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.
The magnitude of displacement is equal to distance traveled when motion is in a straight line.
Distance
wavelength
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
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
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.
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'.
When you run in a circle, your initial and final starting point is the same, which results in the displacement being zero. Keep in mind that your distance will NOT be zero.
If displacement of a particle is zero in a uniform circular motion, then the distance travelled by that particle is not zero, kinetic energy is constant, speed is constant and work done is zero
Displacement is a vector quantity while distance is a scalar quantity. so in case of displacement, it depends on final position. For example:- If a man walks on a circle, then if he completes one round then his displacement will be zero because the man is at same position as start position. But, his distance travelled will not be zero; it is equal to circumference of the circle.
Yes, displacement is how far are you from your original position. Therefore if you imagine walking around a circular path where you end up at the starting position, you've walked a certain distance however you havent been displaced (since your where you started).
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.
Distance is scalar. Displacement is a vector.