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'.
Distance covered - 2199m Displacement - 200m Distance covered - 2199m Displacement - 200m
double of the radius means equal to diameter
The distance around a circle is its circumference
The word for the distance around a circle is "circumference".
No. Diameter is the distance across. Circumference is the distance around.
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.
Yes, a body can have distance without displacement. For example, if a car drives in a circular track and returns to its starting point, it will have covered a certain distance during the trip, but its displacement will be zero since it ended up at the same position where it started.
Distance covered - 2199m Displacement - 200m Distance covered - 2199m Displacement - 200m
If the circumference of the object's circular path is given, you can find the distance traveled by using the formula: distance = circumference. Displacement, on the other hand, is the shortest distance between the initial and final points, which can be less than the circumference depending on the path taken.
distance = 1/2 circumference displacement = 2 r (special case because exactly half of the circle was travelled) circumference = 2*pi*r 1/2 circumference = 1/2*2*pi*r = pi * r
Displacement is the straight-line distance between the starting and ending points. The displacement in the course of one complete revolution is zero.
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.
Not necessarily. Displacement looks at the change in position from the start to end points regardless of the path taken, while distance traveled looks at the actual path length. If the object moves back and forth within the interval, the displacement could be zero but the distance traveled would not be zero.
No, displacement and distance traveled are not always equal. Displacement is the shortest distance between the initial and final positions, whereas distance traveled takes into account the total path taken regardless of direction.
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.
Yes distance will be equal or more than the magnitude of displacement. Distance cannot be less than the magnitude of displacement in any way. For example if a body goes around a circle completing one full round then distance covered will be the circumference ie 2pi r But displacement is zero. As the starting and stopping point are one and the same, the distance between initial and final is zero.
If an object moves in a circular path and returns to its starting point, the displacement is zero because the final position is the same as the initial position. However, the distance traveled along the circular path is not zero, it is equal to the circumference of the circle.