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Monday, 31 December 2012

Let's get Mathematical Part 12

Given: barrel 84 teeth, centre wheel 80 teeth, third wheel 75 teeth, second wheel (fourth wheel) 70 teeth, escape wheel 15 teeth, centre wheel pinion 12 leaves, third wheel pinion 10 leaves, second wheel pinion (fourth wheel) 10 leaves, escape wheel pinion 7 leaves. Calculate the number of turns an escape wheel pinion accomplishes during one turn of the centre wheel.

Z1•Z3•Z5
Z2•Z4•Z6

80•75•70
10•10•7

Answer: 600

Friday, 28 December 2012

Let's get Mathematical Part 11

Given: hour wheel 64 teeth, minute wheel 42 teeth, cannon pinion 16 leaves. Calculate the number of leaves of the pinion.

N1 = Z1 Z3
N2 Z2 Z4

1 = 16 x ?
12 64 x 48

1 x ?
4 x 48

1 x ?
192

192/12 = 16

Thursday, 27 December 2012

Let's get Mathematical Part 10

Given: hour wheel 48 teeth, minute wheel pinion 10 leaves, cannon pinion 12 leaves. Calculate the number of teeth of the minute wheel.

Motion work ratio is almost always 12:1

N1 = Z1 Z3
N2 Z2 Z4

1 = 10 x 12
12 48 x ?

1 x 10
4 x ?

10
120

120/4 = 30