An object is moving in a circle of radius r. Calculate the distance and
displacement
a) When it completes half the circle
b) When it completes one full circle
Answers
Answer:
πr unit and 2πr unit, 0 unit
Explanation:
According to the given question,
Radius = r
And we are asked to find the distance and displacement in two cases.
Case-a)
When the object completes half of the circle it means that its at the opposite side of the circle from where it started.
Now in this case, distance = displacement according to the definition of distance and displacement.
Thus, we know that one full circle = 2πr
And so half of it = 2πr/2 = πr unit
Hence the answer of case a) is πr unit.
Case-b)
When the object completes it one full circle then according to the definition of distance and displacement,
Distance = Circumference of the circle, which is 2πr unit
And displacement = 0 unit
As the object comes back to the same position from where it started.
Therefore, the answer of case b) is 2πr unit and 0 unit.
Answer:
πr unit and 2πr unit, 0 unit
Explanation:
According to the given question,
Radius = r
And we are asked to find the distance and displacement in two cases.
Case-a)
When the object completes half of the circle it means that its at the opposite side of the circle from where it started.
Now in this case, distance = displacement according to the definition of distance and displacement.
Thus, we know that one full circle = 2πr
And so half of it = 2πr/2 = πr unit
Hence the answer of case a) is πr unit.
Case-b)
When the object completes it one full circle then according to the definition of distance and displacement,
Distance = Circumference of the circle, which is 2πr unit
And displacement = 0 unit
As the object comes back to the same position from where it started.
Therefore, the answer of case b) is 2πr unit and 0 unit.