The inclination (tilt) of an amusement park ride is accelerating at a rate of 2160(" degrees ")/(min2). What is the ride's acceleration rate in (" degrees ")/(s^(2)) ? (" degrees ")/(s^(2))

Convert time units: To convert the acceleration rate from degrees per minute squared to degrees per second squared, we need to know how many seconds are in one minute.Square seconds in a minute: There are 60 seconds in one minute. To convert from minutes squared to seconds squared, we square the number of seconds in one minute. $ (60 \text{ seconds})^2 = 3600 \text{ seconds}^2 $Divide by seconds squared: Now we divide the given acceleration rate by the number of seconds squared in one minute squared to find the acceleration rate in degrees per second squared. Acceleration rate in degrees per second squared = $ \frac{2160 \text{ degrees per minute}^2}{3600 \text{ seconds}^2} $Perform division: Perform the division to find the acceleration rate in degrees per second squared. Acceleration rate in degrees per second squared = $ \frac{2160}{3600} \text{ degrees per second}^2 $Simplify fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 3600. Acceleration rate in degrees per second squared = $ \frac{2160}{3600} $ = $ \frac{3}{5} \text{ degrees per second}^2 $

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The inclination (tilt) of an amusement park ride is accelerating at a rate of
2160(" degrees ")/(min2).
What is the ride's acceleration rate in
(" degrees ")/(s^(2)) ?

(" degrees ")/(s^(2))

The inclination (tilt) of an amusement park ride is accelerating at a rate of $2160 \frac{\text { degrees }}{\min ^{2}}$ . $\newline$ What is the ride's acceleration rate in $\frac{\text { degrees }}{\mathrm{s}^{2}}$ ? $\newline$ $\square$ $\frac{\text { degrees }}{\mathrm{s}^{2}}$

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Algebra 1

Convert rates and measurements: customary units

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Q. The inclination (tilt) of an amusement park ride is accelerating at a rate of

2160 \frac{\text { degrees }}{\min ^{2}}

\newline

What is the ride's acceleration rate in

\frac{\text { degrees }}{\mathrm{s}^{2}}

\newline

\square

\frac{\text { degrees }}{\mathrm{s}^{2}}

Convert time units: To convert the acceleration rate from degrees per minute squared to degrees per second squared, we need to know how many seconds are in one minute.
Square seconds in a minute: There are $60$ seconds in one minute. To convert from minutes squared to seconds squared, we square the number of seconds in one minute. $\newline$ $(60 \text{ seconds})^2 = 3600 \text{ seconds}^2$
Divide by seconds squared: Now we divide the given acceleration rate by the number of seconds squared in one minute squared to find the acceleration rate in degrees per second squared. $\newline$ Acceleration rate in degrees per second squared = $\frac{2160 \text{ degrees per minute}^2}{3600 \text{ seconds}^2}$
Perform division: Perform the division to find the acceleration rate in degrees per second squared. $\newline$ Acceleration rate in degrees per second squared = $\frac{2160}{3600} \text{ degrees per second}^2$
Simplify fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is $3600$ . $\newline$ Acceleration rate in degrees per second squared = $\frac{2160}{3600}$ = $\frac{3}{5} \text{ degrees per second}^2$