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Number of cusps of hypocycloid Solution

STEP 0: Pre-Calculation Summary
Formula Used
number_of_cusps = Radius 1/Radius 2
n = r1/r2
This formula uses 2 Variables
Variables Used
Radius 1 - Radius 1 is a radial line from the focus to any point of a curve. (Measured in Meter)
Radius 2 - Radius 2 is a radial line from the focus to any point of a curve. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Radius 1: 11 Meter --> 11 Meter No Conversion Required
Radius 2: 13 Meter --> 13 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
n = r1/r2 --> 11/13
Evaluating ... ...
n = 0.846153846153846
STEP 3: Convert Result to Output's Unit
0.846153846153846 --> No Conversion Required
FINAL ANSWER
0.846153846153846 <-- Number of cusps
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Lateral Surface Area of a Conical Frustum
lateral_surface_area = pi*(Radius 1+Radius 2)*sqrt((Radius 1-Radius 2)^2+Height^2) Go
Volume of a Conical Frustum
volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go
Moment of Inertia of a solid sphere about its diameter
moment_of_inertia = 2*(Mass*(Radius 1^2))/5 Go
Moment of inertia of a circular disc about an axis through its center and perpendicular to its plane
moment_of_inertia = (Mass*(Radius 1^2))/2 Go
Moment of Inertia of a right circular solid cylinder about its symmetry axis
moment_of_inertia = (Mass*(Radius 1^2))/2 Go
Moment of Inertia of a spherical shell about its diameter
moment_of_inertia = 2*(Mass*(Radius 1))/3 Go
Moment of Inertia of a right circular hollow cylinder about its axis
moment_of_inertia = (Mass*(Radius 1)^2) Go
Moment of inertia of a circular ring about an axis through its center and perpendicular to its plane
moment_of_inertia = Mass*(Radius 1^2) Go
Base Surface Area of a Conical Frustum
base_surface_area = pi*(Radius 2)^2 Go
Top Surface Area of a Conical Frustum
top_surface_area = pi*(Radius 1)^2 Go
Area of a Torus
area = pi^2*(Radius 2^2-Radius 1^2) Go

Number of cusps of hypocycloid Formula

number_of_cusps = Radius 1/Radius 2
n = r1/r2

What is a hypocycloid?

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. Any hypocycloid with an integral value of k, and thus k cusps, can move snugly inside another hypocycloid with k+1 cusps, such that the points of the smaller hypocycloid will always be in contact with the larger. This motion looks like 'rolling', though it is not technically rolling in the sense of classical mechanics, since it involves slipping.

How to Calculate Number of cusps of hypocycloid?

Number of cusps of hypocycloid calculator uses number_of_cusps = Radius 1/Radius 2 to calculate the Number of cusps, The Number of cusps of hypocycloid formula is defined as the number of curves made by the small circle of hypocycloid, where radius_1 = radius of large circle of hypocycloid , radius_2 = radius of small circle of hypocycloid. Number of cusps and is denoted by n symbol.

How to calculate Number of cusps of hypocycloid using this online calculator? To use this online calculator for Number of cusps of hypocycloid, enter Radius 1 (r1) and Radius 2 (r2) and hit the calculate button. Here is how the Number of cusps of hypocycloid calculation can be explained with given input values -> 0.846154 = 11/13.

FAQ

What is Number of cusps of hypocycloid?
The Number of cusps of hypocycloid formula is defined as the number of curves made by the small circle of hypocycloid, where radius_1 = radius of large circle of hypocycloid , radius_2 = radius of small circle of hypocycloid and is represented as n = r1/r2 or number_of_cusps = Radius 1/Radius 2. Radius 1 is a radial line from the focus to any point of a curve and Radius 2 is a radial line from the focus to any point of a curve.
How to calculate Number of cusps of hypocycloid?
The Number of cusps of hypocycloid formula is defined as the number of curves made by the small circle of hypocycloid, where radius_1 = radius of large circle of hypocycloid , radius_2 = radius of small circle of hypocycloid is calculated using number_of_cusps = Radius 1/Radius 2. To calculate Number of cusps of hypocycloid, you need Radius 1 (r1) and Radius 2 (r2). With our tool, you need to enter the respective value for Radius 1 and Radius 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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