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A body moves along a circular path of radius 14 cm calculate distance and displacement when it covers
a. half the circle
b. one fourth circle
c. 2 rounds of the circle?
a. half the circle
b. one fourth circle
c. 2 rounds of the circle?
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A body moves along a circular path of radius 14 cm calculate distance ...
Calculating Distance and Displacement along a Circular Path
1. Half the Circle
- When the body covers half the circle, it travels a distance equal to the circumference of half the circle.
- Distance = Circumference of half circle = π * radius = π * 14 cm ≈ 43.98 cm
- Displacement is the straight line distance between the initial and final positions.
- Displacement = Diameter of half circle = 2 * radius = 2 * 14 cm = 28 cm
2. One Fourth of the Circle
- When the body covers one-fourth of the circle, it travels a distance equal to the circumference of one-fourth of the circle.
- Distance = Circumference of one-fourth circle = π * radius / 2 = π * 14 cm / 2 ≈ 21.99 cm
- Displacement is the straight line distance between the initial and final positions.
- Displacement = Diameter of one-fourth circle = 2 * radius = 2 * 14 cm = 28 cm
3. Two Rounds of the Circle
- When the body covers two rounds of the circle, it travels a distance equal to the circumference of two circles.
- Distance = Circumference of two circles = 2 * π * radius = 2 * π * 14 cm ≈ 87.96 cm
- Displacement is the straight line distance between the initial and final positions, which will be zero as the body ends up at the starting point after completing two rounds.
In summary, when the body covers different fractions of the circular path, the distance traveled is calculated based on the circumference of the corresponding fraction, while the displacement is determined by the diameter of that fraction.
1. Half the Circle
- When the body covers half the circle, it travels a distance equal to the circumference of half the circle.
- Distance = Circumference of half circle = π * radius = π * 14 cm ≈ 43.98 cm
- Displacement is the straight line distance between the initial and final positions.
- Displacement = Diameter of half circle = 2 * radius = 2 * 14 cm = 28 cm
2. One Fourth of the Circle
- When the body covers one-fourth of the circle, it travels a distance equal to the circumference of one-fourth of the circle.
- Distance = Circumference of one-fourth circle = π * radius / 2 = π * 14 cm / 2 ≈ 21.99 cm
- Displacement is the straight line distance between the initial and final positions.
- Displacement = Diameter of one-fourth circle = 2 * radius = 2 * 14 cm = 28 cm
3. Two Rounds of the Circle
- When the body covers two rounds of the circle, it travels a distance equal to the circumference of two circles.
- Distance = Circumference of two circles = 2 * π * radius = 2 * π * 14 cm ≈ 87.96 cm
- Displacement is the straight line distance between the initial and final positions, which will be zero as the body ends up at the starting point after completing two rounds.
In summary, when the body covers different fractions of the circular path, the distance traveled is calculated based on the circumference of the corresponding fraction, while the displacement is determined by the diameter of that fraction.
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A body moves along a circular path of radius 14 cm calculate distance and displacement when it covers a. half the circleb. one fourth circlec. 2 rounds of the circle?
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A body moves along a circular path of radius 14 cm calculate distance and displacement when it covers a. half the circleb. one fourth circlec. 2 rounds of the circle? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A body moves along a circular path of radius 14 cm calculate distance and displacement when it covers a. half the circleb. one fourth circlec. 2 rounds of the circle? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body moves along a circular path of radius 14 cm calculate distance and displacement when it covers a. half the circleb. one fourth circlec. 2 rounds of the circle?.
A body moves along a circular path of radius 14 cm calculate distance and displacement when it covers a. half the circleb. one fourth circlec. 2 rounds of the circle? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A body moves along a circular path of radius 14 cm calculate distance and displacement when it covers a. half the circleb. one fourth circlec. 2 rounds of the circle? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body moves along a circular path of radius 14 cm calculate distance and displacement when it covers a. half the circleb. one fourth circlec. 2 rounds of the circle?.
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