Question

During their physics field trip to the amusement park, Tyler and Maria took a rider on the Whirligig. The Whirligig ride consists of long swings which spin in a circle at relatively high speeds. As part of their lab, Tyler and Maria estimate that the riders travel through a circle with a radius of 6.5 m and make one turn every 5.8 seconds. Determine the speed of the riders on the Whirligig.

Answer 1

Speed = 7.04434 m/s

Step-by-step explanation:

Given that:

The radius of the circle = 6.5 m

The expression for the calculation of circumference is shown below as:

`Circumference=2* \pi * radius`

Thus,

`Circumference=2* (22)/(7) * 6.5\ m=40.8572\ m`

Time taken = 5.8 seconds.

Thus, The speed is:

`Speed=(Circumference)/(Time\ Taken)`

So,

`Speed=(40.8572)/(5.8)\ m/s`

Speed = 7.04434 m/s

Answer 2

The speed will be 7.04 m/s.

Step-by-step explanation:

Radius of the circle = r = 6.5 m/s

Time taken for every turn = t = 5.8 s

Distance covered by the rider = s = Circumference of circle = 2πr = 2π(6.5) = 40.84 m

Speed is defined as:

Speed = v = distance covered/time = S/t = 40.84/5.8 = 7.04 m/s