A jogger jogs around a circular track with a diameter of 325 m in 10. minutes. What was the jogger's average speed in m/s?
A jogger jogs around a circular track with a diameter of 325 m in 13. minutes. What was the jogger's average speed in m/s?
pir2 = 3.14 x 325 m = 1021.0176m
t = 10mins (60seconds) = 600s
speed = d / t
= 1021.0176m/600s
= 1.7017m/s
pir2 = 3.14 x (325/2) m = 1656.25m
t = 13 mins (60 seconds) = 780s
speed = d / t
= 1656.25m/780s
= 2.1218m/s
Therefore, the jogger's average speed was 2.1218 m/s.
To find the jogger's average speed, we need to calculate the total distance covered and the time taken.
First, let's calculate the circumference of the circular track using the formula C = π * d, where C represents the circumference and d represents the diameter.
Given that the diameter is 325 m, we can calculate the circumference as follows:
C = π * 325 m
C ≈ 3.14 * 325 m
C ≈ 1019.5 m
Since the jogger is jogging around the track once, the total distance covered is equal to the circumference of the track, which is approximately 1019.5 m.
Next, let's calculate the time taken. We are given that the jogger completes the jog in 10 minutes.
Now, to find the average speed, we divide the total distance covered by the time taken, using the formula speed = distance / time.
Average speed = Total distance covered / Time taken
Average speed = 1019.5 m / 10 min
Notice that the time is given in minutes, but we want the speed in m/s. So we need to convert the time from minutes to seconds.
1 minute = 60 seconds
10 minutes = 10 * 60 seconds
10 minutes = 600 seconds
Now, let's do the calculation:
Average speed = 1019.5 m / 600 s
Average speed ≈ 1.699 m/s
Therefore, the jogger's average speed is approximately 1.699 m/s.