double of the radius means equal to diameter
Distance covered - 2199m Displacement - 200m Distance covered - 2199m Displacement - 200m
After traversing 1/2 of a circular track with radius 'R', the body has effectively moved from one end of a diameter to the other end of the same diameter. The distance traveled is 1/2 the circumference = (pi)D/2 = (pi)R. The displacement is D = 2R. The ratio of displacement to distance = (2R)/(piR) = 2/pi= 0.63662 (rounded), independent of 'R'.
Athlete covers 2pi radians in 40 s. So angular velocity = pi / 20 rad/s Hence the velocity = r w r = 100 m. So v = 5 pi m/s Hence the distance covered in 2 min 20 s ie 140 s = 700 pi metre. Displacement is the shortest distance between initial and final position In 140 s, 3 full rotation and one half rotation. So the he will be diametrically opposite. Hence the displacement is equal to 200 m ie diameter of the circular track.
Distance
The magnitude of displacement is equal to distance traveled when motion is in a straight line.
The distance traveled by the body when it completes half a revolution along a circular path of radius R is equal to the circumference of half the circle, which is πR. The displacement of the body would be zero as it returns to the same starting point after completing half a revolution.
The displacement of a satellite when it completes one round along its circular path is zero. This is because the displacement is the shortest distance between the starting and ending points, and in a circular path, the starting and ending points are the same.
Displacement is the straight-line distance between the starting and ending points. The displacement in the course of one complete revolution is zero.
Distance covered - 2199m Displacement - 200m Distance covered - 2199m Displacement - 200m
Sure. As one car goes around a circle and as it completes one full rotation, then distance covered by the car is the circumference of the circle. But the displacement is Zero. So distance but no displacement.
In a circular motion, the net displacement of an object over one complete revolution is zero because it ends up back where it started. Even though the object may have traveled a certain distance around the circle, its final position is the same as its initial position.
http://wiki.answers.com/Q/An_object_has_moved_though_a_distance_can_it_have_zero_displacement_it_yes_support_your_answer_with_an_example" Yes If a body travel a distance S from X to Y and return to X then distance travelled is 2S but displacement is zero In a uniform circular motion, the distance travelled by a body in one revolution is 2Ï€r but displacement is zero
when the body moves circularly from a point 'A' to a then the displacement will be zero(displacement is the shortest diatance from the initial point to final point) and the distance will not be zero.
After traversing 1/2 of a circular track with radius 'R', the body has effectively moved from one end of a diameter to the other end of the same diameter. The distance traveled is 1/2 the circumference = (pi)D/2 = (pi)R. The displacement is D = 2R. The ratio of displacement to distance = (2R)/(piR) = 2/pi= 0.63662 (rounded), independent of 'R'.
This may happen when the particle moves back and forth.
The distance is how far the object travels in total, the displacement is how far the object is from its starting position as the crow flys. e.g. if you leave your house and walk 5 miles to the shop and then 5 miles back home again. your distance traveled will be 10 miles but your displacement will be 0.
No, in a circular path, your displacement is zero because you return to your starting point. However, the distance you traveled around the circle would be the circumference of the circle.