Two Points on a Merry-Go-Round Are Located at Distances from the Center

question 34

Multiple Choice

Two points on a merry-go-round are located at distances from the center r₁ and r₂,where r₁ < r₂.While the merry-go-round is in the process of speeding up to operational speed,which of the following equations involving magnitudes of angular speed,angular acceleration,and tangential speed for these points is incorrect?

• A)ω₁ = ω₂
• B)α₁ = α₂
• C)vt₁ = vt₂
• D)All of the equations are correct.

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Definitions:

Independent Variables

Variables that are manipulated or categorized to determine their effect on other variables.

Quantity Minimized

Refers to the outcome of an optimization problem where the goal is to find the smallest possible value of a certain quantity.

Multiple Regression Model

A statistical technique that models the relationship between a dependent variable and multiple independent variables by fitting a linear equation to observed data.

Regression Slope Coefficients

The estimates that measure the relationship between the dependent variable and each independent variable in regression analysis.