I would like to understand why:
$$ s(t) = r \, \theta(t) $$
where $s$ is the curvilinear abscissa, $r$ the radius and $\theta$ the angle in circular motion.
Thank you for your time.
2026-03-25 11:12:10.1774437130
Curvilinear abscissa = radius * angle - Circular motion
1.1k Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in PHYSICS
- Why is the derivative of a vector in polar form the cross product?
- What is meant by input and output bases?
- Does Planck length contradict math?
- Computing relative error with ideal gas law.
- Planetary orbits in a $4$-dimensional universe
- Applied Maths: Equations of Motion
- Return probability random walk
- What will be the velocity of a photon ejected from the surface of cesium by a photon with a frequency of 6.12E14 s^-1?
- What mathematical principal allows this rearrangement during simplifying
- Time when velocity of object is zero and position at that point in time
Related Questions in EDUCATION
- Good ideas for communicating the joy of mathematics to nine and ten year olds
- Is method of exhaustion the same as numerical integration?
- How do you prevent being lead astray when you're working on a problem that takes months/years?
- Is there a formula containing index of π (exclude index 1)
- How deep do you have to go before you can contribute to the research frontier
- What are the mathematical topics most essential for an applied mathematician?
- i'm 15 and I really want to start learning calculus, I know geometry, a little trig, and algebra 1 and 2 what is the best way to go about this?
- How to self teach math? (when you have other academic commitments)
- The Ideal First Year Undergraduate Curriculum for a Mathematics Autodidact
- How to solve 1^n=1 for n=0?
Related Questions in ANGLE
- How to find 2 points in line?
- Why are radians dimensionless?
- A discrete problem about coordinates or angle?
- Converting from Yaw,Pitch,Roll to Vector
- How do I calculate the angle between this two vectors?
- Given points $P(0, 3, 0) \;\;\; Q(-3, 4, 2) \;\;\; R(-2, 9, 1) \;$ find the measure of ∠PQR
- How do I find this angle?
- Length of Line Between Concentric Circles Based on Skew of Line to Circles
- How to find the norm of this vector and the angles between him and other?
- Find the measure of ∠PRQ, with points $P(0, 3, 0) \;\;\; Q(-3, 4, 2) \;\;\; R(-2, 9, 1) \;$
Related Questions in CURVILINEAR-COORDINATES
- On the relationship between the volume element in curvilinear coordinates and the Jacobian
- Why are these two ways of evaluating the curl of a vector field not actually equivalent?
- Given $\alpha(x,y,z) = \alpha_1\hat x +\alpha_2 \hat y+\alpha_3 \hat z$, how to write in the coordinates $\hat r, \hat \theta, \hat \phi$
- Dot product in spherical coordinates
- Expressing contravariant basis vectors in terms of position vector
- Find the center of mass in 3D
- Transform vectors from cartesian coordinates to curve coordinate system [2d]
- Coordinate and Non-coordinate basis (Orthonormality and Orthogonality)
- Scale factors in orthogonal coordinate systems
- Path on a sphere
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?