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Related Concept Videos

Circles01:18

Circles

A circle in the coordinate plane is defined as the set of all points that lie at a constant distance, known as the radius, from a fixed point called the center. This relationship is captured using the distance formula. For a point (x, y) on the circle and a center (h, k), the distance between them equals the radius r. By squaring both sides of the distance formula, the equation of the circle is written in standard form:Constructing the Equation from Geometric InformationIf the center and the...
Non-uniform Circular Motion01:22

Non-uniform Circular Motion

In uniform circular motion, the particle executing circular motion has a constant speed, and the circle is at a fixed radius. However, not all circular motion occurs at a constant speed. A particle can travel in a circle and speed up or slow down, showing an acceleration in the direction of motion. In that case, the motion is called non-uniform circular motion, and an additional acceleration is introduced, which is in the direction tangential to the circle. 
For example, such accelerations...
Uniform Circular Motion01:14

Uniform Circular Motion

Uniform circular motion is a specific type of motion in which an object travels in a circle with a constant speed. For example, any point on a propeller spinning at a constant rate is undergoing uniform circular motion. The second, minute, and hour hands of a watch also undergo uniform circular motion. It is hard to believe that points on these rotating objects are actually accelerating, even though the rotation rate is constant. To understand this, we must analyze the motion in terms of...
Dynamics of Circular Motion01:30

Dynamics of Circular Motion

An object undergoing circular motion, like a race car, is accelerating because it is changing the direction of its velocity. This centrally directed acceleration is called centripetal acceleration. This acceleration acts along the radius of the curved path (thus is also referred to as radial acceleration).
Any acceleration must be produced by some force. Therefore, any force or combination of forces can cause centripetal acceleration. A few examples include the tension in the rope on a...
Mohr's Circle for Moments of Inertia01:10

Mohr's Circle for Moments of Inertia

Mohr's circle is a graphical method to determine an area's principal moments of inertia by plotting the moments and product of inertia on a rectangular coordinate system.
Hückel's Rule Diagram of π MOs: Frost Circle01:08

Hückel's Rule Diagram of π MOs: Frost Circle

The Frost circle or the inscribed polygon method is a graphical method for determining the relative energies of π molecular orbitals (MOs) for planar, fully conjugated, and monocyclic compounds. This method was first described by A. A. Frost and Boris Musulin in 1953.
A Frost circle is constructed by drawing a polygon whose number of edges is equal to the number of carbons of the given cyclic system, with one of the vertices pointing down. Then, a circle is drawn enclosing the polygon so that...

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Related Experiment Video

Updated: May 29, 2026

A Training Program Using an Agility Ladder for Community-Dwelling Older Adults
14:13

A Training Program Using an Agility Ladder for Community-Dwelling Older Adults

Published on: March 7, 2020

Marching in a circle.

Henry M Plawecki

    Journal of Gerontological Nursing
    |September 1, 2011
    PubMed
    Summary

    The United States must address the growing needs of its aging population, facing threats from frailty and depleted resources. Proactive, funded programs are essential to prevent a national healthcare crisis.

    Area of Science:

    • Gerontology and Public Health
    • Healthcare Policy and Economics

    Background:

    • The United States faces a critical challenge with its expanding older adult population, marked by increased longevity and frailty.
    • Current governmental resources are strained, with inadequate Medicare/Medicaid reimbursements impacting healthcare providers.
    • This situation threatens the general welfare of the elderly, demanding immediate attention.

    Discussion:

    • A convergence of demographic shifts and financial constraints necessitates innovative solutions for elder care.
    • Ignoring the escalating needs of older adults poses significant risks to national healthcare infrastructure.
    • The current system requires a re-evaluation of funding models and service delivery for sustainable elder support.

    Key Insights:

    • The aging demographic presents a complex challenge requiring a multi-faceted approach.

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  • Financial sustainability of elder care services is a primary concern.
  • Urgent policy interventions are needed to support the health and welfare of older adults.

    • Outlook:

    • Developing pragmatic, needs-based programs is crucial for mitigating future healthcare burdens.
    • Leadership and innovation are vital to ensure the well-being of the aging population.
    • Failure to act decisively will result in severe, long-term national consequences.