An athlete completes two and half rotation in 20 seconds.Find average speed?
Explain briefly please!!
Answers
According to the Question :-
It is given that,
Athlete complete two and half rotation.
Time taken to complete the rotation ,t = 20s
we have to calculate the average speed of the athletes.
As we know that average Speed is calculated by total distance covered in total time taken.
Here, the athlete moves in circular path .
So, distance covered by athlete = 2πr
Distance covered by athlete in 2 and half rotation
= 2πr + 2πr + πr
= 5πr
Now, calculating the average Speed
• Average Speed = Total Distance/Total Time
by putting the value we get
➻ Average Speed = 5πr/20
➻ Average Speed = πr/4 m/s
•Hence, the average speed of the athlete is πr/4 m/s.
Answer:
πr/4 m/s
Explanation:
As per the provided information in the given question, we have:
- An athlete completes two and half rotation.
- Time taken to complete the rotation= 20 sec
We've been asked to calculate the average speed of the athlete.
"Average speed" is calculated by dividing total distance by total time taken. So, in order to calculate the average speed, firstly we need to calculate the total distance travelled by the athlete.
As the athlete is covering distance in a circular tract. So, the first rotation completed by the athlete is equal to the circumference of the circle.
Circumference of the circle is twice the product of pi and radius of the circle.
– Now, according to the question, the athlete completes two and half round. So,
Performing division and multiplication in order to calculate the total distance.
Performing addition.
Here, we have calculated the total distance that is 5πr. Let us calculate the average speed of the athlete.
Equating total distance and total time in order to perform division.
Performing division in order to calculate the average speed of the athlete.
❝ Therefore, average speed of the athlete is πr/4 m/s. ❞