A stone is whirled at the end of a rope 30cm long, makes 10 complete revolution in 2 seconds. Find (1) the angular velocity in radians per seconds. (2) the linear speed, (3) the distance covered in 5 seconds
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A stoned whirled at the end of a rope 20cm long make 8 complete revolution in 3second find
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To find the angular velocity, we can use the formula:
Angular velocity (ω) = 2π * Number of revolutions / Time
Given that the stone makes 10 complete revolutions in 2 seconds, we can substitute these values into the formula:
ω = 2π * 10 / 2
= 20π rad/s
Therefore, the angular velocity is 20π radians per second.
To find the linear speed, we can use the formula:
Linear speed (v) = ω * Radius
Given that the rope is 30 cm long (or 0.3 meters), we can substitute these values into the formula:
v = 20π * 0.3
= 6π m/s
Therefore, the linear speed is 6π meters per second.
To find the distance covered in 5 seconds, we can use the formula:
Distance = Linear speed * Time
Given that the linear speed is 6π m/s and the time is 5 seconds, we can substitute these values into the formula:
Distance = 6π * 5
= 30π meters
Therefore, the distance covered in 5 seconds is 30π meters.