A carousel has a radius of 17 ft and takes 28 seconds to make one complete revolution. What is the linear speed of the carousel at its outside edge?

Yair Valentine
2022-08-07
Answered

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Dereon Parker

Answered 2022-08-08
Author has **11** answers

Total distance is $2\pi r$ (circumference of carousel because its a circle)and it is done in 28 seconds. So divide the two and you willhave the linear velocity

$2\pi (17)ft/28s=3.81ft/s$

$2\pi (17)ft/28s=3.81ft/s$

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Verify the given linear approximation at $a=0$. Then determine the values of $x$ for which the linear approximation is accurate to within $0.1$

$1/(1+2x{)}^{4}\approx 1\u20138x$

how do I determine its accuracy?

$1/(1+2x{)}^{4}\approx 1\u20138x$

how do I determine its accuracy?

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You're measuring the velocity of an object by measuring that it takes $1$ second to travel $1.2$ meters. The measurement error is $001$ meters in distance and the error in time is $01$ second.

What is the absolute value of the error in the linear approximation for the velocity?

What is the absolute value of the error in the linear approximation for the velocity?

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Proceed estimating this quantity using Linear Approximation

$\frac{1}{\sqrt{95}}}-{\displaystyle \frac{1}{\sqrt{99}}$

$\frac{1}{\sqrt{95}}}-{\displaystyle \frac{1}{\sqrt{99}}$

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Linear approximation of quotient

$\frac{(2.01{)}^{2}}{\sqrt{.95}}$

$\frac{(2.01{)}^{2}}{\sqrt{.95}}$

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What is the linear approximation to $\mathrm{sin}(-0.5)$?