Question

a person is moving on a circular track of radius 100m. the displacement of the person in covering 5/6 circumference is​

Answer 1

Radius = 100 m

Radius = 100 mSolving for the distance traveled

Radius = 100 mSolving for the distance traveleddistance = 0.75 * 2 * pi * 100 m

Radius = 100 mSolving for the distance traveleddistance = 0.75 * 2 * pi * 100 mdistance = 150 * pi

Radius = 100 mSolving for the distance traveleddistance = 0.75 * 2 * pi * 100 mdistance = 150 * pidistance = 471.24 m

Radius = 100 mSolving for the distance traveleddistance = 0.75 * 2 * pi * 100 mdistance = 150 * pidistance = 471.24 mSolving for the displacement. (Please refer to the attached picture.)

Radius = 100 mSolving for the distance traveleddistance = 0.75 * 2 * pi * 100 mdistance = 150 * pidistance = 471.24 mSolving for the displacement. (Please refer to the attached picture.)The starting point is at A and stop at B to complete 3/4 revolution clockwise. The displacement is line segment AB or the diagonal of the right triangle d. Using Pythagorean theorem, the measure of the diagonal d is solved using the formula:

Radius = 100 mSolving for the distance traveleddistance = 0.75 * 2 * pi * 100 mdistance = 150 * pidistance = 471.24 mSolving for the displacement. (Please refer to the attached picture.)The starting point is at A and stop at B to complete 3/4 revolution clockwise. The displacement is line segment AB or the diagonal of the right triangle d. Using Pythagorean theorem, the measure of the diagonal d is solved using the formula:d^2 = r^2 + r^2

Radius = 100 mSolving for the distance traveleddistance = 0.75 * 2 * pi * 100 mdistance = 150 * pidistance = 471.24 mSolving for the displacement. (Please refer to the attached picture.)The starting point is at A and stop at B to complete 3/4 revolution clockwise. The displacement is line segment AB or the diagonal of the right triangle d. Using Pythagorean theorem, the measure of the diagonal d is solved using the formula:d^2 = r^2 + r^2d^2 = 2 * r^2

Radius = 100 mSolving for the distance traveleddistance = 0.75 * 2 * pi * 100 mdistance = 150 * pidistance = 471.24 mSolving for the displacement. (Please refer to the attached picture.)The starting point is at A and stop at B to complete 3/4 revolution clockwise. The displacement is line segment AB or the diagonal of the right triangle d. Using Pythagorean theorem, the measure of the diagonal d is solved using the formula:d^2 = r^2 + r^2d^2 = 2 * r^2d^2 = 2 * (100 m)^2

Radius = 100 mSolving for the distance traveleddistance = 0.75 * 2 * pi * 100 mdistance = 150 * pidistance = 471.24 mSolving for the displacement. (Please refer to the attached picture.)The starting point is at A and stop at B to complete 3/4 revolution clockwise. The displacement is line segment AB or the diagonal of the right triangle d. Using Pythagorean theorem, the measure of the diagonal d is solved using the formula:d^2 = r^2 + r^2d^2 = 2 * r^2d^2 = 2 * (100 m)^2d = sqrt (2 * 100 * 100)

Radius = 100 mSolving for the distance traveleddistance = 0.75 * 2 * pi * 100 mdistance = 150 * pidistance = 471.24 mSolving for the displacement. (Please refer to the attached picture.)The starting point is at A and stop at B to complete 3/4 revolution clockwise. The displacement is line segment AB or the diagonal of the right triangle d. Using Pythagorean theorem, the measure of the diagonal d is solved using the formula:d^2 = r^2 + r^2d^2 = 2 * r^2d^2 = 2 * (100 m)^2d = sqrt (2 * 100 * 100)d = sqrt (2) * 100 m

Radius = 100 mSolving for the distance traveleddistance = 0.75 * 2 * pi * 100 mdistance = 150 * pidistance = 471.24 mSolving for the displacement. (Please refer to the attached picture.)The starting point is at A and stop at B to complete 3/4 revolution clockwise. The displacement is line segment AB or the diagonal of the right triangle d. Using Pythagorean theorem, the measure of the diagonal d is solved using the formula:d^2 = r^2 + r^2d^2 = 2 * r^2d^2 = 2 * (100 m)^2d = sqrt (2 * 100 * 100)d = sqrt (2) * 100 md = 141.4 m

Radius = 100 mSolving for the distance traveleddistance = 0.75 * 2 * pi * 100 mdistance = 150 * pidistance = 471.24 mSolving for the displacement. (Please refer to the attached picture.)The starting point is at A and stop at B to complete 3/4 revolution clockwise. The displacement is line segment AB or the diagonal of the right triangle d. Using Pythagorean theorem, the measure of the diagonal d is solved using the formula:d^2 = r^2 + r^2d^2 = 2 * r^2d^2 = 2 * (100 m)^2d = sqrt (2 * 100 * 100)d = sqrt (2) * 100 md = 141.4 mThe distance traveled is equal to 471.24 m while the magnitude of the displacement is equal to 141.42 m.

Answer 2

The displacement of person is 141 meters.

Given - Radius

Find - Displacement

Solution - Displacement is the shortest distance between two points. So, when the person covers 5/6th circumference, we will join the initial point with final point.

Further joining these two points with the radius. This will form a Pythagoras theorem. Now, finding the distance to get the value of displacement.

Hypotenuse² = Base² + Perpendicular²

Hypotenuse² = 100² + 100²

Hypotenuse² = 20,000

Displacement = ✓20,000

Displacement = 141 meters

Hence, the displacement of person is 141 meters.

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