A ball moved on a circular path such that 20sec are taken for one complete round.Find the speed and velocity after 4.5 rounds if the radius of the path is 4/pi.metre.
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Radius= 4/π m
distance covered in 1 round = 2πr
= 2 × π × 4/π
= 8 m
Distance covered in 4.5 rounds = 8 × 4.5
= 36 m
Time taken for 1 round = 20 seconds
Time taken for 4.5 rounds = 20 × 4.5
= 90 seconds
Speed = Distance/time
= 36/90
= 2/5 m/s
= 0.4 m/s
Displacement = 2r
= 2×4/π
= 8/π m
Time taken = 90 seconds
Velocity = Displacement/Time
= 8/π × 1/90
= 8 × 7/22 × 1/90
= 14/495
= 0.028 m/s
distance covered in 1 round = 2πr
= 2 × π × 4/π
= 8 m
Distance covered in 4.5 rounds = 8 × 4.5
= 36 m
Time taken for 1 round = 20 seconds
Time taken for 4.5 rounds = 20 × 4.5
= 90 seconds
Speed = Distance/time
= 36/90
= 2/5 m/s
= 0.4 m/s
Displacement = 2r
= 2×4/π
= 8/π m
Time taken = 90 seconds
Velocity = Displacement/Time
= 8/π × 1/90
= 8 × 7/22 × 1/90
= 14/495
= 0.028 m/s
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