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

Answer:

Speed = 7.04434 m/s

Explanation:

Given that:

The radius of the circle = 6.5 m

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

$Circumference=2\times \pi \times radius$

Thus,

$Circumference=2\times \frac{22}{7} \times 6.5\ m=40.8572\ m$

Time taken = 5.8 seconds.

Thus, The speed is:

$Speed=\frac{Circumference}{Time\ Taken}$

So,

$Speed=\frac{40.8572}{5.8}\ m/s$

Speed = 7.04434 m/s

Answer 2

Answer:

The speed will be 7.04 m/s.

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