In a full rotation, 360°, a point on the edge of a gear would travel a distance equal to its circumference. The circumference of a circle is:
C=2πr, and since we are only traveling 150°, we need to set up an appropriate ratio for circumference to the distance the point travels:
d/C=150/360
d=5C/12 and since C=2πr
d=10πr/12
d=5πr/12, and since r=4in
d=5*4π/12 in
d=20π/12 in
d=5π/3 in
d≈5.24 in (to nearest hundredth of an inch)
The building blocks of geometry would be point line and plane.
3550 cds divided by 15 cds/ rack = 236.66667
Meaning that there will be 236 full racks and the last rack will only have 10 cds
The angle x is complimentary to the given angle
Therefore x = 90-29 = 61 degrees
