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Need help solving this step-by -step Not sure of the subject of mathematics however, if you can identify this and let me know as well :)

Need help solving this step-by -step Not sure of the subject of mathematics however-example-1
User Hlex
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1 Answer

23 votes
23 votes

ANSWER :

18.8 inches per second

EXPLANATION :

The ferris wheel completes 7 revolutions in 14 minutes.

So we can say that the ferris wheel completes 1 revolution in 14/7 = 2 minutes.

Note that the circumference formula of a circle is :


C=2\pi r

This is the distance travelled in one revolution.

So we need to find the circumference of the circle in inches.

The ferris wheel has a radius of 30 feet.

Convert 30 feet into inches :


30\cancel{ft}*\frac{12in}{1\cancel{ft}}=360in

Using the formula above :


\begin{gathered} C=2\pi r \\ C=2\pi(360) \\ C=2261.947in \end{gathered}

Now we have the time and the distance travelled.

The velocity is distance divided by the time.

The time is in minutes. So we need to convert it to seconds.


2\cancel{min}*\frac{60sec}{1\cancel{min}}=120sec

So we have time = 120 secs and the distance is 2261.947 inches

The velocity is :


\begin{gathered} v=(2261.947)/(120) \\ v=18.8\text{ inches per second} \end{gathered}

User Basit Raza
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