = 7. Gearbox length = 8. Gearbox height = pitch circles for gears 2 and 3 HMIN Xos T0 LMIN
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Transcript

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00:07 Teeth on gear denoted as z a equal to 80, teeth on penile z p denoted equal to 20.
00:23 So, z a by z p equal to 80 by 20, we get the value as 4.
00:31 So, this is known as the gear ratio ok.
00:36 Now, the central distance d c equal to d p plus d a by 2 equal to 25 inches ok.
00:55 So, we know the relation that is n p by n a equal to d a by d p that is equal to z g by z p that is equal to t g by t p.
01:15 So, we have z t that is equal to pi d that is circular path sorry circular pitch that is equal to p c equal to pi d by z equal to m pi.
01:37 So, module m denoted as m equal to d by z.
01:45 Tooth thickness t equal to p c by q.
01:58 Now, d c equal to d p plus d g by 2 that is equal to d p 1 plus d g by d p whole by 2.
02:15 So, d c equal to d p 1 plus z g by z p whole by 2.
02:25 The t is equal to d p by z p z p plus z g whole by 2.
02:40 D c equal to m z p plus z g by 2 m equal to d p by z p ok.
02:59 So, d c equal to m z p plus z g by 2.
03:08 So, now substitute the values ok...
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