An object moves in circular path of radius 7cm. find the distance and displacement when it moves :
a)Half revolution.
B)three quarter revolution.
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Distance: Total length of the path
Displacement: Shortest Distance between initial and final position
[A] Half revolution
Distance = πR = (22/7) × 7 cm = 22 cm
Displacement = 2r = 2 × 7 cm = 14 cm
[B] Three quarter revolution
Distance = (3/4) × 2πR = (3/4) × (2 × (22/7) × 7 cm) = 33 cm
Displacement = √(R² + R²) = R√2 = 7√2 cm
Displacement: Shortest Distance between initial and final position
[A] Half revolution
Distance = πR = (22/7) × 7 cm = 22 cm
Displacement = 2r = 2 × 7 cm = 14 cm
[B] Three quarter revolution
Distance = (3/4) × 2πR = (3/4) × (2 × (22/7) × 7 cm) = 33 cm
Displacement = √(R² + R²) = R√2 = 7√2 cm
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