Question

question 12 (probelm reference 5 - 2) the ferris wheel at a county fair has a radius of 32.0 m. each of the gondolas on the wheel takes 1.00 minute to complete one revolution when it is running at full speed. ignore gravitational effects. what is the uniform speed of a gondola when the ferris wheel is running at full speed? 16.0 m/s 201 m/s 3.35 m/s 0.0313 m/s

Explanation:

Step1: Calculate the circumference

The formula for the circumference of a circle is $C = 2\pi r$. Given $r = 32.0$ m, so $C=2\pi\times32.0\approx 2\times3.14\times32.0 = 200.96$ m.

Step2: Convert time to seconds

The time taken for one - revolution $t = 1.00$ minute. Since 1 minute = 60 seconds, $t = 60$ s.

Step3: Calculate the speed

The speed formula is $v=\frac{d}{t}$, where $d$ is the distance traveled (circumference in one - revolution) and $t$ is the time. So $v=\frac{200.96}{60}\approx 3.35$ m/s.

Answer:

3.35 m/s