A Ferris wheel at an amusement park having a diameter of 14 m completes one rotation in 45 s.

(a) What is the rotational speed of this Ferris wheel in revolution per minute and in degrees per second?

rotation speed: 1rev/.75min divide that out, should be something like 1.33rev/min

ok, but how do i get degrees per second?

To find the rotational speed of the Ferris wheel in revolutions per minute (RPM), you need to determine how many revolutions it completes in one minute.

Firstly, let's convert the time it takes for one full rotation from seconds to minutes:

45 seconds ÷ 60 seconds/minute = 0.75 minutes

Since the Ferris wheel completes one rotation in 0.75 minutes, its rotational speed in RPM is:

1 rotation ÷ 0.75 minutes = 1.33 RPM (rounded to two decimal places)

Therefore, the rotational speed of the Ferris wheel is approximately 1.33 revolutions per minute.

Now, let's find the rotational speed in degrees per second. Since one revolution is equal to 360 degrees, we can calculate the rotational speed as:

360 degrees ÷ 45 seconds = 8 degrees per second

Therefore, the rotational speed of the Ferris wheel is 8 degrees per second.

To summarize:

Rotational speed of the Ferris wheel:
- In revolutions per minute (RPM): approximately 1.33 RPM
- In degrees per second: 8 degrees per second