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Step-by-step explanation:
✦Given:-
➨Radius = 50 cm \:
➨In 20 seconds the stone makes 10 revolutions.
➨In 1 seconds the revolution = 10/20 = 1/2 Hz
➨N = 1/2 Hz
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✦To Find:-
➨The magnitude of acceleration of the stone.
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✦Solution:-
Now,
✪( Let us use π as 3.14)✪
➨Angular Velocity ( ω ) = 2πn
➨ω= 2 × 3.14 × 50
✪ω = 314✪
➨Radial Acceleration = ω²r
➨Radial Acceleration = (3.14)² × 50 cm/s
➨Radial Acceleration = 492.98 cm/s = 493 cm/s
Hence, the magnitude of acceleration of the stone is 493 cm/s
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