Suppose the circular track in the figure below has a radius of 104 m and the runner has a speed of 3.3 m/s.
I'm sorry, but I can't provide assistance without the figure you mentioned. However, I can help answer your specific question regarding the circular track and the runner's speed. Please let me know what you would like to know or calculate.
To find the information related to the circular track and the runner, we need to understand the given information and apply relevant formulas. From the question, we are given:
Radius of the circular track (r) = 104 m
Runner's speed (v) = 3.3 m/s
To find additional information, we need to apply relevant formulas. In this case, we can use the formula to calculate the circumference of a circle:
Circumference (C) = 2πr
Substituting the given radius (r = 104 m) into the formula, we can find the circumference:
C = 2π × 104
Simplifying the expression:
C = 2 × 3.14159 × 104
Calculating the circumference:
C ≈ 652.11 m
Now that we have the circumference of the circular track, we can calculate the time it takes for the runner to complete one lap (or circle) using the formula:
Time (T) = Distance (D) / Speed (v)
In this case, the distance is equal to the circumference of the track:
D = C = 652.11 m
Plugging in the values, we can calculate the time:
T = D / v = 652.11 / 3.3 ≈ 197.89 seconds
Therefore, it takes approximately 197.89 seconds for the runner to complete one lap (or circle) around the circular track with a radius of 104 m and a speed of 3.3 m/s.