Find speed of dynamo shaft, Mechanical Engineering

Find speed of dynamo shaft:

Q: With the help of belt an engine running at 200rpm drives line shaft. The Diameter of the pulley on engine is 80cm and the diameter of the pulley on line shaft is 40cm. A 100cm diameter pulley on line shaft drives 20cm diameter pulley keyed to dynamo shaft. Find speed of dynamo shaft when: (1) There is no slip (2) There is a slip of 2.5 percent at each drive.

1436_Find speed of dynamo shaft.png

Sol:

Diameter of driver pulley (D1) = 80cm 

Diameter of follower pulley (D2) = 40cm
Diameter of driver pulley (D3) = 100cm
Diameter of follower pulley (D4) = 20cm

Slip on each drive, s1  = s2  = 2.5

Let N4 = Speed of dynamo shaft

(i) When there is no slip

By using equation

N4/N1  = (D1.D3)/(D2.D4)

N4  = N1  X (D1.D3)/(D2.D4) = [(80 X 100) X 200]/(40 X 20)

N4  = 2000RPM                                                            .......ANS

(ii) When there is slip of 2.5 percent at each drive

In this case we will have equation of:

N4/N1  = [(D1.D3)/(D2.D4)][1-s1/100][1-s2/100] By putting the values, we get

1298_Find speed of dynamo shaft1.png

 

Posted Date: 10/18/2012 3:14:06 AM | Location : United States







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