An object travels along a circular path of radius 70 m. After travelling half a revolution in 20s, find the average speed and average velocity of the object.
Answers
Answer:
Explanation:
Given,
- Radius of the path, r = 70 m
- Time taken, t = 20 s
To Find,
- Average speed and,
- Average velocity
Formula to be used,
- Average speed = Total distance covered/Total time taken
- Average velocity = Total displacement/Total time taken
Solution,
At 1st, we will find out,
Total distance travelled = 1/2 × Perimeter of the path
⇒ s = 1/2 × 2πr
⇒ s = πr
⇒ s = 22/7 × 70
⇒ s = 22 × 10
⇒ s = 220 m
Here, the distance travelled is 220 m.
Now, the displacement,
Total displacement = Diameter of the path
⇒ x = 2r
⇒ x = 2 × 70
⇒ x = 140 m
Here, the total displacement is 140 m.
Now, the average speed,
Average speed = Total distance covered/Total time taken
⇒ Average speed = 220/20
⇒ Average speed = 11 m/s
Hence, the Average speed is 11 m/s.
Now, Average velocity,
⇒ Average velocity = Total displacement/Total time taken
⇒ Average velocity = 140/20
⇒ Average velocity = 7 m/s
Hence, the Average velocity is 7 m/s.
Given :-
An object travels along a circular path of radius 70 m. After travelling half a revolution in 20s
To Find :-
Average speed and average velocity of the object.
Solution :-
Total distance covered = 2πr/2
Total distance covered = πr
Total distance covered = 22/7 × 70
Total distance covered = 22 × 10
Total distance covered = 220 m
Now
Avg. Speed = Total distance/Total time
Avg. Speed = 220/20
Avg. Speed = 22/2
Avg. Speed = 11 m/s
Now
Total displacement = Diameter of circular path
Total displacement = 2r
Total displacement = 2(70)
Total displacement = 140 m
Now
Avg. velocity = Total displacement/Total time
Avg. velocity = 140/20
Avg. velocity = 14/2
Avg. velocity = 7 m/s