## What is epicycloid in engineering drawing?

An epicycloid is a plane curveplane curveIn mathematics, a plane curve is a curve in a plane that may be either a Euclidean plane, an affine plane or a projective plane. The most frequently studied cases are smooth plane curves (including piecewise smooth plane curves), and algebraic plane curves.https://en.wikipedia.org › wiki › Plane_curvePlane curve – Wikipedia created by tracing a chosen point on the edge of a circle of radius r rolling on the outside of a circle of radius R. A hypocycloid is obtained similarly except that the circle of radius r rolls on the inside of the circle of radius R.

**How do you draw an epicycloid step by step?**

Step one draw line o PC such that au P equals 75 mm and PC equals 25 mm. Step 2 takes es Center draw a circle of radius 25 mm. Step 3 through point P draw an arc.

### What does Cyclcy epicycloid and hypocycloid mean?

Related curves

Hypocycloid: variant of a cycloid in which a circle rolls on the inside of another circle instead of a line. Epicycloid: variant of a cycloid in which a circle rolls on the outside of another circle instead of a line.

**How do you calculate an epicycloid angle?**

The parametric equations are: x=(r+R)cosθ−rcos[(r+R)θr], y=(r+R)sinθ−rsin[(r+R)θr], where r is the radius of the rolling and R that of the fixed circle, and θ is the angle between the radius vector of the point of contact of the circles (see Fig.

## What is epicycloid curve?

In geometry, an epicycloid is a plane curve produced by tracing the path of a chosen point on the circumference of a circle—called an epicycle—which rolls without slipping around a fixed circle.

**What is the difference between epicycloid and hypocycloid?**

Epicycloid is generated by a circle rolled outside of another circle, whereas a hypocycloid is circle rolled inside another circle.

### What is RF in engineering drawing?

A representative fraction (RF) is the ratio of distance on the map to distance on the ground.

**What does hypocycloid mean?**

Definition of hypocycloid

: a curve traced by a point on the circumference of a circle rolling internally on the circumference of a fixed circle.

## What are the applications of epicycloid?

The multi- lobed epicycloid has sharply pointed cusps; therefore, a machine element performing an epicyclic motion can be utilized for performing operations requiring a corresponding action, like folding of flexible materials or feeding of components from a stack.

**How do you find the area of an epicycloid?**

If a = ( m − 1 ) b a = (m – 1)b a=(m−1)b where m is an integer, then the length of the epicycloid is 8 m b 8mb 8mb and its area is \pib 2 ( m 2 + m ) \pib^{2}(m^{2} + m) \pib2(m2+m). The pedal curve, when the pedal point is the centre, is a rhodonea curve.

### How can we construct cycloid hypocycloid and epicycloid?

Introduction to Cycloidal Curves (Cycloid, Epicycloid & Hypocycloid)

**What are the 3 types of scale?**

There are three types of scales commonly used on maps: written or verbal scale, a graphic scale, or a fractional scale. A written or verbal scale uses words to describe the relationship between the map and the landscape it depicts such as one inch represents one mile.

## What is VP and HP?

Following abbreviations, symbols and notation will be used in the entire course. VP. – Vertical plane. HP. – Horizontal plane.

**What is the formula for hypocycloid?**

If k is a rational number, say k = p/q expressed in simplest terms, then the curve has p cusps. If k is an irrational number, then the curve never closes, and fills the space between the larger circle and a circle of radius R − 2r.

### What is directing circle in hypocycloid?

A cycloid is a curve generated by a point on the circumference of the circle as the circle rolls along a straight line with out slipping.. The moving circle is called the “Generating circle” and the straight line is called the “Directing line” or the “Base line”.

**What is the use of engineering curves?**

USES OF ENGINEERING CURVES Useful by their nature & characteristics. Laws of nature represented on graph. Useful in engineering in understanding laws, manufacturing of various items, designing mechanisms analysis of forces, construction of bridges, dams, water tanks etc.

## How the angle θ is obtained of epicycloid and hypocycloid?

5. How the angle ᴓ θ is obtained of epicycloid and hypocycloid? Explanation: When r and R are the radii of the rolling and the generating circle, respectively, the hypocycloid is a plane curve generated by a point on the circumference of a circle, when it rolls without slipping on another circle and inside it.

**What is hypocycloid curve?**

In geometry, a hypocycloid is a special plane curve generated by the trace of a fixed point on a small circle that rolls within a larger circle. As the radius of the larger circle is increased, the hypocycloid becomes more like the cycloid created by rolling a circle on a line.

### What is ratio level?

The ratio level is the highest of four hierarchical levels of measurementlevels of measurementThere are 4 levels of measurement, which can be ranked from low to high: Nominal: the data can only be categorized. Ordinal: the data can be categorized and ranked. Interval: the data can be categorized and ranked, and evenly spaced. Ratio: the data can be categorized, ranked, evenly spaced and has a natural zero.https://www.scribbr.com › statistics › levels-of-measurementLevels of Measurement | Nominal, Ordinal, Interval and Ratio – Scribbr. The levels, or scales, of measurement indicate how precisely data is recorded. The higher the level, the more complex the measurement is. The ratio level contains all of the features of the other 3 levels.

**What are the 4 types of scales?**

Each of the four scales (i.e., nominal, ordinal, interval, and ratio) provides a different type of information. Measurement refers to the assignment of numbers in a meaningful way, and understanding measurement scales is important to interpreting the numbers assigned to people, objects, and events.

## What are the 3 planes of projection?

Principal Plane.

- Frontal Plane.
- Profile Plane.
- Horizontal Plane.

**What is HT and VT?**

• Horizontal Trace (HT) The real or imaginary line of intersection of a plane. with the HP is called horizontal trace of the plane. HT is always located in the TV. • Vertical Trace (VT) The real or imaginary line of intersection of a plane with. the VP is called vertical trace of the plane.

### What shape is a hypocycloid?

**How do you draw a hypocycloid?**

How to DRAW a HYPOCYCLOID CURVE? Engineering – YouTube

## What are the types of engineering drawing?

Engineering Drawing and Sketching

- Isometric Drawing.
- Orthographic or Multiview Drawings.
- Dimensioning.
- Sectioning.
- Drawing Tools.
- Assembly Drawings.
- Cross-Sectional Views.
- Half-Sections.