Cycloidal example sentences

"Cycloidal" Example Sentences

1. The gear has a cycloidal tooth profile.
2. The motion of the pendulum approximates a cycloidal path.
3. The cam has a cycloidal shape.
4. The epicycloidal gear system uses gears with cycloidal teeth.
5. The epitrochoidal cycloid is a special type of cycloid curve.
6. The curve traced by a point on the perimeter of a circle rolling along a fixed circle is a cycloid.
7. The infinitesimal generator of the cycloid is constant and equal to one.
8. The catenary curve exhibits a cycloidal shape under certain conditions.
9. The pitch curve of the worm gear has a cycloidal shape.
10. The sliding gear of the Watt indicator has a cycloidal shape.
11. The teeth of the cycloidal gear are designed according to the Epicycloid curve.
12. The curve traced by the pen of a wave drawing machine produces a cycloidal graph.
13. The hypocycloid and epicycloid are specific types of cycloidal curves.
14. The curve generated by a point on a circle rolling along a fixed circle is a special case of the cycloid.
15. The involute curve can approximate the shape of a cycloid under certain conditions.
16. The curve traced by the circle's edge approximates a cycloid under low angular velocities.
17. The trochoid is a similar but distinct curve compared to the cycloid.
18. The involute of a cycloid curve is a logarithmic spiral.
19. The hypocycloidal curve has cusps that resemble a polygonal shape.
20. The cycloidal curves have a sweeping or rounded shape.
21. The teeth of the cycloid gears provide smooth and quiet transmission of motion.
22. The rack used in the Watt steering gear has a cycloidal shape.
23. Cycloidal curves are often used in the design of gears and cams.
24. The curve traced by a pencil drawn along the edge of a rotating circle approximates a cycloid.
25. As the rolling circle's radius increases, the cycloidal curve converges on the involute shape.
26. The moving point tracing the cycloid follows uniform angular acceleration.
27. The equation for parametric representation of a cycloid has trigonometric functions.
28. The generating circle of the hypocycloid rolls inside the fixed circle.
29. Engineers use cycloidal curves in the design of smooth-running machines.
30. Cycloidal gears provide energy transmission with lower noise and wear rates.
31. The curve traced by a pencil attached to the edge of a rolling circle is a cycloidal graph.
32. As the angular velocity increases, the cycloidal curve deviates more from the involute shape.
33. Cycloidal curves have a single cusp point at the end of each lobe.
34. The curve traced by the generating circle's center is a trochoid.
35. Cycloidal curves are involved in the kinematics analysis of epicyclic gear trains.
36. Cycloidal curves have practical applications in the design of automotive differentials.
37. The curve traced by the generating circle's edge approximates the cycloid curve shape.
38. The tracing point of the epicycloid traces a curve outside the fixed circle.
39. The epicycloid is traced by the generating circle rolling on the outside of the fixed circle.
40. The number of cusps in a cycloid depends on the number of lobes in the curve.
41. Trochoids have a similar shape to cycloids but are moved along a linear path.
42. Cycloidal curves are used in the analysis of cam mechanisms.
43. A series of cycloidal curves can approximate the smooth curve of a cam.
44. The curve traced by the rolling circle's circumference converges on the involute shape at high speeds.
45. The equation for a cycloid involves the radius of the generating circle and time.
46. The points on a cycloid curve move with simple harmonic motion.
47. The curve traced by drawing a continuous line along the edge of the generating circle is an epitrochoid.
48. Cycloidal gears transmit power smoothly due to the curved shape of their teeth.
49. The involute curve and involute spiral are related to the geometry of cycloids.
50. Higher-order cycloidal curves have more complex shapes.
51. Cycloidal curves can be approximated using polynomials.
52. Cycloids are a subset of roulette curves.
53. The path traced by a cycloid moves with simple harmonic motion.
54. The length of arc and area under a cycloid curve can be calculated analytically.
55. Cycloidal gears have higher contact ratio and load-carrying capacity than normal gears.
56. Cycloidal gears minimize noise and vibration during power transmission.
57. The arc length and area under a cycloid curve increase with the generating circle's radius.
58. The ratio of the radii determines the type of cycloid curve generated.
59. Hypocycloidal curves have loop-like shapes with multiple cusps.
60. Epicycloids have delicate petal-like shapes with single pointed cusps.

Common Phases

1. Cycloidal curve
2. Cycloidal gear
3. Cycloidal tooth
4. Hypocycloidal curve
5. Epicycloidal curve
6. Cycloidal motion
7. Cycloidal generator
8. Cycloidal gear train
9. Cycloidal mechanism
10. Cycloidal cam